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Arboricity-Dependent Algorithms for Edge Coloring
Scandinavian Workshop on Algorithm Theory, 2023The problem of edge coloring has been extensively studied over the years. Recently, this problem has received significant attention in the dynamic setting, where we are given a dynamic graph evolving via a sequence of edge insertions and deletions and ...
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Nibbling at Long Cycles: Dynamic (and Static) Edge Coloring in Optimal Time
arXiv.org, 2023We consider the problem of maintaining a $(1+\epsilon)\Delta$-edge coloring in a dynamic graph $G$ with $n$ nodes and maximum degree at most $\Delta$.
Sayan Bhattacharya +3 more
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Streaming Edge Coloring with Subquadratic Palette Size
International Colloquium on Automata, Languages and Programming, 2023In this paper, we study the problem of computing an edge-coloring in the (one-pass) W-streaming model. In this setting, the edges of an $n$-node graph arrive in an arbitrary order to a machine with a relatively small space, and the goal is to design an ...
S. Chechik, Doron Mukhtar, Tianyi Zhang
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