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» An almost quadratic bound on vertex Folkman numbers
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COMBINATORICA
2011
12 years 5 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
CAAN
2007
Springer
13 years 11 months ago
Vertex Pursuit Games in Stochastic Network Models
Abstract. Random graphs with given expected degrees G(w) were introduced by Chung and Lu so as to extend the theory of classical G(n, p) random graphs to include random power law g...
Anthony Bonato, Pawel Pralat, Changping Wang
WG
2004
Springer
13 years 10 months ago
Partitioning a Weighted Graph to Connected Subgraphs of Almost Uniform Size
Abstract. Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wish to partition G into connected components...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
MSN
2007
Springer
110views Sensor Networks» more  MSN 2007»
13 years 11 months ago
A Location Aided Flooding Protocol for Wireless Ad Hoc Networks
Flooding in wireless ad hoc networks is a fundamental and critical operation in supporting various applications and protocols. However, the traditional flooding scheme generates ex...
Xinxin Liu, Xiaohua Jia, Hai Liu, Li Feng
IM
2007
13 years 5 months ago
Pursuit-Evasion in Models of Complex Networks
Vertex pursuit games, such as the game of Cops and Robbers, are a simplified model for network security. In these games, cops try to capture a robber loose on the vertices of the ...
Anthony Bonato, Pawel Pralat, Changping Wang