id: 02161309 dt: j an: 02161309 au: Janata, Marek; Loebl, Martin; Szabó, Jácint ti: The Edmonds-Gallai decomposition for the $k$-piece packing problem. so: Electron. J. Comb. 12, No. 1, Research paper R8, 21 p., electronic only (2005). py: 2005 pu: Prof. André Kündgen, Deptartment of Mathematics, California State University San Marcos, San Marcos, CA la: EN cc: ut: barrier; galaxy; matching; matroid ci: li: emis:journals/EJC/Volume_12/Abstracts/v12i1r8.html ab: A $k$-piece is a simple, connected graph with the highest degree exactly $k$. The $k$-piece packing of a graph $G$ is a subgraph $P$ of $G$ such that each connected component of $P$ is a $k$-piece. In the paper, an Edmonds-Gallai type decomposition for maximal $k$-piece packings is given. Moreover, it is proved that the vertex sets coverable by $k$-piece packings have a certain matroidal structure. rv: Martin Knor (Bratislava)