Number of Cliques in Graphs with a Forbidden Subdivision
نویسندگان
چکیده
We prove that for all positive integers t, every nvertex graph with no Kt-subdivision has at most 2 n cliques. We also prove that asymptotically, such graphs contain at most 2n cliques, where o(1) tends to zero as t tends to infinity. This strongly answers a question of D. Wood asking if the number of cliques in n-vertex graphs with no Kt-minor is at most 2 n for some constant c.
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عنوان ژورنال:
- SIAM J. Discrete Math.
دوره 29 شماره
صفحات -
تاریخ انتشار 2015