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» Coloring Geographical Threshold Graphs
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DMTCS
2010
153views Mathematics» more  DMTCS 2010»
13 years 2 months ago
Coloring Geographical Threshold Graphs
Milan Bradonjic, Tobias Müller, Allon G. Perc...
WAW
2007
Springer
120views Algorithms» more  WAW 2007»
13 years 11 months ago
Giant Component and Connectivity in Geographical Threshold Graphs
The geographical threshold graph model is a random graph model with nodes distributed in a Euclidean space and edges assigned through a function of distance and node weights. We st...
Milan Bradonjic, Aric A. Hagberg, Allon G. Percus
IM
2008
13 years 4 months ago
The Structure of Geographical Threshold Graphs
We analyze the structure of random graphs generated by the geographical threshold model. The model is a generalization of random geometric graphs. Nodes are distributed in space, a...
Milan Bradonjic, Aric A. Hagberg, Allon G. Percus
APPROX
2006
Springer
91views Algorithms» more  APPROX 2006»
13 years 8 months ago
Threshold Functions for Asymmetric Ramsey Properties Involving Cliques
Consider the following problem: For given graphs G and F1, . . . , Fk, find a coloring of the edges of G with k colors such that G does not contain Fi in color i. For example, if e...
Martin Marciniszyn, Jozef Skokan, Reto Spöhel...
COMBINATORICS
2000
89views more  COMBINATORICS 2000»
13 years 4 months ago
A Note on the Non-Colorability Threshold of a Random Graph
In this paper we consider the problem of establishing a value r0 such that almost all random graphs with n vertices and rn edges, r > r0, are asymptotically not 3-colorable. In...
Alexis C. Kaporis, Lefteris M. Kirousis, Yannis C....