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» The Number of Independent Sets in a Grid Graph
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COMBINATORICA
2011
12 years 7 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
AINA
2010
IEEE
14 years 9 days ago
The Power of Orientation in Symmetry-Breaking
—Symmetry breaking is a fundamental operation in distributed computing. It has applications to important problems such as graph vertex and edge coloring, maximal independent sets...
Satya Krishna Pindiproli, Kishore Kothapalli
FUN
2010
Springer
285views Algorithms» more  FUN 2010»
14 years 10 days ago
An Algorithmic Analysis of the Honey-Bee Game
The Honey-Bee game is a two-player board game that is played on a connected hexagonal colored grid, or in a generalized setting, on a connected graph with colored nodes. In a singl...
Rudolf Fleischer, Gerhard J. Woeginger
COMBINATORICS
2006
123views more  COMBINATORICS 2006»
13 years 7 months ago
The Non-Crossing Graph
Two sets are non-crossing if they are disjoint or one contains the other. The noncrossing graph NCn is the graph whose vertex set is the set of nonempty subsets of [n] = {1, . . ....
Nathan Linial, Michael E. Saks, David Statter
ARSCOM
2007
65views more  ARSCOM 2007»
13 years 7 months ago
Odd and Even Dominating Sets with Open Neighborhoods
A subset D of the vertex set V of a graph is called an open oddd dominating set if each vertex in V is adjacent to an odd number of vertices in D (adjacency is irreflexive). In t...
John L. Goldwasser, William Klostermeyer