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Improved bounds on the extremal function of hypergraphs
[article]
2018
arXiv
pre-print
A fundamental problem in pattern avoidance is describing the asymptotic behavior of the extremal function and its generalizations. We prove an equivalence between the asymptotics of the graph extremal function for a class of bipartite graphs and the asymptotics of the matrix extremal function. We use the equivalence to prove several new bounds on the extremal functions of graphs. We develop a new method to bound the extremal function of hypergraphs in terms of the extremal function of their
arXiv:1807.02411v1
fatcat:igfsh4pzg5g2zj27hvwvmqgx2u