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math.CO2012★ 14 cited
Minimum Number of k-Cliques in Graphs with Bounded Independence Number
Oleg Pikhurko, Emil R. Vaughan
Erdos asked in 1962 about the value of f(n,k,l), the minimum number of k-cliques in a graph of order n and independence number less than l. The case (k,l)=(3,3) was solved by Lorde…
math.CO2012
Turán H-densities for 3-graphs
Victor Falgas-Ravry, Emil R. Vaughan
Given an -graph on vertices, and a family of forbidden subgraphs, we define $\ex_{H}(n, \mathcal{F})$ to be the maximum number of induced copies of in…