Numerical Measures for Two-Graphs

Details Numerical Measures for Two-Graphs Numerical Measures for Two-Graphs

2008-10-17

arxiv.org/abs/0810.3189v1

Mathematics

Combinatorics

15 pages, accepted by the Rocky Mountain Journal of Mathematics

Scientific paper

We study characteristics which might distinguish two-graphs by introducing different numerical measures on the collection of graphs on $n$ vertices. Two conjectures are stated, one using these numerical measures and the other using the deck of a graph, which suggest that there is a finite set of conditions differentiating two-graphs. We verify that, among the four non-trivial non-isomorphic regular two-graphs on 26 vertices, both conjectures hold.

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