Number of Cliques in Graphs with a Forbidden Subdivision

We prove that for all positive integers t, every n-vertex graph with no K[subscript t]-subdivision has at most 2[superscript 50t]n cliques. We also prove that asymptotically, such graphs contain at most 2[superscript (5+o(1))t]n cliques, where o(1) tends to zero as t tends to infinity. This strongly...

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Bibliographic Details
Main Authors: Lee, Choongbum, Oum, Sang-il
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2016
Online Access:http://hdl.handle.net/1721.1/101894
https://orcid.org/0000-0002-5798-3509