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arxiv: 1204.2846 · v2 · pith:URS5ZQMXnew · submitted 2012-04-12 · 🧮 math.CO

Asymptotic Structure of Graphs with the Minimum Number of Triangles

classification 🧮 math.CO
keywords asymptoticgraphsnumberstructuretrianglesachievedalgebracharacterizing
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We consider the problem of minimizing the number of triangles in a graph of given order and size and describe the asymptotic structure of extremal graphs. This is achieved by characterizing the set of flag algebra homomorphisms that minimize the triangle density.

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