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math.CO2022
Reconstruction and Edge Reconstruction of Triangle-free Graphs
Alexander Clifton, Xiaonan Liu, Reem Mahmoud +1
The Reconstruction Conjecture due to Kelly and Ulam states that every graph with at least 3 vertices is uniquely determined by its multiset of subgraphs . Let $…
math.CO2022
Odd Covers of Graphs
Calum Buchanan, Alexander Clifton, Eric Culver +4
Given a finite simple graph , an odd cover of is a collection of complete bipartite graphs, or bicliques, in which each edge of appears in an odd number of bicliques and…