Amalgamations of almost regular edge-colourings of simple graphs

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On Almost-Regular Edge Colourings of Hypergraphs

We prove that if H = (V (H), E(H)) is a hypergraph, γ is an edge colouring of H, and S ⊆ V (H) such that any permutation of S is an automorphism of H, then there exists a permutation π of E(H) such that |π(E)| = |E| and π(E)\S = E \S for each E ∈ E(H), and such that the edge colouring γ′ of H given by γ′(E) = γ(π−1(E)) for each E ∈ E(H) is almost regular on S. The proof is short and elementary....

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 1987

ISSN: 0095-8956

DOI: 10.1016/0095-8956(87)90008-6