摘要
考虑了兰州指标的乘法型版本.通过引入一些严格增大或减小该指标的图变换,刻画了乘法型兰州指标关于树,单圈图和双圈图的极值和极图.
We consider a multiplicative version of Lanzhou index.By introducing some graph transformations that strictly increase or decrease this index,and we characterize the extremal graphs with respect to the multiplicative Lanzhou index over the following sets:trees,unicyclic and bicyclic graphs.
作者
崔青青
赵飚
CUI Qingqing;ZHAO Biao(School of Mathematics and System Sciences,Xinjiang University,Urumqi Xinjiang 830017,China)
出处
《新疆大学学报（自然科学版）（中英文）》
CAS
2023年第6期654-662,共9页
Journal of Xinjiang University(Natural Science Edition in Chinese and English)
基金
supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region of China“Research on graph theory problems of topological parameters based on graph matrix spectrum”(2021D01C069)
the National Natural Science Foundation of the People’s Republic of China“Research on spectral properties and related issue of graph operations”(12161085)。
关键词
乘法型兰州指标
树
单圈图
双圈图
multiplicative Lanzhou index
tree
unicyclic graphs
bicyclic graphs
