On two conjectures to generalize Vizing's Theorem
AbstractVisizing's Theorem states that for a single graph G, the chromatic index q(G) is equal to the maximum degree Δ(G) or to Δ(G)+1. To extend this theorem to some classes of hypergraphs, we suggest two conjectures, non-comparable, but, in some sense, dual, which are discussed in the present paper.
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