The spectral radius of graphs without paths and cycles of specified length
نویسنده
چکیده
Let G be a graph with n vertices and μ (G) be the largest eigenvalue of the adjacency matrix of G. We study how large μ (G) can be when G does not contain cycles and paths of specified order. In particular, we determine the maximum spectral radius of graphs without paths of given length, and give tight bounds on the spectral radius of graphs without given even cycles. We also raise a number of natural open problems.
منابع مشابه
The spectral radius of graphs without paths and cycles of specied length
Let G be a graph with n vertices and (G) be the largest eigenvalue of the adjacency matrix of G: We study how large (G) can be when G does not contain cycles and paths of speci ed order. In particular, we determine the maximum spectral radius of graphs without paths of given length, and give tight bounds on the spectral radius of graphs without given even cycles. We also raise a number of natur...
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تاریخ انتشار 2009