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The Size of a Graph Without Topological Complete Subgraphs

The Size of a Graph Without Topological Complete Subgraphs

In this note we show a new upperbound for the function ex(n;TKp), i.e., the maximum number of edges of a graph of order n not containing a subgraph homeomorphic to the complete graph of order p. Further, for ${\left \lceil \frac{2n+5}{3}\right \rceil}\leq p < n$ we provide exact values for …