A note on Matching Cover Algorithm
| Autor: | Wang, Xiumei, Song, Xiaoxin, Yuan, Jinjiang |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| Popis: | A $k$-matching cover of a graph $G$ is a union of $k$ matchings of $G$ which covers $V(G)$. A matching cover of $G$ is optimal if it consists of the fewest matchings of $G$. In this paper, we present an algorithm for finding an optimal matching cover of a graph on $n$ vertices and $m$ edges in $O(nm)$ time. This algorithm corrects an error of Matching Cover Algorithm in (Xiumei Wang, Xiaoxin Song, Jinjiang Yuan, On matching cover of graphs, Math. Program. Ser. A (2014)147: 499-518). |
| Databáze: | arXiv |
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