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- W2078483670 abstract "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 open problems." @default.
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- W2078483670 date "2010-04-01" @default.
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- W2078483670 title "The spectral radius of graphs without paths and cycles of specified length" @default.
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- W2078483670 doi "https://doi.org/10.1016/j.laa.2009.05.023" @default.
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