Article ID Journal Published Year Pages File Type
469749 Computers & Mathematics with Applications 2008 8 Pages PDF
Abstract

The Hosoya index of a graph is defined as the total number of its matchings. In this paper, we obtain that the largest Hosoya index of (n,n+1)(n,n+1)-graphs is f(n+1)+f(n−1)+2f(n−3)f(n+1)+f(n−1)+2f(n−3), where f(n)f(n) is the nnth Fibonacci number, and we characterize the extremal graphs.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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