Sciweavers

492 search results - page 2 / 99
» Perfect Matching Preservers
Sort
View
ENDM
2007
104views more  ENDM 2007»
13 years 5 months ago
Matching graphs of Hypercubes and Complete Bipartite Graphs
Kreweras’ conjecture [9] asserts that every perfect matching of the hypercube Qd can be extended to a Hamiltonian cycle of Qd. We [5] proved this conjecture but here we present ...
Jirí Fink
ESA
2004
Springer
132views Algorithms» more  ESA 2004»
13 years 10 months ago
Seeking a Vertex of the Planar Matching Polytope in NC
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, ...
Raghav Kulkarni, Meena Mahajan
ENDM
2008
127views more  ENDM 2008»
13 years 5 months ago
Compatible Geometric Matchings
This paper studies non-crossing geometric perfect matchings. Two such perfect matchings are compatible if they have the same vertex set and their union is also non-crossing. Our f...
Oswin Aichholzer, Sergey Bereg, Adrian Dumitrescu,...
JCT
2007
76views more  JCT 2007»
13 years 5 months ago
Perfect matchings extend to Hamilton cycles in hypercubes
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.
Jirí Fink
STOC
1990
ACM
96views Algorithms» more  STOC 1990»
13 years 9 months ago
Monotone Circuits for Matching Require Linear Depth
We prove that monotone circuits computing the perfect matching function on n-vertex graphs require (n) depth. This implies an exponential gap between the depth of monotone and non...
Ran Raz, Avi Wigderson