Spectral graph theory
著者
書誌事項
Spectral graph theory
（Regional conference series in mathematics, no. 92）
Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, c1997
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Spectral graph theory / Fan R.K. Chung
BA54465056
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Spectral graph theory / Fan R.K. Chung
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注記
"CBMS Conference on Recent Advances in Spectral Graph Theory held at California State University at Fresno, June 6-10, 1994"--T.p. verso
Includes bibliographical references (p. 195-203) and index
内容説明・目次
内容説明
Beautifully written and elegantly presented, this book is based on 10 lectures given at the CBMS workshop on spectral graph theory in June 1994 at Fresno State University. Chung's well-written exposition can be likened to a conversation with a good teacher - one who not only gives you the facts, but tells you what is really going on, why it is worth doing, and how it is related to familiar ideas in other areas. The monograph is accessible to the nonexpert who is interested in reading about this evolving area of mathematics.
目次
Eigenvalues and the Laplacian of a graph Isoperimetric problems Diameters and eigenvalues Paths, flows, and routing Eigenvalues and quasi-randomness Expanders and explicit constructions Eigenvalues of symmetrical graphs Eigenvalues of subgraphs with boundary conditions Harnack inequalities Heat kernels Sobolev inequalities Advanced techniques for random walks on graphs Bibliography Index.
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