The matching extension problem in general graphs is co-NP-complete.

Autor: Hackfeld, Jan, Koster, Arie M. C. A.
Zdroj: Journal of Combinatorial Optimization; Apr2018, Vol. 35 Issue 3, p853-859, 7p
Abstrakt: A simple connected graph G with 2n vertices is said to be k-extendable for an integer k with 0 if G contains a perfect matching and every matching of cardinality k in G is a subset of some perfect matching. Lakhal and Litzler (Inf Process Lett 65(1):11-16, 1998) discovered a polynomial algorithm that decides whether a bipartite graph is k-extendable. For general graphs, however, it has been an open problem whether there exists a polynomial algorithm. The new result presented in this paper is that the extendability problem is co-NP-complete. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index