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ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
14 years 1 days ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
EJC
2007
13 years 8 months ago
Perfect packings with complete graphs minus an edge
Let K− r denote the graph obtained from Kr by deleting one edge. We show that for every integer r ≥ 4 there exists an integer n0 = n0(r) such that every graph G whose order n â...
Oliver Cooley, Daniela Kühn, Deryk Osthus
JGT
2006
97views more  JGT 2006»
13 years 8 months ago
Matchings in hypergraphs of large minimum degree
It is well known that every bipartite graph with vertex classes of size n whose minimum degree is at least n/2 contains a perfect matching. We prove an analogue of this result for...
Daniela Kühn, Deryk Osthus
ISAAC
2005
Springer
127views Algorithms» more  ISAAC 2005»
14 years 1 months ago
On Complexity and Approximability of the Labeled Maximum/Perfect Matching Problems
In this paper, we deal with both the complexity and the approximability of the labeled perfect matching problem in bipartite graphs. Given a simple graph G = (V, E) with n vertices...
Jérôme Monnot
WEA
2005
Springer
138views Algorithms» more  WEA 2005»
14 years 1 months ago
A Practical Minimal Perfect Hashing Method
We propose a novel algorithm based on random graphs to construct minimal perfect hash functions h. For a set of n keys, our algorithm outputs h in expected time O(n). The evaluatio...
Fabiano C. Botelho, Yoshiharu Kohayakawa, Nivio Zi...