On a Biggs-Smith self-dual (1024)-configuration

نویسنده

  • Italo J. Dejter
چکیده

A construction based on the Biggs-Smith graph is shown to produce an edge-disjoint union of 102 copies of K4 forming a {K4, L(Q3)}K3 -ultrahomogeneous graph dressed as the non-line-graphical Menger graph of a self-dual (1024)-configuration. This stands in contrast to the selfdual (424)-configuration of [8], whose Menger graph is a non-line-graphical {K4, K2,2,2}K2 -ultrahomogeneous graph.

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تاریخ انتشار 2010