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ENDM
2007
104views more  ENDM 2007»
13 years 7 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»
14 years 24 days 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 7 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 7 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 11 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