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- W4302567590 abstract "Given a non-decreasing sequence S = (s 1,s 2,. .. ,s k) of positive integers, an S-packing edge-coloring of a graph G is a partition of the edge set of G into k subsets {X 1 ,X 2,. .. ,X k } such that for each 1 $le$ i $le$ k, the distance between two distinct edges e, e ' $in$ X i is at least s i + 1. This paper studies S-packing edge-colorings of cubic graphs. Among other results, we prove that cubic graphs having a 2-factor are (1,1,1,3,3)-packing edge-colorable, (1,1,1,4,4,4,4,4)-packing edge-colorable and (1,1,2,2,2,2,2)-packing edge-colorable. We determine sharper results for cubic graphs of bounded oddness and 3-edge-colorable cubic graphs and we propose many open problems." @default.
- W4302567590 created "2022-10-06" @default.
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- W4302567590 date "2017-11-29" @default.
- W4302567590 modified "2023-10-14" @default.
- W4302567590 title "On S-packing edge-colorings of cubic graphs" @default.
- W4302567590 doi "https://doi.org/10.48550/arxiv.1711.10906" @default.
- W4302567590 hasPublicationYear "2017" @default.
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