Abstract | ||
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Generalizing Kaneko's long path packing problem, Hartvigsen, Hell and Szabo consider a new type of undirected graph packing problem, called the k-piece packing problem. A k-piece is a simple, connected graph with highest degree exactly k so in the case k = 1 we get the classical matching problem. They give a polynomial algorithm, a Tutte-type characterization and a Berge-type minimax formula for the k-piece packing problem. However, they leave open the question of an Edmonds-Gallai type decomposition. This paper fills this gap by describing such a decomposition. We also prove that the vertex sets coverable by k-piece packings have a certain matroidal structure. |
Year | Venue | DocType |
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2005 | ELECTRONIC JOURNAL OF COMBINATORICS | Journal |
Volume | Issue | ISSN |
12.0 | 1.0 | 1077-8926 |
Citations | PageRank | References |
0 | 0.34 | 7 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Marek Janata | 1 | 3 | 1.48 |
Martin Loebl | 2 | 152 | 28.66 |
Jácint Szabó | 3 | 113 | 12.67 |