(广义)Mycielskian图及其补图的广义Zagreb指标  

General Zagreb Index of(Generalized)Mycielskian Graphs and its Complement Graphs

作　　者：薛娇 边红[1] 于海征[2] XUE Jiao;BIAN Hong;YU Hai-zheng(School of Mathematical Sciences,Xinjiang Normal University,Urumqi,Xinjiang,830017,China;Department of Mathematics,Xinjiang University,Urumqi,Xinjiang,830046,China)

机构地区：[1]新疆师范大学数学科学学院,新疆乌鲁木齐830017 [2]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《新疆师范大学学报（自然科学版）》2020年第1期34-38,共5页Journal of Xinjiang Normal University(Natural Sciences Edition)

基　　金：国家自然科学基金项目(11761070,61662079);新疆师范大学“十三五”校级重点学科数学招标课题(17SDKD1106)等资助。

摘　　要：令G=(V(G),E(G))是一个简单图。图G的广义Zagreb指标定义为:M{r,s}(G)=∑e=uv∈E(G)(du^rdv^s+du^sdv^r),■r,s∈N.广义Zagreb指标主要用于化学分子的设计和复杂性等方面的研究,它可以定量地描述化学分子结构,反映化学分子结构与性能之间的关系。文章给出(广义)Mycielskian图及其补图的广义Zagreb指标的明确结果。Let G be a simple graph.The General Zagreb index of Gis defined as M{r,s}(G)=∑e=uv∈E(G)(du^rdv^s+du^sdv^r),■r,s∈N.The Zagreb indices are mainly used molecule design,molecule complexity and so on.They describe the molecule skeleton branch,and concerns with the molecular energy.In this paper,we present the exactly formulae of General Zagreb indices of(generalized)Mycielskian graphs and its complement graphs.

关 键 词：广义Zagreb指标 Mycielskian图 广义Mycielskian图 

分 类 号：O157.5[理学—数学]