Bipartite Subgraphs
نویسنده
چکیده
It is shown that there exists a positive c so that for any large integer m, any graph with 2m 2 edges contains a bipartite subgraph with at least m 2 + m/2 + c √ m edges. This is tight up to the constant c and settles a problem of Erd˝ os. It is also proved that any triangle-free graph with e > 1 edges contains a bipartite subgraph with at least e 2 + c e 4/5 edges for some absolute positive constant c. This is tight up to the constant c .
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ورودعنوان ژورنال:
- Combinatorica
دوره 16 شماره
صفحات -
تاریخ انتشار 1996