Dynamic Maximal Independent Set

06/23/2019

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by   Morteza Monemizadeh, et al.

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Given a stream 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 S) with amortized update time O(^3 n).