Triangle-Free Subgraphs of Random Graphs
نویسندگان
چکیده
The Andrásfai–Erdős–Sós Theorem [2] states that all triangle-free graphs on n vertices with minimum degree strictly greater than 2n/5 are bipartite. Thomassen [11] proved that when the minimum degree condition is relaxed to ( 3 + ε)n, the result is still guaranteed to be rε-partite, where rε does not depend on n. We prove best possible random graph analogues of these theorems.
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ورودعنوان ژورنال:
- Combinatorics, Probability & Computing
دوره 27 شماره
صفحات -
تاریخ انتشار 2015