Article ID Journal Published Year Pages File Type
4650891 Discrete Mathematics 2008 6 Pages PDF
Abstract

By means of an exhaustive computer search we have proved that the strongly regular graphs with parameters (v,k,λ,μ)=(105,32,4,12)(v,k,λ,μ)=(105,32,4,12), (120,42,8,18)(120,42,8,18) and (176,70,18,34)(176,70,18,34) are unique up to isomorphism. Each of these graphs occurs as an induced subgraph in the strongly regular McLaughlin graph. We have used an orderly backtracking algorithm with look-ahead and look-back strategies, applying constraints based on several combinatorial and algebraic properties of graphs with the given parameters.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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