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IM
2007
13 years 7 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
CPC
2010
74views more  CPC 2010»
13 years 5 months ago
Playing to Retain the Advantage
Let P be a monotone increasing graph property, let G = (V, E) be a graph, and let q be a positive integer. In this paper, we study the (1 : q) Maker-Breaker game, played on the ed...
Noga Alon, Dan Hefetz, Michael Krivelevich
ALENEX
2007
105views Algorithms» more  ALENEX 2007»
13 years 9 months ago
ScrewBox: a Randomized Certifying Graph-Non-Isomorphism Algorithm
We present a novel randomized approach to the graph isomorphism problem. Our algorithm aims at solving difficult instances by producing randomized certificates for non-isomorphis...
Martin Kutz, Pascal Schweitzer
SIAMDM
2002
124views more  SIAMDM 2002»
13 years 7 months ago
Counting Claw-Free Cubic Graphs
Let Hn be the number of claw-free cubic graphs on 2n labeled nodes. Combinatorial reductions are used to derive a second order, linear homogeneous differential equation with polyno...
Edgar M. Palmer, Ronald C. Read, Robert W. Robinso...
PVLDB
2010
152views more  PVLDB 2010»
13 years 6 months ago
k-Nearest Neighbors in Uncertain Graphs
Complex networks, such as biological, social, and communication networks, often entail uncertainty, and thus, can be modeled as probabilistic graphs. Similar to the problem of sim...
Michalis Potamias, Francesco Bonchi, Aristides Gio...