The Spectral Radius of Subgraphs of Regular Graphs
نویسنده
چکیده
Let μ (G) and μmin (G) be the largest and smallest eigenvalues of the adjacency matrix of a graph G. Our main results are: (i) Let G be a regular graph of order n and diameter D. If H is a proper subgraph of G, then μ (G) − μ (H) > 1 nD . (ii) If G is a connected regular nonbipartite graph of order n and diameter D, then μ (G) + μmin (G) > 1 nD .
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 14 شماره
صفحات -
تاریخ انتشار 2007