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- W2023082944 abstract "Acyclic coloring problem is a specialized problem that arises in the efficient computation of Hessians. A proper edge coloring of a graph G is called acyclic if there is no 2 -colored cycle in G . The acyclic edge chromatic number χ a ′ ( G ) of G is the least number of colors in an acyclic edge coloring of G . Alon et al. conjectured that χ a ′ ( G ) ≤ Δ ( G ) + 2 . In this paper, we consider the sufficient conditions for the planar graphs satisfying χ a ′ ( G ) ≤ Δ ( G ) + 1 and χ a ′ ( G ) = Δ ( G ) ." @default.
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- W2023082944 date "2009-11-01" @default.
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- W2023082944 title "Acyclic edge coloring of planar graphs with large girth" @default.
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- W2023082944 doi "https://doi.org/10.1016/j.tcs.2009.08.015" @default.
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