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» Coloring Geographical Threshold Graphs
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DMTCS
2010
153views Mathematics» more  DMTCS 2010»
14 years 6 months ago
Coloring Geographical Threshold Graphs
Milan Bradonjic, Tobias Müller, Allon G. Perc...
WAW
2007
Springer
120views Algorithms» more  WAW 2007»
15 years 3 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
14 years 9 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»
15 years 1 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»
14 years 9 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....