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» Oriented diameter of graphs with diameter 3
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SPAA
2010
ACM
14 years 5 days ago
Basic network creation games
We study a natural network creation game, in which each node locally tries to minimize its local diameter or its local average distance to other nodes, by swapping one incident ed...
Noga Alon, Erik D. Demaine, MohammadTaghi Hajiagha...
WADS
2007
Springer
104views Algorithms» more  WADS 2007»
14 years 1 months ago
Faster Approximation of Distances in Graphs
Let G = (V, E) be an weighted undirected graph on n vertices and m edges, and let dG be its shortest path metric. We present two simple deterministic algorithms for approximating ...
Piotr Berman, Shiva Prasad Kasiviswanathan
ISCI
2011
13 years 2 months ago
Augmented k-ary n-cubes
We define an interconnection network AQn,k which we call the augmented kary n-cube by extending a k-ary n-cube in a manner analogous to the existing extension of an n-dimensional...
Yonghong Xiang, Iain A. Stewart
ARSCOM
2007
77views more  ARSCOM 2007»
13 years 7 months ago
Extremal bipartite graphs with high girth
Let us denote by EX (m, n; {C4, . . . , C2t}) the family of bipartite graphs G with m and n vertices in its classes that contain no cycles of length less than or equal to 2t and h...
Camino Balbuena, Pedro García-Vázque...
JNW
2008
75views more  JNW 2008»
13 years 7 months ago
Time Efficient Radio Broadcasting in Planar Graphs
Abstract-- We study the communication primitive of broadcasting (one-to-all communication) in known topology radio networks, i.e., where for each primitive the schedule of transmis...
Fredrik Manne, Qin Xin