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Bounds on Separated Pairs of Subgraphs, Eigenvalues and Related Polynomials

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Author Info
Dam, E.R. van (Tilburg University, Faculty of Economics and Business Administration)

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Abstract

We give a bound on the sizes of two sets of vertices at a given minimum distance (a separated pair of subgraphs) in a graph in terms of polynomials and the spectrum of the graph. We find properties of the polynomial optimizing the bound. Explicit bounds on the number of vertices at maximal distance and distance two from a given vertex, and on the size of two equally large sets at maximal distance are given, and we find graphs for which the bounds are tight.

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Publisher Info
Paper provided by Tilburg University, Faculty of Economics and Business Administration in its series Research Memorandum with number 1995.

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Date of creation: 1995
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Handle: RePEc:dgr:kubrem:1995

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  1. Dam, E.R. van & Haemers, W.H., 1995. "Graphs with Constant u and u," Research Memorandum 688, Tilburg University, Faculty of Economics and Business Administration. [Downloadable!]
  2. Dam, E.R. van & Haemers, W.H., 1995. "A Characterization of Distance-Regular Graphs with Diameter Three," Research Memorandum 695, Tilburg University, Faculty of Economics and Business Administration. [Downloadable!]
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This page was last updated on 2010-1-2.

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