VERTEX-WEIGHTED WIENER POLYNOMIALS OF SUBDIVISION-RELATED GRAPHS

被引:2
作者
Azari, Mahdieh [1 ]
Iranmanesh, Ali [2 ]
Doslic, Tomislav [3 ]
机构
[1] Islamic Azad Univ, Kazerun Branch, Dept Math, Kazerun, Iran
[2] Tarbiat Modares Univ, Fac Math Sci, Dept Pure Math, Tehran, Iran
[3] Univ Zagreb, Fac Civil Engn, Zagreb 10000, Croatia
关键词
vertex-weighted Wiener numbers; vertex-weighted Wiener polynomials; subdivision graphs;
D O I
10.7494/OpMath.2016.36.1.5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Singly and doubly vertex-weighted Wiener polynomials are generalizations of both vertex-weighted Wiener numbers and the ordinary Wiener polynomial. In this paper, we show how the vertex-weighted Wiener polynomials of a graph change with subdivision operators, and apply our results to obtain vertex-weighted Wiener numbers.
引用
收藏
页码:5 / 23
页数:19
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