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arXiv · 1205.3983

Relations Between Graphs

Jan Hubicka·Jürgen Jost·Yangjing Long·Peter F. Stadler·Ling Yang
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Abstract

Given two graphs G and H, we ask under which conditions there is a relation R that generates the edges of H given the structure of graph G. This construction can be seen as a form of multihomomorphism. It generalizes surjective homomorphisms of graphs and naturally leads to notions of R-retractions, R-cores, and R-cocores of graphs. Both R-cores and R-cocores of graphs are unique up to isomorphism and can be computed in polynomial time.

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Jan Hubicka, Jürgen Jost, Yangjing Long, Peter F. Stadler, Ling Yang. 2012-10-16. Relations Between Graphs. https://arxiv.org/abs/1205.3983

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