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» A note on interconnecting matchings in graphs
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DM
2006
54views more  DM 2006»
13 years 4 months ago
A note on interconnecting matchings in graphs
We prove a sufficient condition for a graph G to have a matching that interconnects all the components of a disconnected spanning subgraph of G. The condition is derived from a re...
Tomás Kaiser
ICDCS
2009
IEEE
14 years 1 months ago
A Note on Distributed Stable Matching
We consider the distributed complexity of the stable marriage problem. In this problem, the communication graph is undirected and bipartite, and each node ranks its neighbors. Giv...
Alex Kipnis, Boaz Patt-Shamir
IPL
2008
104views more  IPL 2008»
13 years 4 months ago
A note on harmonic subgraphs in labelled geometric graphs
Let S be a set of n points in general position in the plane, labelled bijectively with the integers {0, 1, . . ., n - 1}. Each edge (the straight segment that joins two points) is...
Gabriela Araujo, József Balogh, Ruy Fabila ...
COMBINATORICS
2006
103views more  COMBINATORICS 2006»
13 years 4 months ago
A Note on Domino Shuffling
We present a variation of James Propp's generalized domino shuffling, which provides an efficient way to obtain perfect matchings of weighted Aztec diamonds. Our modification...
É. Janvresse, T. de la Rue, Y. Velenik
COMBINATORICS
2007
88views more  COMBINATORICS 2007»
13 years 4 months ago
Maximum Matchings in Regular Graphs of High Girth
Let G = (V, E) be any d-regular graph with girth g on n vertices, for d ≥ 3. This note shows that G has a maximum matching which includes all but an exponentially small fraction...
Abraham D. Flaxman, Shlomo Hoory