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Graphs and Degree Equitability
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作者 Ahmad N. Al-Kenani Nandappa D. Soner Anwar Alwardi 《Applied Mathematics》 2013年第8期1199-1203,共5页
Let?G=(V,E)? be a graph. If φ is a function from the vertex set V(G) to the set of positive integers. Then two vertices?u, v ∈ V(G)? are?φ -equitable if|φ(u)-φ(v)|≤1.By the degree, equitable adjacency between ve... Let?G=(V,E)? be a graph. If φ is a function from the vertex set V(G) to the set of positive integers. Then two vertices?u, v ∈ V(G)? are?φ -equitable if|φ(u)-φ(v)|≤1.By the degree, equitable adjacency between vertices can be redefine almost all of the variants of the graphs. In this paper we study the degree equitability of the graph by defining equitable connectivity, equitable regularity, equitable connected graph and equitable complete graph. Some new families of graphs and some interesting results are obtained. 展开更多
关键词 Equitable DOMINATION Number Equitable Path Equitable WALK Equitable Connected GRAPH EquitableRegular GRAPH Equitable COMPLEMENT GRAPH Equitable Cut VERTEX Equitable Line GRAPH
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China’s Vision for Global Governance:A More Just and Equitable Future
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作者 Zhang Hui 《China Today》 2025年第10期2-2,共1页
Eighty years ago,the international community,reflecting deeply on the painful lessons of the two devastating world wars,established the United Nations,ushering in a new chapter of global governance and making historic... Eighty years ago,the international community,reflecting deeply on the painful lessons of the two devastating world wars,established the United Nations,ushering in a new chapter of global governance and making historic contributions to maintaining world peace and development. 展开更多
关键词 development just equitable future international community united nations world peace global governance
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Gains of Good Governance
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作者 ZHANG SHASHA 《China Today》 2025年第8期57-59,共3页
China’s modern corporate system fuels sustainable growth by merging profit-driven innovation with social responsibility,turning rural villages into prosperous microcosms of equitable development.
关键词 social responsibility sustainable growth equitable development profit driven innovation corporate system rural villages GOVERNANCE
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A Model for Modernisation
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作者 LI XIAOYU 《ChinAfrica》 2025年第8期14-15,共2页
China-Africa cooperation sets a benchmark for equitable development in a multipolar world Despite rising unilateralism and protectionism in the West and increasing uncertainties in global trade,China-Africa economic a... China-Africa cooperation sets a benchmark for equitable development in a multipolar world Despite rising unilateralism and protectionism in the West and increasing uncertainties in global trade,China-Africa economic and trade cooperation remains on a fast track,backed by concrete actions towards common modernisation.This collaboration reinforces solidarity across the Global South and contributes to greater stability and confidence in the global multilateral trading system. 展开更多
关键词 global trade multipolar world concrete actions towards common modernisationthis PROTECTIONISM equitable development China Africa cooperation UNILATERALISM multilateral trading system
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Energising an Equitable Energy Future
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作者 FRANCOIS ESSOMBA 《ChinAfrica》 2025年第9期42-43,共2页
Cameroon’s capital Yaoundécame alive on 16 and 17 July as it hosted a major international gathering for the liquefied natural gas(LNG)sector.The event brought together over 1,000 industry professionals and 50 ex... Cameroon’s capital Yaoundécame alive on 16 and 17 July as it hosted a major international gathering for the liquefied natural gas(LNG)sector.The event brought together over 1,000 industry professionals and 50 exhibitors from more than 30 countries including China to address the future of cleaner and more inclusive energy. 展开更多
关键词 liquefied natural gas LNG sector EXHIBITORS international gathering inclusive energy industry professionals equitable energy future cleaner energy
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Equitable Cluster Partition of Planar Graphs with Girth at Least 12
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作者 Xiaoling LIU Lei SUN Wei ZHENG 《Journal of Mathematical Research with Applications》 CSCD 2024年第2期152-160,共9页
An equitable(O^(1)_(k),O^(2)_(k),...,O^(m)_(k))-partition of a graph G,which is also called a k cluster m-partition,is the partition of V(G)into m non-empty subsets V_(1),V_(2),...,Vm such that for every integer i in{... An equitable(O^(1)_(k),O^(2)_(k),...,O^(m)_(k))-partition of a graph G,which is also called a k cluster m-partition,is the partition of V(G)into m non-empty subsets V_(1),V_(2),...,Vm such that for every integer i in{1,2,...,m},G[Vi]is a graph with components of order at most k,and for each distinct pair i,j in{1,...,m},there is−1≤|Vi|−|Vj|≤1.In this paper,we proved that every planar graph G with minimum degreeδ(G)≥2 and girth g(G)≥12 admits an equitable(O_(1)^(7),O^(2)_(7),...,O^(m)_(7))-partition,for any integer m≥2. 展开更多
关键词 equitable cluster partition planar graph GIRTH DISCHARGING
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Equitable Total Coloring of Fibonacci Graphs
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作者 Yong LI Chunling TONG +1 位作者 Senyuan SU Yanan SU 《Journal of Mathematical Research with Applications》 CSCD 2024年第2期143-151,共9页
The equitable total coloring of a graph G is a total coloring such that the numbers of elements in any two colors differ by at most one.The smallest number of colors needed for an equitable total coloring is called th... The equitable total coloring of a graph G is a total coloring such that the numbers of elements in any two colors differ by at most one.The smallest number of colors needed for an equitable total coloring is called the equitable total chromatic number.This paper contributes to the equitable total coloring of Fibonacci graphs F_(∆,n).We determine the equitable total chromatic numbers of F_(∆,n) for∆=3,4,5 and propose a conjecture on that for∆>=6. 展开更多
关键词 Fibonacci graph equitable total coloring equitable total chromatic number
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Facing ethical concerns in the age of precise gene therapy:Outlook on inherited arrhythmias
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作者 Federico Carbone Fabrizio Montecucco 《World Journal of Cardiology》 2024年第2期64-66,共3页
This editorial,comments on the article by Spartalis et al published in the recent issue of the World Journal of Cardiology.We here provide an outlook on potential ethical concerns related to the future application of ... This editorial,comments on the article by Spartalis et al published in the recent issue of the World Journal of Cardiology.We here provide an outlook on potential ethical concerns related to the future application of gene therapy in the field of inherited arrhythmias.As monogenic diseases with no or few therapeutic options available through standard care,inherited arrhythmias are ideal candidates to gene therapy in their treatment.Patients with inherited arrhythmias typically have a poor quality of life,especially young people engaged in agonistic sports.While genome editing for treatment of inherited arrhythmias still has theoretical application,advances in CRISPR/Cas9 technology now allows the generation of knock-in animal models of the disease.However,clinical translation is somehow expected soon and this make consistent discussing about ethical concerns related to gene editing in inherited arrhythmias.Genomic off-target activity is a known technical issue,but its relationship with ethnical and individual genetical diversity raises concerns about an equitable accessibility.Meanwhile,the costeffectiveness may further limit an equal distribution of gene therapies.The economic burden of gene therapies on healthcare systems is is increasingly recognized as a pressing concern.A growing body of studies are reporting uncertainty in payback periods with intuitive short-term effects for insurance-based healthcare systems,but potential concerns for universal healthcare systems in the long term as well.Altogether,those aspects strongly indicate a need of regulatory entities to manage those issues. 展开更多
关键词 ETHICS Inherited arrhythmias CRISPR/Cas9 Gene therapy Equitable accessibility
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Plant community and ecological analysis of woodland vegetation in Metema Area,Amhara National Regional State,Northwestern Ethiopia 被引量:5
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作者 Haile Adamu Wale Tamrat Bekele Gemedo Dalle 《Journal of Forestry Research》 CAS CSCD 2012年第4期599-607,共9页
We studied woodland vegetation in broad-leaved deciduous woodlands of Metema in northwestern Amhara regional state, Ethiopia to determine plant community types and species distribution patterns and their relationships... We studied woodland vegetation in broad-leaved deciduous woodlands of Metema in northwestern Amhara regional state, Ethiopia to determine plant community types and species distribution patterns and their relationships with environmental variables, including altitude, pH, cation exchange capacity, electrical conductivity (EC), and moisture. We used a selective approach with a systematic sampling design. A total of 74 quadrats, each 25m × 25m at intervals of 150-200 m were sampled along the established transect lines. For herbaceous vegetation and soil data collection, five subquadrats each lm x lm were established at the four corners and the center of each quadrat. Three community types were identified using TWINSPAN analysis. All three community types showed high diversity (Shannon-Weiner index), the highest in community type II at 3.55. The highest similarity coefficient was 0.49 (49%) between community types II and III, reflecting 0.51 (51%) dissimilarity in their species richness. The canonical correspondence ordination diagram revealed that the distribution pattern of community type I was explained by moisture while that of community types III and II was explained by EC and altitude and moisture, respectively. Altitude was the most statistically significant environmental variable, followed by moisture and EC in determining the total variation in species composition and distribution patterns while pH and cation exchange capacity were non significant. In conclusion, we recommend that any intervention should take into account these three discrete community types and their environmental settings to make the intervention more successful. 展开更多
关键词 equitability diversity DRYLAND environmental variables ordination metema woodland plant community types similarity
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Floristic diversity, regeneration status, and vegetation structure of woodlands in Metema Area, Amhara National Regional State, North-western Ethiopia 被引量:4
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作者 Haile Adamu Wale Tamrat Bekele Gemedo Dalle 《Journal of Forestry Research》 CAS CSCD 2012年第3期391-398,共8页
We studied woodland vegetation in broad-leaved deciduous woodlands of Metema in northwestern Amhara regional state, Ethiopia Our objective was to describe plant species composition, diversity, re- generation status, a... We studied woodland vegetation in broad-leaved deciduous woodlands of Metema in northwestern Amhara regional state, Ethiopia Our objective was to describe plant species composition, diversity, re- generation status, and population structure by a selective approach with a systematic sampling design. A total of 74 quadrats (each for 25 m x 25 m, spaced at intervals of 150--200 m) were sampled along established tran- sect lines following the homogeneity of the vegetation. Vegetation data including cover-abundance, height, diameter at breast height (DBH), and numbers of seedlings and saplings of woody species were analyzed using Excel spreadsheet, Shannon Weiner diversity index, and PAST version 1.62. A total of 87 vascular plant species of 74 genera and 36 families were recorded. The dominant family was Fabaceae represented by 16 (18.39 %) species of 13 genera. Shannon Weiner diversity and evenness were 3.67 and 0.82, respectively, which showed that the area was en- dowed with rich floral diversity evenly distributed. The vegetation structure, as quantified by cumulative diameter class frequency distribution, plotted as an interrupted inverted-J- shape pattern with a sharp decrease in the 2nd diameter class. This indicated poor vegetation structure. The diameter classes frequency distributions of selected species plotted in four general patterns i.e., interrupted Inverted-J-shape, J-shape, Bell-shape and Irregular-shape. In conclusion, although the area showed high floral diversity and evenness, woody species including Sterculea setigera, Boswellia papyrifera, and Pterocarpus lucens showed lowest recruitment of seedlings and saplings. 展开更多
关键词 equitability diversity DRYLAND Metema Woodland popula- tion structure REGENERATION
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Study on the Concept of Per Capita Cumulative Emissions and Allocation Options 被引量:3
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作者 Shengmin Yu Xiang Gao Cuimei Ma Lihua Zhai 《Advances in Climate Change Research》 SCIE 2011年第2期79-85,共7页
Global long-term emission reduction targets need well defined options for equitable allocation of greenhouse gas emissions. Scholars from developing countries put forward the concept of equitable per capita cumulative... Global long-term emission reduction targets need well defined options for equitable allocation of greenhouse gas emissions. Scholars from developing countries put forward the concept of equitable per capita cumulative emission rights. There are four possible operational definitions resulting from this concept. These potential options for allocation of emission rights are expressed with mathematical equations. Through simple simulation, this paper reveals the advantages, disadvantages and characteristics of each option. 展开更多
关键词 climate change global long-term target per capita historical cumulative emission right equitable allocation
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Equitable Strong Edge Coloring of the Joins of Paths and Cycles 被引量:2
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作者 Tao WANG Ming Ju LIU De Ming LI 《Journal of Mathematical Research with Applications》 CSCD 2012年第1期11-18,共8页
For a proper edge coloring c of a graph G, if the sets of colors of adjacent vertices are distinct, the edge coloring c is called an adjacent strong edge coloring of G. Let ci be the number of edges colored by i. If [... For a proper edge coloring c of a graph G, if the sets of colors of adjacent vertices are distinct, the edge coloring c is called an adjacent strong edge coloring of G. Let ci be the number of edges colored by i. If [ci - cj] ≤1 for any two colors i and j, then c is an equitable edge coloring of G. The coloring c is an equitable adjacent strong edge coloring of G if it is both adjacent strong edge coloring and equitable edge coloring. The least number of colors of such a coloring c is called the equitable adjacent strong chromatic index of G. In this paper, we determine the equitable adjacent strong chromatic index of the joins of paths and cycles. Precisely, we show that the equitable adjacent strong chromatic index of the joins of paths and cycles is equal to the maximum degree plus one or two. 展开更多
关键词 adjacent strong edge coloring equitable edge coloring joins of paths cycle maximum degree chromatic index.
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ON EQUITABLE VERTEX DISTINGUISHING EDGE COLORINGS OF TREES
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作者 姚兵 陈祥恩 镡松龄 《Acta Mathematica Scientia》 SCIE CSCD 2013年第3期621-630,共10页
It has been known that determining the exact value of vertex distinguishing edge index X '8(G) of a graph G is difficult, even for simple classes of graphs such as paths, cycles, bipartite complete graphs, complete... It has been known that determining the exact value of vertex distinguishing edge index X '8(G) of a graph G is difficult, even for simple classes of graphs such as paths, cycles, bipartite complete graphs, complete, graphs, and graphs with maximum degree 2. Let rid(G) denote the number of vertices of degree d in G, and let X'es(G) be the equitable vertex distinguishing edge index of G. We show that a tree T holds nl (T) ≤ X 's (T) ≤ n1 (T) + 1 and X's(T) = X'es(T) if T satisfies one of the following conditions (i) n2(T) ≤△(T) or (ii) there exists a constant c with respect to 0 〈 c 〈 1 such that n2(T) △ cn1(T) and ∑3 ≤d≤△(T)nd(T) ≤ (1 - c)n1(T) + 1. 展开更多
关键词 Vertex distinguishing edge coloring equitable coloring trees
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Factors Influencing the Utilization of Postpartum Visits among Rural Women in China
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作者 项远兮 熊巨洋 +2 位作者 田淼淼 袁芳 冯占春 《Journal of Huazhong University of Science and Technology(Medical Sciences)》 SCIE CAS 2014年第6期869-874,共6页
Postpartum visits (PPVs) are still underutilized in rural China, and identification of factors that influence PPV use is important in ensuring the utilization of maternal health services and for well- being of women... Postpartum visits (PPVs) are still underutilized in rural China, and identification of factors that influence PPV use is important in ensuring the utilization of maternal health services and for well- being of women. A cross-section study was undertaken to collect related data from 347 rural women in- terviewed six weeks or more after delivery, and an ANOVA was performed to find whether there were significant differences in the number of PPVs among different rural areas in China. According to An- dersen's socio-behavioral model of health service use, factors were divided into equitable and inequita- ble "ones. Chi-squared test, univariate and multiple analyses were used to determine the equity of PPV use by identifying factors that were most strongly associated with the use of a PPV. The results showed that 20.2% of the respondents (n=70) did not receive any PPVs, and 62.5% (n=173) of those who had PPVs (n=277) did not receive standard PPVs (referring to at least 3 visits). There was no significant difference among different rural areas in terms of the number of PPVs (F=1.514, P=-0.211). Multiple re- gression analyses revealed that enabling factors such as compensation for delivery expense [OR (95% CI)=2.825 (1.331, 5.995)], village type [OR (95% CI)=1.802 (1.021, 3.182)] and service quality [OR (95% CI)=1.847 (1.074, 3.176)] were strongly associated with PPV use. Both enabling factors such as home visits [OR (95% CI)=1.855 (1.085, 3.174)], service quality [OR (95% CI)=1.993 (1.155, 3.439)] and need factors such as low birth weight [OR (95% CI)=4.424 (1.482, 13.203)] were significantly as- sociated with standard PPV use. Our results suggested that the equitable access to PPVs has been con- siderably improved in rural areas in China. The associations between inequitable factors and PPV use warrant further exploration, and policies aimed at improving quality and patterns of service supply are needed in order to ensure a full equitable access to maternal health services. 展开更多
关键词 postpartum visit UTILIZATION maternal health equitable access essential public health ser-vices
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A Study on the Inj-Equitable Graph of a Graph
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作者 Hanaa Alashwali Ahmad N. Alkenani +1 位作者 A. Saleh Najat Muthana 《Applied Mathematics》 2018年第3期264-273,共10页
For any graph G, the Inj-equitable graph of a graph G, denoted by IE (G) , is the graph with the same vertices as G and for any two adjacent vertices u and v in IE (G), ≤ 1, where for any vertex w∈V (G) , degin (w)?... For any graph G, the Inj-equitable graph of a graph G, denoted by IE (G) , is the graph with the same vertices as G and for any two adjacent vertices u and v in IE (G), ≤ 1, where for any vertex w∈V (G) , degin (w)?= . In this paper, Inj-equitable graphs of some graphs are obtained, and some properties and results are established. Moreover, complete Inj-equitable graph and the Inj-equitable graph are defined. 展开更多
关键词 DOMINATION INJECTIVE Equitable GRAPH Equitable MATRIX INJECTIVE MATRIX
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A COMPARISON BETWEEN TWO KINDS OF BMS BASED ON DIFFERENT CREDIBILITY
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作者 Wang Yixuan Zhou Shuzi 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2005年第4期407-415,共9页
The paper develops a design of optimal Bonus-Malus System (BMS) based on exact equitable credibility,in which the relative error function is taken as loss function. In BMS,both the frequency and the severity compone... The paper develops a design of optimal Bonus-Malus System (BMS) based on exact equitable credibility,in which the relative error function is taken as loss function. In BMS,both the frequency and the severity components are considered. This design is compared with traditional BMS derived from classical squared-error loss function. 展开更多
关键词 Bonus-Malus System equitable credibility exact credibility.
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The Middle Equitable Dominating Graphs
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作者 Anwar Alwardi N.D. Soner Ahmad N. Al-Kenani 《Open Journal of Discrete Mathematics》 2012年第3期93-95,共3页
Let G= (V, E) be a graph and A(G) is the collection of all minimal equitable dominating set of G. The middle equitable dominating graph of G is the graph denoted by Med(G) with vertex set the disjoint union of V∪A(G)... Let G= (V, E) be a graph and A(G) is the collection of all minimal equitable dominating set of G. The middle equitable dominating graph of G is the graph denoted by Med(G) with vertex set the disjoint union of V∪A(G) and (u, v) is an edge if and only if u ∩ v ≠ φ whenever u, v ∈ A(G) or u ∈ v whenever u ∈ v and v ∈ A(G) . In this paper, characterizations are given for graphs whose middle equitable dominating graph is connected and Kp∈Med(G) . Other properties of middle equitable dominating graphs are also obtained. 展开更多
关键词 Eqitable DOMINATION Number MIDDLE Equitable Dominating Graph INTERSECTION GRAPHS
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The Spectral Radii of Some Adhesive Graphs
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作者 Qingning Wang 《Applied Mathematics》 2021年第4期262-268,共7页
The spectral radius of a graph is the maximum eigenvalues of its adjacency matrix. In this paper, using the property of quotient graph, the sharp upper bounds for the spectral radii of some adhesive graphs are determi... The spectral radius of a graph is the maximum eigenvalues of its adjacency matrix. In this paper, using the property of quotient graph, the sharp upper bounds for the spectral radii of some adhesive graphs are determined. 展开更多
关键词 Spectral Radius Adjacency Matrix Equitable Partition Quotient Graph
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Applying Sustainability and Ethics in Forest Management and Community Livelihoods: A Case Study from Arabuko Sokoke Forest, Kenya
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作者 Musingo T. E. Mbuvi Leila Ndalilo Aden Hussein 《Open Journal of Forestry》 2018年第4期532-552,共21页
Efforts to manage forests continue to be enhanced equally as emergence of investments in community livelihoods whose benefits are inequitable. Lit-erature review, focus group discussion and key informant interviews sh... Efforts to manage forests continue to be enhanced equally as emergence of investments in community livelihoods whose benefits are inequitable. Lit-erature review, focus group discussion and key informant interviews showed that Arabuko Sokoke Forest has been managed under different management regimes;stakeholders have increased from singular to multiple with each stakeholder’s interests hinged on different conservation theories and ethical principles, despite that well-meaning facilitation, laws and policies, unsustainable and un-ethical scenarios abound. Extreme scenarios of a poor mother being denied firewood for lighting, warming and cooking food in order to conserve biodiversity. These are both right and wrong, a fluidity requiring situation specific sustainability and ethical justification. A discourse guided by the sustainable development goals provides a mechanism for moderating the diverse interests and helps bring harmony and synergies among all stakeholders for the common good without compromising the ecological functions of the forests thus ensuring sustainability. 展开更多
关键词 FOREST Equitable Livelihoods SUSTAINABILITY and ETHICS
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Some Results on Vertex Equitable Labeling
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作者 P. Jeyanthi A. Maheswari 《Open Journal of Discrete Mathematics》 2012年第2期51-57,共7页
Let G be a graph with p vertices and q edges and let A= vertex labeling is said to be a vertex equitable labeling of G if it induces an edge labeling given by such that and , where is the number of vertices v with for... Let G be a graph with p vertices and q edges and let A= vertex labeling is said to be a vertex equitable labeling of G if it induces an edge labeling given by such that and , where is the number of vertices v with for A graph G is said to be a vertex equitable graph if it admits vertex equitable labeling. In this paper, we establish the vertex equitable labeling of a Tp-tree, where T is a Tp-tree with even number of vertices, bistar the caterpillar and 展开更多
关键词 VERTEX Equitable LABELING VERTEX Equitable GRAPH
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