Steiner Wiener index of block graphs

被引:5
作者
Kovse, Matjaz [1 ]
Rasila, V. A. [2 ]
Vijayakumar, Ambat [2 ]
机构
[1] IIT Bhubaneswar, Sch Basic Sci, Bhubaneswar, Odisha, India
[2] Cochin Univ Sci & Technol, Dept Math, Kochi, India
关键词
Distance in graphs; Steiner distance; Wiener index; Steiner k-Wiener index; block graphs; poset of block graphs; 05C12; DISTANCE; TREES;
D O I
10.1016/j.akcej.2019.11.001
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let S be a set of vertices of a connected graph G. The Steiner distance of S is the minimum size of a connected subgraph of G containing all the vertices of S. The Steiner k-Wiener index is the sum of all Steiner distances on sets of k vertices of G. Different simple methods for calculating the Steiner k-Wiener index of block graphs are presented.
引用
收藏
页码:833 / 840
页数:8
相关论文
共 23 条
[21]   STRUCTURAL DETERMINATION OF PARAFFIN BOILING POINTS [J].
WIENER, H .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1947, 69 (01) :17-20
[22]   Steiner centers and Steiner medians of graphs [J].
Yeh, Hong-Gwa ;
Chiang, Chun-Ying ;
Peng, Sheng-Hueng .
DISCRETE MATHEMATICS, 2008, 308 (22) :5298-5307
[23]  
Zhang XD, 2008, MATCH-COMMUN MATH CO, V60, P623