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- W2140029748 abstract "By a result of Holyer, unless P = NP, there does not exist a polynomial-time approximation algorithm to edge color a multigraph that always uses fewer than 43 χ′ colors, where χ′ is the optimal number of colors. This makes it appear that finding provably good edge colorings is extremely difficult. However, in this paper we present an algorithm to find an edge coloring of a multigraph that never uses more than ⌊98χ′ + 34⌋ colors. In addition, if χ′ ≥ ⌊98Δ + 34⌋ then the algorith optimally colors the graph in polynomial time. Furthermore, this algorithm never uses more than (43)χ′ colors and runs in O(|E|(|V| + Δ)) time, where E is the set of edges, and V is the set of vertices." @default.
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- W2140029748 date "1986-03-01" @default.
- W2140029748 modified "2023-09-28" @default.
- W2140029748 title "A better than “best possible” algorithm to edge color multigraphs" @default.
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- W2140029748 doi "https://doi.org/10.1016/0196-6774(86)90039-8" @default.
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