Asymptotic structure of graphs with the minimum number of triangles\ud

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Pikhurko, Oleg ; Razborov, Alexander (2016)
  • Publisher: Cambridge University Press
  • Related identifiers: doi: 10.1017/S0963548316000110
  • Subject: QA
    acm: MathematicsofComputing_DISCRETEMATHEMATICS

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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