Increasing paths in edge-ordered graphs: The hypercube and random graph

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Abstract

An edge-ordering of a graph G=(V,E) is a bijection ϕ:E→{1,2,…,|E|}. Given an edge-ordering, a sequence of edges P=e1,e2,…,ek is an increasing path if it is a path in GG which satisfies ϕ(ei)

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De Silva, J., Molla, T., Pfender, F., Retter, T., & Tait, M. (2016). Increasing paths in edge-ordered graphs: The hypercube and random graph. Electronic Journal of Combinatorics, 23(2). https://doi.org/10.37236/5036

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