Eigenvalues and degree deviation in graphs |
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Authors: | Vladimir Nikiforov |
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Institution: | Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA |
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Abstract: | Let G be a graph with n vertices and m edges and let μ(G) = μ1(G) ? ? ? μn(G) be the eigenvalues of its adjacency matrix. Set s(G)=∑u∈V(G)∣d(u)-2m/n∣. We prove that |
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Keywords: | 15A42 05C50 |
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