Walks and the spectral radius of graphs |
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Authors: | Vladimir Nikiforov |
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Affiliation: | Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA |
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Abstract: | ![]() Given a graph G, write μ(G) for the largest eigenvalue of its adjacency matrix, ω(G) for its clique number, and wk(G) for the number of its k-walks. We prove that the inequalities |
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Keywords: | 15A42 |
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