The Number of Large Graphs with a Positive Density of Triangles

Details The Number of Large Graphs with a Positive Density of Triangles The Number of Large Graphs with a Positive Density of Triangles

2002-03-07

arxiv.org/abs/math-ph/0203009v1

Physics

Mathematical Physics

17 pages, 1 figure

Scientific paper

We give upper and lower bounds on the number of graphs of fixed degree which
have a positive density of triangles. In particular, we show that there are
very few such graphs, when compared to the number of graphs without this
restriction. We also show that in this case the triangles seem to cluster even
at low density.

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