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Results tagged with bipartite-graphs
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user 97131
A bipartite graph is a graph whose vertices can be divided into two disjoint sets such that no two vertices in the same set are adjacent.
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Maximum number of edges in bipartite graph without cycles of length 4
I find out that this problem is a special case of Zarankiewicz problem and it was solved by István Reiman in 1958 (thanks to Oliver Krüger for correction). The answer is $ex(n,n,C_4)\sim n^{3/2}$.
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Maximum number of edges in bipartite graph without cycles of length 4
Let $ex(n,H)$ denote the maximum number of edges of a graph on $n$ vertices not containing a copy of $H$. Let $ex(n,m,H)$ denote the maximum number of edges of a bipartite graph with parts' sizes $m$ …
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