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» On Bounds for the k-Partitioning of Graphs
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DM
2006
101views more  DM 2006»
14 years 10 months ago
Collapsible biclaw-free graphs
A graph is called biclaw-free if it has no biclaw as an induced subgraph. In this note, we prove that if G is a connected bipartite biclaw-free graph with (G) 5, then G is collap...
Hong-Jian Lai, Xiangjuan Yao
ECCC
2007
109views more  ECCC 2007»
14 years 10 months ago
Logic, Graphs, and Algorithms
Algorithmic meta theorems are algorithmic results that apply to whole families of combinatorial problems, instead of just specific problems. These families are usually defined i...
Martin Grohe
ICPP
1995
IEEE
15 years 1 months ago
Generalized Algorithm for Parallel Sorting on Product Networks
If G is a connected graph with N nodes, its r dimensional product contains Nr nodes. We present an algorithm which sorts Nr keys stored in the rdimensional product of any graph G ...
Antonio Fernández, Nancy Eleser, Kemal Efe
SIAMDM
2010
149views more  SIAMDM 2010»
14 years 8 months ago
Formal Theory of Noisy Sensor Network Localization
Graph theory has been used to characterize the solvability of the sensor network localization problem. If sensors correspond to vertices and edges correspond to sensor pairs betwee...
Brian D. O. Anderson, Iman Shames, Guoqiang Mao, B...
TCS
2010
14 years 8 months ago
Cops and Robbers from a distance
Cops and Robbers is a pursuit and evasion game played on graphs that has received much attention. We consider an extension of Cops and Robbers, distance k Cops and Robbers, where t...
Anthony Bonato, Ehsan Chiniforooshan, Pawel Pralat