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- W2058532074 abstract "Two n-edge colorings of a graph are edge-Kempe equivalent if one can be obtained from the other by a series of edge-Kempe switches. In this work we show every planar bipartite cubic graph has exactly one edge-Kempe equivalence class, when 3=χ′(G) colors are used. In contrast, we also exhibit infinite families of nonplanar bipartite cubic (and thus 3-edge colorable) graphs with a range of numbers of edge-Kempe equivalence classes when using 3 colors. These results address a question raised by Mohar." @default.
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- W2058532074 date "2014-06-01" @default.
- W2058532074 modified "2023-09-25" @default.
- W2058532074 title "Counting edge-Kempe-equivalence classes for 3-edge-colored cubic graphs" @default.
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- W2058532074 doi "https://doi.org/10.1016/j.disc.2014.02.014" @default.
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