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math.CO2019
Long path and cycle decompositions of even hypercubes
Maria Axenovich, David Offner, Casey Tompkins
We consider edge decompositions of the -dimensional hypercube into isomorphic copies of a given graph . While a number of results are known about decomposing into…
math.CO2019
Large homogeneous subgraphs in bipartite graphs with forbidden induced subgraphs
Maria Axenovich, Casey Tompkins, Lea Weber
For a bipartite graph G, let h(G) be the largest t such that either G or the bipartite complement of G contain K_{t,t}. For a class F of graphs, let h(F)= min {h(G): G\in F}. We sa…