Large Topological Cliques in Graphs Without a 4-Cycle
نویسندگان
چکیده
Mader asked whether every C4-free graph G contains a subdivision of a complete graph whose order is at least linear in the average degree of G. We show that there is a subdivision of a complete graph whose order is almost linear. More generally, we prove that every Ks,t-free graph of average degree r contains a subdivision of a complete graph of order r 1 2 + 1 2(s−1).
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عنوان ژورنال:
- Combinatorics, Probability & Computing
دوره 13 شماره
صفحات -
تاریخ انتشار 2004