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Spectral Radius and Degree Sequence of a Graph

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 نشر من قبل Chia-an Liu
 تاريخ النشر 2012
  مجال البحث
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Let G be a simple connected graph of order n with degree sequence d_1, d_2, ..., d_n in non-increasing order. The spectral radius rho(G) of G is the largest eigenvalue of its adjacency matrix. For each positive integer L at most n, we give a sharp upper bound for rho(G) by a function of d_1, d_2, ..., d_L, which generalizes a series of previous results.



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