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The Cartographer
Simple and Asymptotically Optimal Online Bipartite Edge Coloring
November 08, 2023 · Declared Dead · 🏛 SIAM Symposium on Simplicity in Algorithms
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Authors
Joakim Blikstad, Ola Svensson, Radu Vintan, David Wajc
arXiv ID
2311.04574
Category
cs.DS: Data Structures & Algorithms
Citations
4
Venue
SIAM Symposium on Simplicity in Algorithms
Last Checked
4 months ago
Abstract
We provide a simple online $Δ(1+o(1))$-edge-coloring algorithm for bipartite graphs of maximum degree $Δ=ω(\log n)$ under adversarial vertex arrivals on one side of the graph. Our algorithm slightly improves the result of (Cohen, Peng and Wajc, FOCS19), which was the first, and currently only, to obtain an asymptotically optimal $Δ(1+o(1))$ guarantee for an adversarial arrival model. More importantly, our algorithm provides a new, simpler approach for tackling online edge coloring.
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