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» On the Grundy Number of a Graph
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ESA
2007
Springer
100views Algorithms» more  ESA 2007»
16 years 17 days ago
Nash Equilibria in Voronoi Games on Graphs
In this paper we study a game where every player is to choose a vertex (facility) in a given undirected graph. All vertices (customers) are then assigned to closest facilities and...
Christoph Dürr, Nguyen Kim Thang
GBRPR
2007
Springer
16 years 17 days ago
Computing Homology Group Generators of Images Using Irregular Graph Pyramids
We introduce a method for computing homology groups and their generators of a 2D image, using a hierarchical structure i.e. irregular graph pyramid. Starting from an image, a hiera...
Samuel Peltier, Adrian Ion, Yll Haxhimusa, Walter ...
COMBINATORICA
2008
130views more  COMBINATORICA 2008»
15 years 6 months ago
Two-point concentration in random geometric graphs
A random geometric graph Gn is constructed by taking vertices X1, . . . , Xn Rd at random (i.i.d. according to some probability distribution with a bounded density function) and...
Tobias Müller
JGT
2010
103views more  JGT 2010»
15 years 4 months ago
Characterizing 3-connected planar graphs and graphic matroids
: A well-known result of Tutte states that a 3-connected graph G is planar if and only if every edge of G is contained in exactly two induced non-separating circuits. Bixby and Cun...
Manoel Lemos, Talmage James Reid, Haidong Wu
COMBINATORICA
2007
81views more  COMBINATORICA 2007»
15 years 6 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo