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- W1965260688 abstract "This paper presents a parallel algorithm for the following problem: given a simple graph G(V,E), color its edges with max2i − 1 ∗ (⌊Δ2i − 1⌋ + 2),2i − 1 ∗ (⌊Δ2i − 1⌋ + 3) colors, 0 ⩽ i ⩽ ⌊logΔ⌋ − 1 such that all edges sharing a common vertex have different colors, where Δ ( = Δ(G)) is the maximum vertex degree, and ¦V¦ = n, ¦E¦ = m. This algorithm runs in O((Δ2i − 1)3.5 log3 Δ log n + (Δ2i − 1)3 log4 n) time using O(maxn2,n(Δ2i − 1)3) processors. Particularly, it only requires O(Δ1.75 log3 Δ log n + Δ1.5 log4 n) time and O(maxn2,nΔ1.5) processors when we use Δ + √Δ colors to color G's edges. If we use 2.5Δ colors, it only requires O(log n log Δ) time and O(m) processors, based on a CREW PRAM. Unless otherwise specified, our computational model is a COMMON CRCW PRAM in which concurrent read and concurrent write are allowed. In addition, only writing the same value into a memory cell is successful when there exists write conflict." @default.
- W1965260688 created "2016-06-24" @default.
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- W1965260688 date "1995-09-01" @default.
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- W1965260688 title "Fast parallel algorithms for the approximate edge-coloring problem" @default.
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- W1965260688 doi "https://doi.org/10.1016/0020-0190(95)00122-s" @default.
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