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arXiv · 1610.02446

Densities of 3-vertex graphs

Roman Glebov·Andrzej Grzesik·Ping Hu·Tamas Hubai·Daniel Kral·Jan Volec
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Abstract

Let d_i(G) be the density of the 3-vertex i-edge graph in a graph G, i.e., the probability that three random vertices induce a subgraph with i edges. Let S be the set of all quadruples (d_0,d_1,d_2,d_3) that are arbitrary close to 3-vertex graph densities in arbitrary large graphs. Huang, Linial, Naves, Peled and Sudakov have recently determined the projection of the set S to the (d_0,d_3) plane. We determine the projection of the set S to all the remaining planes.

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Roman Glebov, Andrzej Grzesik, Ping Hu, Tamas Hubai, Daniel Kral, Jan Volec. 2017-04-11. Densities of 3-vertex graphs. https://arxiv.org/abs/1610.02446

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