Dynamic Maximal Independent Set

June 23, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Morteza Monemizadeh arXiv ID 1906.09595 Category cs.DS: Data Structures & Algorithms Citations 3 Venue arXiv.org Last Checked 4 months ago
Abstract
Given a stream $\mathcal{S}$ of insertions and deletions of edges of an underlying graph $G$ (with fixed vertex set $V$ where $n=|V|$ is the number of vertices of $G$), we propose a dynamic algorithm that maintains a maximal independent set (MIS) of $G$ (at any time $t$ of the stream $\mathcal{S}$) with amortized update time $O(\log^3 n)$.
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