COCO
2010
Springer
13 years 10 months ago
2010
Springer
An even cycle in a graph is called nice by Lov
JCT
2010
13 years 11 months ago
2010
Let m1, m2, . . . , mt be a list of integers. It is shown that there exists an integer N such that for all n ≥ N, the complete graph of order n can be decomposed into edge-disjo...
JCT
2007
14 years 15 days ago
2007
Kreweras’ conjecture [1] asserts that any perfect matching of the hypercube Qd, d ≥ 2, can be extended to a Hamilton cycle. We prove this conjecture.
JCT
2007
14 years 15 days ago
2007
A brick is a 3-connected graph such that the graph obtained from it by deleting any two distinct vertices has a perfect matching. The importance of bricks stems from the fact that...
SIAMDM
2008
14 years 16 days ago
2008
An n-lift of a digraph K, is a digraph with vertex set V (K)
DM
2006
14 years 19 days ago
2006
The resonance graph R(B) of a benzenoid graph B has the perfect matchings of B as vertices, two perfect matchings being adjacent13 if their symmetric difference forms the edge set...
DM
2006
14 years 19 days ago
2006
The forcing number of a perfect matching M of a graph G is the cardinality of the smallest subset of M that is contained in no other perfect matching of G. In this paper, we demon...
APPROX
2006
Springer
14 years 4 months ago
2006
Springer
In this paper we relate the problem of finding structures related to perfect matchings in bipartite graphs to a stochastic process similar to throwing balls into bins. Given a bip...
ESA
2004
Springer
14 years 6 months ago
2004
Springer
For planar graphs, counting the number of perfect matchings (and hence determining whether there exists a perfect matching) can be done in NC [4, 10]. For planar bipartite graphs, ...
PCI
2005
Springer
14 years 6 months ago
2005
Springer
Abstract. In this paper, we address the problem of computing a maximum-size subgraph of a P4-sparse graph which admits a perfect matching; in the case where the graph has a perfect...