Turán number of the odd‐ballooning of complete bipartite graphs
Xing Peng,
Mengjie Xia
Abstract:Given a graph , the Turán number is the maximum possible number of edges in an ‐vertex ‐free graph. The study of Turán number of graphs is a central topic in extremal graph theory. Although the celebrated Erdős‐Stone‐Simonovits theorem gives the asymptotic value of for nonbipartite , it is challenging in general to determine the exact value of for . The odd‐ballooning of is a graph such that each edge of is replaced by an odd cycle and all new vertices of odd cycles are distinct. Here the length of odd cy… Show more
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