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» The cover time of the preferential attachment graph
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JCT
2007
108views more  JCT 2007»
13 years 4 months ago
The cover time of the preferential attachment graph
The preferential attachment graph Gm(n) is a random graph formed by adding a new vertex at each time step, with m edges which point to vertices selected at random with probability...
Colin Cooper, Alan M. Frieze
WAW
2004
Springer
96views Algorithms» more  WAW 2004»
13 years 10 months ago
A Geometric Preferential Attachment Model of Networks
We study a random graph Gn that combines certain aspects of geometric random graphs and preferential attachment graphs. The vertices of Gn are n sequentially generated points x1, ...
Abraham Flaxman, Alan M. Frieze, Juan Vera
NETWORKING
2011
12 years 7 months ago
STEPS - An Approach for Human Mobility Modeling
Abstract. In this paper we introduce Spatio-TEmporal Parametric Stepping (STEPS) - a simple parametric mobility model which can cover a ectrum of human mobility patterns. STEPS mak...
Anh Dung Nguyen, Patrick Sénac, Victor Rami...
CPC
2007
125views more  CPC 2007»
13 years 4 months ago
Adversarial Deletion in a Scale-Free Random Graph Process
We study a dynamically evolving random graph which adds vertices and edges using preferential attachment and is “attacked by an adversary”. At time t, we add a new vertex xt a...
Abraham D. Flaxman, Alan M. Frieze, Juan Vera
ICITS
2011
12 years 8 months ago
Homogeneous Faults, Colored Edge Graphs, and Cover Free Families
In this paper, we use the concept of colored edge graphs to model homogeneous faults in networks. We then use this model to study the minimum connectivity (and design) requirements...
Yongge Wang, Yvo Desmedt