四角链的莫斯塔尔指数研究  

Study on Mostar Index of Quadrilateral Chains

作　　者：高新宇 贾天宝 王广富 GAO Xin-yu;JIA Tian-bao;WANG Guang-fu(School of Science,East China Jiaotong University,Nanchang 330013,China;School of Mathematics and Information Sciences,Yantai University,Yantai 264005,China)

机构地区：[1]华东交通大学理学院,江西南昌330013 [2]烟台大学数学与信息科学学院,山东烟台264005

出　　处：《数学的实践与认识》2025年第3期231-240,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11861032,11961026);山东省自然科学基金(ZR2024MA073)。

摘　　要：主要研究含有q个四边形的四角链的莫斯塔尔指数,并刻画其极值结构.对两类特殊四角链的莫斯塔尔指数进行了计算,对给定四边形数量的四角链进行扭结变换,通过扭结变换将四角链中锯齿段或终端段变为非锯齿段,四角链的莫斯塔尔指数会增大,并且扭结次数越多,莫斯塔尔指数越大.由此我们刻画出了含有q个四边形的四角链为直链时莫斯塔尔指数有极小值,为螺旋四角链时有极大值。In this paper,we study the Mostar index of a quadrilateral chain containing q quadrangles and characterise its extremal structure.The Mostar index of two special types of quadrangular chains is calculated.By performing kink transformations to change the zigzag segments or terminal segments into non-zigzag segments,the Mostar index of the quadrilateral chain increases,and the more kinks there are,the greater the Mostar index.From this we sketch that the quadrilateral chain with q quadrangles has a very small value of Mostar index when it is a straight chain and a very large value when it is a spiral quadrilateral chain.

关 键 词：莫斯塔尔指数 四角链 扭结变换 极值图 

分 类 号：O157.5[理学—数学]