Design spectra for 6-regular graphs with 12 vertices

preprint2024arXivOpen access

Abstract

The design spectrum of a simple graph GG is the set of positive integers nn such that there exists an edgewise decomposition of the complete graph KnK_n into n(n−1)/(2∣E(G)∣)n(n - 1)/(2 |E(G)|) copies of GG. We compute the design spectra for 7788 6-regular graphs with 12 vertices.

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