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On tricyclic graphs of a given diameter with minimal energy

โœ Scribed by Shuchao Li; Xuechao Li

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
234 KB
Volume
430
Category
Article
ISSN
0024-3795

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The energy of a graph G, denoted by E(G), is defined to be the sum of absolute values of all eigenvalues of the adjacency matrix of G. Let G(n, l, p) denote the set of all unicyclic graphs on n vertices with girth and pendent vertices being l ( 3) and p ( 1), respectively. More recently, one of the

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Let GB(n, d) be the set of bipartite graphs with order n and diam- eter d. This paper characterizes the extremal graph with the maximal spectral radius in GB(n, d). Furthermore, the maximal spectral radius is a decreasing function on d. At last, bipartite graphs with the second largest spectral radi