期刊文献+
共找到3,457篇文章
< 1 2 173 >
每页显示 20 50 100
1-Planar Graphs with Girth at Least 7 are(1,1,1,0)-Colorable 被引量:1
1
作者 Ya-nan CHU Lei SUN 《Journal of Mathematical Research with Applications》 CSCD 2016年第6期643-650,共8页
A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge.In this paper,it is shown that 1-planar graphs with girth at least7 are(1,1,1,0)-colorable.
关键词 vertex coloring crossing planar undirected colorable Figure subgraph integers incident
原文传递
Uniquely Tree Colorable Graphs
2
作者 Deng Ping Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China 《Journal of Modern Transportation》 1997年第1期90-95,共6页
In this paper, the concepts of tree chromatic numbers and uniquely tree colorable graphs are introduced. After discussion some fundamental properties, three necessary conditions for a simple graph to be uniquely tr... In this paper, the concepts of tree chromatic numbers and uniquely tree colorable graphs are introduced. After discussion some fundamental properties, three necessary conditions for a simple graph to be uniquely tree colorable are given. Moreover, a series of uniquely tree colorable graphs are constructed. 展开更多
关键词 tree chromatic number tree partition uniquely tree colorable graph
在线阅读 下载PDF
Plane Graphs with Maximum Degree 5 Are 11-Linear-Colorable
3
作者 Kan WANG Weifan WANG 《Journal of Mathematical Research with Applications》 CSCD 2012年第6期647-653,共7页
A linear coloring of a graph G is a proper vertex coloring such that the graph induced by the vertices of any two color classes is the union of vertex-disjoint paths. The linear chromatic number lc(G) of G is the sm... A linear coloring of a graph G is a proper vertex coloring such that the graph induced by the vertices of any two color classes is the union of vertex-disjoint paths. The linear chromatic number lc(G) of G is the smallest number of colors in a linear coloring of G. In this paper, we prove that every planar graph G with maximum degree 5 is 11-linear-colorable. 展开更多
关键词 planar graph linear coloring maximum degree.
原文传递
Colorable photothermal-induced self-repairing anti-corrosion coating based on confined solid-liquid transition
4
作者 Jiahong Wei Ting Shen +3 位作者 Wenkai Cao Long Jiang Yu He Weihua Li 《Journal of Materials Science & Technology》 CSCD 2024年第30期227-237,共11页
Self-repairing coatings hold promise for prolonging the lifespan of steel structures and reducing carbon dioxide emissions from metal corrosion.Reversible chemistry-based intrinsic self-repairing has emerged as a cutt... Self-repairing coatings hold promise for prolonging the lifespan of steel structures and reducing carbon dioxide emissions from metal corrosion.Reversible chemistry-based intrinsic self-repairing has emerged as a cutting-edge strategy for addressing material damage.However,achieving effective repair at damaged coating interfaces remains challenging due to adhesion limitations between the coating and substrate.In this study,we propose an innovative approach to efficiently repair coating damage using photothermal-induced confined solid-liquid transition.We developed a unique structured coating by incorporating ther-moplastic epoxy resin(EP)into a polyethersulfone(PES)network skeleton through controlled reaction-induced phase separation.Additionally,we synthesized visible-light transmittable copper sulfide(CuS)nanocrystals as photothermal fillers to impart PES/EP-CuS coating with colorability.Upon near-infrared(NIR)laser irradiation,the EP phase undergoes confined solid-liquid transition at the crack site,enabling it to flow through the PES skeleton and seal the crack.This process promotes contact between damaged interfaces and closes the crack through interfacial tension.The PES/EP-CuS coating exhibited exceptional anti-corrosion restoration during service,showcasing its robust self-repairing capability. 展开更多
关键词 Confined solid-liquid transition Photothermal effect Colorability SELF-REPAIRING Anti-corrosion coating
原文传递
1-planar Graphs without 4-cycles or 5-cycles are 5-colorable
5
作者 Li-li SONG Lei SUN 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2022年第1期169-177,共9页
A graph is 1-planar if it can be drawn on the Euclidean plane so that each edge is crossed by at most one other edge.A proper vertex k-coloring of a graph G is defined as a vertex coloring from a set of k colors such ... A graph is 1-planar if it can be drawn on the Euclidean plane so that each edge is crossed by at most one other edge.A proper vertex k-coloring of a graph G is defined as a vertex coloring from a set of k colors such that no two adjacent vertices have the same color.A graph that can be assigned a proper k-coloring is k-colorable.A cycle is a path of edges and vertices wherein a vertex is reachable from itself.A cycle contains k vertices and k edges is a k-cycle.In this paper,it is proved that 1-planar graphs without 4-cycles or 5-cycles are 5-colorable. 展开更多
关键词 1-planar colorable DISCHARGING VERTICES FACES
原文传递
Preliminary Study on Screening Loquat Hybrid Seedlings for Flesh Color Using PSY Gene Molecular Markers
6
作者 Ling LIN Zhenyu PENG +9 位作者 Wei SONG Jianbing HE Zhuoxi LI Shousheng ZHONG Meng CHEN Danli WEI Xinyue YU Xiaolei JIAO Liang CHEN Lun SU 《Asian Agricultural Research》 2026年第2期27-29,共3页
[Objectives]To distinguish loquat flesh color,thereby guiding early-age selection in loquat hybrid progeny.[Methods]Molecular markers based on the phytoene synthase gene(PSY)of loquat were applied to a hybrid progeny ... [Objectives]To distinguish loquat flesh color,thereby guiding early-age selection in loquat hybrid progeny.[Methods]Molecular markers based on the phytoene synthase gene(PSY)of loquat were applied to a hybrid progeny population derived from a cross between‘Zaozhong 6’and a local wild white-fleshed loquat resource‘DB1’.[Results]Among the 49 hybrid progeny,24 were identified as white-fleshed loquat resources and 25 as yellow-fleshed loquat resources.[Conclusions]The molecular marker of the PSY gene can effectively distinguish loquat flesh color and is of significant importance for guiding early-age selection in loquat hybrid breeding. 展开更多
关键词 PSY GENE Molecular MARKER LOQUAT FLESH color
在线阅读 下载PDF
Color of the Year 2026: Cloud Dancer, a hue of serenity and space
7
《China Textile》 2026年第1期54-55,共2页
The Pantone Color of the Year 2026,PANTONE 11-4201 Cloud Dancer,has been introduced as a soft,lofty white symbolizing calm and clarity in an increasingly noisy world.This gentle shade invites a sense of peace and spac... The Pantone Color of the Year 2026,PANTONE 11-4201 Cloud Dancer,has been introduced as a soft,lofty white symbolizing calm and clarity in an increasingly noisy world.This gentle shade invites a sense of peace and spaciousness,encouraging focus and creating room for creativity and reflection.Cloud Dancer embodies a desire for simplicity and renewal-a blank canvas that allows our minds to wander and new ideas to take shape.Its expansive presence fosters environments where tranquility meets inspiration,offering visual calm that supports wellbeing and mental lightness. 展开更多
关键词 pantone color SERENITY SPACE clarity creativity blank canvas reflection cloud dancerhas
在线阅读 下载PDF
PavbHLH102 functions as a positive regulator of anthocyanin biosynthesis in sweet cherry fruit by targeting multiple key genes
8
作者 Wanjia Tang HongFen Li +9 位作者 Yidi Huang Wenyi Niu Quanyan Du Yizhe Chu Yujie Gao Runmei He Yunjia Tang Hongxu Chen Yangang Pei Ronggao Gong 《Horticultural Plant Journal》 2026年第2期317-332,共16页
Anthocyanins play a crucial role in shaping the visual appeal and nutritional quality of fruits.Previous research on anthocyanin biosynthesis in sweet cherry(Prunus avium L.)has primarily relied on single-omics approa... Anthocyanins play a crucial role in shaping the visual appeal and nutritional quality of fruits.Previous research on anthocyanin biosynthesis in sweet cherry(Prunus avium L.)has primarily relied on single-omics approaches or focused on a limited range of metabolites,leaving the regulatory mechanisms and dynamic metabolism of anthocyanins during ripening inadequately characterized.This study integrated anthocyanin-targeted metabolomics and transcriptomics to identify key anthocyanins in sweet cherry and construct a transcriptional regulatory network for anthocyanin biosynthesis.A novel bHLH transcription factor,Prunus avium bHLH transcription factor 102(PavbHLH102),was identified,and its role in regulating cyanidin levels was validated through overexpression and silencing experiments.Both in vitro and in vivo assays demonstrated that PavbHLH102 activates key anthocyanin biosynthetic genes,including PavF3H,PavDFR,and PavUFGT,thereby enhancing fruit coloration.Notably,PavF3′H upregulation significantly increased cyanidin accumulation.This study provides new insights into anthocyanin regulation in sweet cherry and offers valuable resources for improving fruit quality. 展开更多
关键词 Sweet cherry Prunus avium L. ANTHOCYANIN Fruit coloration Transcription regulation TRANSCRIPTOMICS Metabolomics
在线阅读 下载PDF
FcMET1 mediates low DNA methylation and promotes peel coloring in Ficus carica
9
作者 Kairong Sun Xiaoxiao Wang +5 位作者 Hantang Huang Yuan Wang Zhiyi Fan Yutian Xia Huiqin Ma Miaoyu Song 《Horticultural Plant Journal》 2026年第2期345-355,共11页
Fig(Ficus carica L.)with purple-red peel cultivars are popular among consumers and exhibit better storability.While DNA methylation influences fruit ripening and color development,its specific role in fig fruit remain... Fig(Ficus carica L.)with purple-red peel cultivars are popular among consumers and exhibit better storability.While DNA methylation influences fruit ripening and color development,its specific role in fig fruit remains unclear.This study explores the impact of DNA methylation on the fig peel coloration.Enzymatic colorimetric detection revealed that the level of‘Purple Peel’fig DNA methylation decreases with fig fruit ripening and coloring.Treatment of young fruit with the DNA-methylation inhibitor azacytidine induced peel coloration,suggesting that a decrease in DNA-methylation level promotes fig peel coloration.Seven members of DNA methyltransferases and three members of DNA demethylases were identified from a high-level fig genome,highlighting FcMET1 and FcDRM2 as stable proteins,ensuring functional expression.Reference to the Arabidopsis protein interaction network map predicted that FcMET1 is in a central position,suggesting a crucial regulatory role in multiple biological processes.Correlation analysis revealed a positive correlation between FcMET1 expression during peel development and the level of total DNA methylation.Weighted gene co-expression network analysis identified co-expression of FcMET1 with the color-related transcription factors MYB,bHLH and WD40,as well as with eight structural genes in the flavonoid-biosynthesis pathway.The expression of FcUFGT3 was negatively correlated with that of FcMET1.McrBC-PCR and Bisulfite Sequencing detection showed that a low methylation level of the FcUFGT3 promoter corresponds with its high expression in colored fig.This investigation of the mechanism of DNA methylation provides a theoretical basis for understanding the role of DNA-methylation modifications in fig ripening and coloring. 展开更多
关键词 Ficus carica L. DNA methylation FcMET1 COLORING PEEL
在线阅读 下载PDF
Dual-Mode Sensor with Saturated Mechanochromic Structural Color Enhanced by Black Conductive Hydrogel for Interactive Rehabilitation Monitoring
10
作者 Zhiyuan Sun Binhong Yu +10 位作者 Chao Dong Chengjun Yu Lianghe Sheng Zhe Cui Yaming Liu Zhenni Lu Bingda Chen Daixi Xie Zhandong Huang Songshan Zeng Qingdong Ou 《Nano-Micro Letters》 2026年第4期153-171,共19页
Flexible and wearable sensors offer immense potential for rehabilitation medicine,but most rely solely on electrical signals,lacking real-time visual feedback and limiting trainee's interactivity.Inspired by the s... Flexible and wearable sensors offer immense potential for rehabilitation medicine,but most rely solely on electrical signals,lacking real-time visual feedback and limiting trainee's interactivity.Inspired by the structural coloration of Cyanocitta stelleri feathers,we developed a dual-mode sensor by utilizing black conductive polymer hydrogel(CPH)-enhanced structural color strategy.This sensor integrates a hydroxypropyl cellulose(HPC)-based structural color interface with a designed CPH sensing component.Highly visible light-absorbing CPH(absorption rate>88%)serves as the critical substrate for enhancing structural color performance.By absorbing incoherent scattered light and suppressing background interference,it significantly enhances the saturation of structural color,thereby achieving a high contrast index of 4.92.Unlike the faint and hardly visible structural colors on non-black substrates,the HPC on CPH displays vivid,highly perceptible colors and desirable mechanochromic behavior.Moreover,the CPH acts as a flexible sensing element,fortified by hydrogen and coordination bond networks,and exhibits exceptional electromechanical properties,including 867.1 kPa tensile strength,strain sensitivity(gauge factor of 4.24),and outstanding durability(over 4400 cycles).Compared to traditional single-mode sensors,the integrated sensor provides real-time visual and digital dual feedback,enhancing the accuracy and interactivity of rehabilitation assessments.This technology holds promise for advancing next-generation rehabilitation medicine. 展开更多
关键词 Conductive hydrogel Structural color Hydroxypropyl cellulose Dual-mode sensor Rehabilitation monitoring
在线阅读 下载PDF
Avient推出Colorant Chromatics PVDF加工助剂
11
作者 钱伯章 《合成材料老化与应用》 2026年第1期97-97,共1页
俄亥俄州Avient Corporation公司宣布推出Colorant Chromatics^(TM)PVDF加工助剂,该助剂专门用于改善聚偏氟乙烯(PVDF)树脂的熔体加工。这些高性能的加工助剂可以提高PVDF挤出过程中的生产效率。他们可以减少或消除模具堆积更清洁,更一... 俄亥俄州Avient Corporation公司宣布推出Colorant Chromatics^(TM)PVDF加工助剂,该助剂专门用于改善聚偏氟乙烯(PVDF)树脂的熔体加工。这些高性能的加工助剂可以提高PVDF挤出过程中的生产效率。他们可以减少或消除模具堆积更清洁,更一致的挤压。它们还可以最大限度地减少缺陷并防止熔融断裂(鲨鱼皮),从而在最终产品中提供高质量的表面。使用这些专门的PVDF加工助剂还可以提高生产线速度,提高生产效率,降低总能耗。 展开更多
关键词 Avient 聚偏氟乙烯 PVDF Colorant Chromatics 加工助剂
在线阅读 下载PDF
Pressure-induced tunable photoluminescence of Mn-doped post-perovskites(TDMP)PbBr_(4)
12
作者 Ruijing Fu Junpeng Gao +4 位作者 Lingrui Wang Bin Xiao Guangxia Wang Qingguang Zeng Guanjun Xiao 《Chinese Chemical Letters》 2026年第2期536-539,共4页
One-dimensional(1D)organic-inorganic halide perovskites have produced significant research interest due to their unique structure and superior tunable luminescence properties.Here,we successfully achieved a unique col... One-dimensional(1D)organic-inorganic halide perovskites have produced significant research interest due to their unique structure and superior tunable luminescence properties.Here,we successfully achieved a unique color-tunable phenomenon of Mn-doped 1D post-perovskite(TDMP)PbBr_(4)(TDMP=trans-2,5-dimethylpiperazine)(TPBM-14)under high pressure.Which exhibited tunable photoluminescence(PL)emission from red to yellow orange.Meanwhile,the band gap continued to decrease below 20.0 GPa,accompanied by piezochromism,which was associated the shrinkage and distortion of inorganic,which enhances the crystal field splitting energy and reduces the energy gap of the ^(4)T_(1) to ^(6)A_(1) transition.The unique octahedral corner-and edge-sharing structure of(TDMP)PbBr_(4),the synergistic effect of Mn doping and pressure induces local lattice distortion in TPBM-14,leading to a significant enhancement of the STE emission at 8.1 GPa.Our research explores the intrinsic connection between the band structure and optical properties of TPBM-14 under high pressure and offers valuable insights for performance optimization. 展开更多
关键词 High pressure Piezochromism Mn-doped perovskite Emission color modulation One-dimensional organic-inorganic halide PEROVSKITE
原文传递
The t-Tone Coloring of Some Finite Planar Lattices
13
作者 Xiaoling ZHANG 《Journal of Mathematical Research with Applications》 2026年第1期13-20,共8页
A t-tone coloring of a graph assigns t distinct colors to each vertex with vertices at distance d having fewer than d colors in common.The t-tone chromatic number of a graph is the smallest number of colors used in al... A t-tone coloring of a graph assigns t distinct colors to each vertex with vertices at distance d having fewer than d colors in common.The t-tone chromatic number of a graph is the smallest number of colors used in all t-tone colorings of that graph.In this article,we study t-tone coloring of some finite planar lattices and obtain exact formulas for their t-tone chromatic number. 展开更多
关键词 t-tone coloring t-tone chromatic number planar lattice
原文传递
Exploring the design potential of iridescent Flavobacteria for thermochromic engineered living materials
14
作者 Clarice Risseeuw Likhitha Kummetha +3 位作者 Colin Ingham Elvin Karana Marie-Eve Aubin-Tam Joana Martins 《Bio-Design and Manufacturing》 2026年第1期182-196,I0031-I0046,共31页
By leveraging the unique qualities of microorganisms,engineered living materials(ELMs)offer functional and economic advantages in everyday applications along with notable ecological benefits.This study contributes to ... By leveraging the unique qualities of microorganisms,engineered living materials(ELMs)offer functional and economic advantages in everyday applications along with notable ecological benefits.This study contributes to the growing field of biodesign by examining the potential of Flavobacteria for thermochromic ELMs.Many Flavobacteria,commonly found in marine environments,produce iridescent structural colorations as their colonies expand on semi-solid surfaces through gliding motility.In this study,we analyzed the effects of temperature variations on flavobacterium Cellulophaga lytica PLY A 2,characterizing distinct changes in colony growth and iridescent colorations at a macroscopic and microscopic scale.Using scanning electron microscopy,we investigated the relationship between iridescent color and the underlying cell-based optical structures.By providing insights into the temperature-responsive behavior of Flavobacteria,our findings highlight their potential for future thermochromic ELMs-with applications ranging from sustainable food packaging to smart textiles-while encouraging further characterization studies within biodesign research. 展开更多
关键词 Engineered living materials(ELMs) Living sensors THERMOCHROMIC TEMPERATURE-RESPONSIVE Iridescent color Cellulophaga lytica PLY-A2
在线阅读 下载PDF
Gap-free,haplotype-resolved genome assembly reveals allele-specific expression and fruit color regulation in coconut
15
作者 Min Chen Jing Li +6 位作者 Ziqi Ye Xiwei Sun Xiaomei Liu Hao Ding Lixia Zhou Xingtan Zhang Yaodong Yang 《Horticultural Plant Journal》 2026年第1期217-220,共4页
Coconut(Cocos nucifera L.),a major oil and fruit crop of the Arecaceae family,is extensively cultivated across the Asia—Pacific region.Despite its agricultural importance,genome assembly in coconut remains challengin... Coconut(Cocos nucifera L.),a major oil and fruit crop of the Arecaceae family,is extensively cultivated across the Asia—Pacific region.Despite its agricultural importance,genome assembly in coconut remains challenging due to its large genome size and high proportion of repetitive sequences.Allele-specific expression(ASE)plays a key role in regulating plant development and evolution,yet research on ASE in coconut is limited(Shao et al.,2019;Li et al.,2021;Zhang et al.,2021;Hu et al.,2022).Among phenotypic traits,fruit color is especially important as an indicator of maturity,guiding harvest timing and post-harvest processes(Kapoor et al.,2022).While prior studies have explored various coconut traits such as salt tolerance,fiber content,and plant height(Wang et al.,2021;Yang et al.,2021),investigations into ASE and fruit color remain scarce. 展开更多
关键词 allele specific expression Cocos nucifera haplotype resolved fruit color Asia Pacific region COCONUT phenotypic trai oil fruit crop
在线阅读 下载PDF
Insights into the geranylgeranyl pyrophosphate synthase(GGPPS)gene family in Osmanthus fragrans and the role of OfGGPPS13 in the formation of floral color and aroma
16
作者 Hanruo Qiu Qingyin Tian +4 位作者 Guimin Zeng Chenchen Xie Xiulian Yang Lianggui Wang Yuanzheng Yue 《Journal of Integrative Agriculture》 2026年第1期138-149,共12页
Osmanthus fragrans is most famous for its strong aroma,and different varieties have different degrees of fragrance and color.Fragrance and color are important factors affecting the ornamental quality of O.fragrans.Ter... Osmanthus fragrans is most famous for its strong aroma,and different varieties have different degrees of fragrance and color.Fragrance and color are important factors affecting the ornamental quality of O.fragrans.Terpenoids are important secondary metabolites in plants,with β-carotene(C40)being the major pigment substance and linalool(C10)being the key aromatic component in O.fragrans.The geranylgeranyl pyrophosphate synthase genes(GGPPSs)play important roles in secondary metabolism in plants.However,the functions of the GGPPS family in floral color and fragrance formation has rarely been reported in O.fragrans.In this study,24 Of GGPPS genes were identified and classified into two subfamilies.The Of GGPPSs showed tissue-specific expression and Of GGPPS13 had highest expression in flowers.The Of GGPPS13 protein was localized to chloroplasts.The transcriptome data of Of GGPPS13 was verified by q RT-PCR and the expression level in‘Wanyingui'with strong aroma was higher than that in‘Zhuangyuanhong'with deep color at different flower development stages.Transient overexpression of Of GGPPS13 in O.fragrans petals showed that Of GGPPS13 increased the β-carotene content,the main color substance of O.fragrans,but decreased the linalool content,the main volatile organic compound(VOC)in the floral aroma of O.fragrans.Of GGPPS13 was indicated as the critical gene related to terpenoid synthesis in the floral aroma and color formation in O.fragrans.Our findings provide gene resources on the GGPPS gene family for further revealing the molecular regulation mechanism of the floral color and aroma formation in O.fragrans. 展开更多
关键词 GGPPS gene family Osmanthus fragrans oral color and aroma formation functional characterization
在线阅读 下载PDF
Multi-modal retinal disease diagnosis based on fundus photography and OCT images
17
作者 Han Xu Ruichan Lv 《Journal of Innovative Optical Health Sciences》 2026年第2期69-88,共20页
Retinal diseases are a serious threat to human visual health and their early diagnosis is crucial.Currently,most of the retinal disease diagnostic algorithms are based on a single imaging modality of fundus color phot... Retinal diseases are a serious threat to human visual health and their early diagnosis is crucial.Currently,most of the retinal disease diagnostic algorithms are based on a single imaging modality of fundus color photography(FCP)or optical coherence tomography(OCT).These methods can only reflect retinal diseases to a certain extent,ignoring the speci ficity of modalities between different imaging modalities.In this research,a newmulti-scale feature fusion network(MSFF-Net)model for multi-modal retinal image diagnosis is proposed.The MSFF-Net model employs a dualbranch architecture design,enabling efficient learning and extraction of multi-modal feature information related to retinal diseases from CFP and OCT images.MSFF-Net improves disease diagnosis by combining multi-scale features of CFP and OCT images.When evaluated on challenging datasets,the model achieved an accuracy of 95.00%and an F1-score of 95.24%for retinal disease diagnosis.Even under low-quality dataset conditions,it maintained robust performance,with diagnostic accuracy and F1-scores of 71.50%and 71.73%,respectively.In addition,the MSFFNet model outperformed eight state-of-the-art single and multi-modal models in the comparison experiments.The proposed MSFF-Net model provides ophthalmologists with a more accurate and efficient diagnostic pathway that helps them detect and treat retinal diseases earlier. 展开更多
关键词 Fundus color photography(FCP) optical coherence tomography(OCT) multi-scale feature fusion disease diagnosis
原文传递
Planar graphs with maximum degree 8 and without intersecting chordal 4-cycles are 9-totally colorable 被引量:5
18
作者 CAI JianSheng WANG GuangHui YAN GuiYing 《Science China Mathematics》 SCIE 2012年第12期2601-2612,共12页
The minimum number of colors needed to properly color the vertices and edges of a graph G is called the total chromatic number of G and denoted by χ'' (G). It is shown that if a planar graph G has maximum deg... The minimum number of colors needed to properly color the vertices and edges of a graph G is called the total chromatic number of G and denoted by χ'' (G). It is shown that if a planar graph G has maximum degree Δ≥9, then χ'' (G) = Δ + 1. In this paper, we prove that if G is a planar graph with maximum degree 8 and without intersecting chordal 4-cycles, then χ ''(G) = 9. 展开更多
关键词 total coloring planar graph chordal 4-cycles TRIANGLES
原文传递
Planar graphs without 4,6,8-cycles are 3-colorable 被引量:1
19
作者 Wei-fan WANG Min CHEN 《Science China Mathematics》 SCIE 2007年第11期1552-1562,共11页
In this paper we prove that every planar graph without 4,6 and 8-cycles is 3-colorable.
关键词 PLANAR GRAPHS COLORING CYCLE
原文传递
A Totally(Δ+1)-colorable 1-planar Graph with Girth at Least Five 被引量:1
20
作者 Lin SUN Jian Liang WU Hua CAI 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2016年第11期1337-1349,共13页
A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, we prove that every 1-planar graph G with maximum degree △(G) 〉 12 and girth at least five... A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, we prove that every 1-planar graph G with maximum degree △(G) 〉 12 and girth at least five is totally (△(G)+1)-colorable. 展开更多
关键词 1-planar graph total coloring discharging method GIRTH
原文传递
上一页 1 2 173 下一页 到第
使用帮助 返回顶部