منابع مشابه
Graphs with Least Eigenvalue −2 Attaining a Convex Quadratic Upper Bound for the Stability Number
AMS Mathematics Subject Classification (2000): 05C50
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Let G be a simple connected graph with V (G) = {v1, v2, . . . , vn} and girth at least 5. Let be the maximum degree of G. In this paper, we present a new sharp upper bound for the spectral radius of G as follows: ρ(G) −1 + √ 4n+ 4 − 3 2 . Moreover, equality holds if and only if G∼=C5. © 2005 Elsevier Inc. All rights reserved. AMS classification: 05C50; 15A18
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1989
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1989-0943796-8