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一类单圈图的最小sum-connectivity能量
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作者 赵可 朱芳 赵璇 《重庆理工大学学报(自然科学)》 北大核心 2025年第9期240-248,共9页
定义C_(g)∪S_(t)为将一个圈C_(g)中的某个顶点与一个星图S_(t)中的某个顶点相连后构造出的具有n个顶点的单圈图。图G的sum-connectivity矩阵S(G)=(s_(ij))_(n×n)是一n阶矩阵,其中,若顶点v_(i)与顶点v_(j)邻接,则s_(ij)=1/√d_(G)(... 定义C_(g)∪S_(t)为将一个圈C_(g)中的某个顶点与一个星图S_(t)中的某个顶点相连后构造出的具有n个顶点的单圈图。图G的sum-connectivity矩阵S(G)=(s_(ij))_(n×n)是一n阶矩阵,其中,若顶点v_(i)与顶点v_(j)邻接,则s_(ij)=1/√d_(G)(v_(i))+d_(G)(v_(j)),若v_(i)与点v_(j)不邻接,或i=j,则s_(ij)=0。图G的sum-connectivity能量定义为sum-connectivity矩阵特征值的绝对值之和。考虑了该类单圈图中的sum-connectivity能量的极小值问题。根据sum-connectivity能量的定义及其性质得到4种图变换,同时得到该类单圈图sum-connectivity能量的变化规律,最后得到S_(n)^(3)在该类单圈图中具有最小的sum-connectivity能量,其中S_(n)^(3)表示圈C_(3)上某个顶点连接n-3条悬挂边的单圈图。 展开更多
关键词 单圈图 特征多项式 特征值 sum-connectivity能量
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图的Sum-connectivity指标与其无符号拉普拉斯谱半径
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作者 王月卿 林雅津 《青海师范大学学报(自然科学版)》 2023年第4期63-67,共5页
设G=(V,E)为简单连通图.图G的Sum-connectivity指标被定义为χ(G)=Σuv∈E(G)2/√d_(u)+d_(v),其中d_(u)表示顶点u的度.用q(G)表示图G的无符号拉普拉斯谱半径.本文研究了χ(G)与q(G)之间的关系,证明了对于所有顶点数n≥3的简单连通图G,... 设G=(V,E)为简单连通图.图G的Sum-connectivity指标被定义为χ(G)=Σuv∈E(G)2/√d_(u)+d_(v),其中d_(u)表示顶点u的度.用q(G)表示图G的无符号拉普拉斯谱半径.本文研究了χ(G)与q(G)之间的关系,证明了对于所有顶点数n≥3的简单连通图G,都有q(G)/χ^(2)(G)≤n^(2)/(n-1)^(2)等式成立当且仅当G■S_(n). 展开更多
关键词 sum-connectivity指标 无符号拉普拉斯矩阵 特征值
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Sum-connectivity index of a graph
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作者 Kinkar Ch. DAS Sumana DAS Bo ZHOU 《Frontiers of Mathematics in China》 SCIE CSCD 2016年第1期47-54,共8页
Let G be a simple connected graph, and let di be the degree of its i-th vertex. The sure,connectivity index of the graph G is defined as χ(G) =∑vivj∈E(G)(di+dj)-1/2.We discuss the effect onχ(G)of insertin... Let G be a simple connected graph, and let di be the degree of its i-th vertex. The sure,connectivity index of the graph G is defined as χ(G) =∑vivj∈E(G)(di+dj)-1/2.We discuss the effect onχ(G)of inserting an edge into a graph. Moreover, we obtain the relations between sum-connectivity index and Randid index. 展开更多
关键词 GRAPH Randid index sum-connectivity index minimum degree
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The Edge Version of Degree Based Topological Indices of p NA<sub>q</sub><sup style="margin-left:-6px;">p</sup>Nanotube
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作者 Xiujun Zhang Wasim Sajjad +1 位作者 Abdul Qudair Baig Mohammad Reza Farahani 《Applied Mathematics》 2017年第10期1445-1453,共9页
Chemical graph theory is an important branch of mathematical chemistry which has wide range applications. In chemical graph theory a molecular graph can be recognized by a numerical quantity which is called a Topologi... Chemical graph theory is an important branch of mathematical chemistry which has wide range applications. In chemical graph theory a molecular graph can be recognized by a numerical quantity which is called a Topological index. Topological indices have some major classes but among these classes degree based topological indices have prominent role in chemical graph theory. In this paper we compute the edge version of some important degree based topological indices like Augmented Zagreb Index, Hyper-Zagreb Index, Harmonic Index and Sum-Connectivity Index of NAqp Nanotube. 展开更多
关键词 Augmented Zagreb INDEX Hyper-Zagreb INDEX Harmonic INDEX sum-connectivity INDEX NAqp NANOTUBE
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