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» On a game in directed graphs
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ICALP
2011
Springer
14 years 9 months ago
Improved Approximation for the Directed Spanner Problem
We present an O( √ n log n)-approximation algorithm for the problem of finding the sparsest spanner of a given directed graph G on n vertices. A spanner of a graph is a sparse ...
Piotr Berman, Arnab Bhattacharyya, Konstantin Maka...
ESA
2007
Springer
100views Algorithms» more  ESA 2007»
16 years 9 days ago
Nash Equilibria in Voronoi Games on Graphs
In this paper we study a game where every player is to choose a vertex (facility) in a given undirected graph. All vertices (customers) are then assigned to closest facilities and...
Christoph Dürr, Nguyen Kim Thang
TCS
2008
15 years 6 months ago
Game chromatic index of graphs with given restrictions on degrees
Given a graph G and an integer k, two players alternatively color the edges of G using k colors so that adjacent edges get different colors. The game chromatic index g(G) is the m...
Andrew Beveridge, Tom Bohman, Alan M. Frieze, Oleg...
IANDC
2008
85views more  IANDC 2008»
15 years 6 months ago
Monotony properties of connected visible graph searching
Search games are attractive for their correspondence with classical width parameters. For instance, the invisible search number (a.k.a. node search number) of a graph is equal to
Pierre Fraigniaud, Nicolas Nisse
WINE
2005
Springer
179views Economy» more  WINE 2005»
15 years 11 months ago
A Graph-Theoretic Network Security Game
Consider a network vulnerable to viral infection. The system security software can guarantee safety only to a limited part of the network. Such limitations result from economy cos...
Marios Mavronicolas, Vicky G. Papadopoulou, Anna P...