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Computer Aided Investigation of Total Graph Coherent Configurations for Two Infinite Families of Classical Strongly Regular Graphs

In: Algorithmic Algebraic Combinatorics and Gröbner Bases

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  • Matan Ziv-Av

    (Ben-Gurion University of the Negev, Department of Mathematics)

Abstract

Summary In this chapter we introduce the notion of total graph coherent configuration, and use computer tools to investigate it for two classes of strongly regular graphs – the triangular graphs T(n) and the lattice square graphs L 2(n). For T(n), we show that its total graph coherent configuration has exceptional mergings only in the cases n=5 and n=7.

Suggested Citation

  • Matan Ziv-Av, 2009. "Computer Aided Investigation of Total Graph Coherent Configurations for Two Infinite Families of Classical Strongly Regular Graphs," Springer Books, in: Mikhail Klin & Gareth A. Jones & Aleksandar Jurišić & Mikhail Muzychuk & Ilia Ponomarenko (ed.), Algorithmic Algebraic Combinatorics and Gröbner Bases, pages 297-311, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-01960-9_12
    DOI: 10.1007/978-3-642-01960-9_12
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