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- W2094198882 abstract "The adjacent vertex-distinguishing chromatic index χ a ′ ( G ) of a graph G is the smallest integer k for which G admits a proper edge k -coloring such that any pair of adjacent vertices are incident to distinct sets of colors. In this paper, we prove that if G is a K 4 -minor free graph, without isolated edges, and with maximum degree Δ ≥ 4 , then Δ ≤ χ a ′ ( G ) ≤ Δ + 1 ; when Δ ≥ 5 , χ a ′ ( G ) = Δ if and only if G contains no adjacent vertices of maximum degree." @default.
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- W2094198882 date "2011-12-01" @default.
- W2094198882 modified "2023-09-27" @default.
- W2094198882 title "Adjacent vertex-distinguishing edge colorings of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:math>-minor free graphs" @default.
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- W2094198882 doi "https://doi.org/10.1016/j.aml.2011.05.038" @default.
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