List 2-distance (Δ + 1)-coloring of planar graphs with given girth |
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Authors: | O V Borodin A O Ivanova T K Neustroeva |
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Institution: | (1) Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia;(2) Yakutsk State University, ul. Kulakovskogo 48, Yakutsk, 677000, Russia |
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Abstract: | Some sufficient conditions (in terms of the girth and maximum degree) are given for the list 2-distance chromatic number of a planar graph with maximum degree Δ to be equal to Δ + 1. |
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