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Wiener Polarity Index of Cycle-Block Graphs
Author(s) -
Zhen Jia,
Fuyi Wei,
Yang Wu
Publication year - 2014
Publication title -
chinese journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2314-8071
DOI - 10.1155/2014/476705
Subject(s) - algorithm , artificial intelligence , computer science
The Wiener polarity index WP of a graph G is the number of unordered pairs of vertices u,v of G such that the distance dG(u, v) between u and v is 3. Cycle-block graph is a connected graph in which every block is a cycle. In this paper, we determine the maximum and minimum Wiener polarity index of cycle-block graphs and describe their extremal graphs; the extremal graphs of 4-uniform cactus with respect to Wiener polarity index are also discussed

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