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• W4214882646 abstract "We give a fully dynamic (Las-Vegas style) algorithm with constant expected amortized time per update that maintains a proper (Δ +1)-vertex coloring of a graph with maximum degree at most Δ. This improves upon the previous O (log Δ)-time algorithm by Bhattacharya et al. (SODA 2018). Our algorithm uses an approach based on assigning random ranks to vertices and does not need to maintain a hierarchical graph decomposition. We show that our result does not only have optimal running time but is also optimal in the sense that already deciding whether a Δ-coloring exists in a dynamically changing graph with maximum degree at most Δ takes Ω (log n ) time per operation." @default.
• W4214882646 created "2022-03-05" @default.
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• W4214882646 date "2022-03-04" @default.
• W4214882646 modified "2023-10-07" @default.
• W4214882646 title "Constant-time Dynamic (Δ +1)-Coloring" @default.
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• W4214882646 doi "https://doi.org/10.1145/3501403" @default.
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