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Vietnam Journal of Mathematics 35:2(2007) 163-168 |
Sharp Upper Bounds on the Spectral Radius of Graph |
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Lihua Feng |
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Abstract. In this paper, we present some new sharp upper bounds on the adjacency spectral radius of a graph in terms of th degrees and average 2-degrees of vertices. We also give two examples to show that sometimes our results are better. |
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2000 Mathematics Subject Classification: 05C50. |
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Keywords: Adjacency matrix; $Q$-matrix; Spectral radius. |
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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |