Making a K4-free graph bipartite

نویسنده

  • Benny Sudakov
چکیده

We show that every K4-free graph G with n vertices can be made bipartite by deleting at most n/9 edges. Moreover, the only extremal graph which requires deletion of that many edges is a complete 3-partite graph with parts of size n/3. This proves an old conjecture of P. Erdős.

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تاریخ انتشار 2008