Title
The Edmonds-Gallai Decomposition for the k-Piece Packing Problem
Abstract
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
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 Janata131.48
Martin Loebl215228.66
Jácint Szabó311312.67