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Computing Cycle Covers without Short Cycles
[chapter]

2001
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Lecture Notes in Computer Science
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A cycle cover of a graph is a spanning subgraph where each node is part of exactly one simple cycle. A k-cycle cover is a cycle cover where each cycle has length at least k. We call the decision problems whether a directed or undirected graph has a k-cycle cover k-DCC and k-UCC. Given a graph with edge weights one and two, Min-k-DCC and Min-k-UCC are the minimization problems of finding a k-cycle cover with minimum weight. We present factor 4/3 approximation algorithms for Min-k-DCC with

doi:10.1007/3-540-44676-1_31
fatcat:flxpjeyzqza2dp7fwc42b3hqta