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» On the Grundy Number of a Graph
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SIAMDM
2010
89views more  SIAMDM 2010»
13 years 2 months ago
Routing Numbers of Cycles, Complete Bipartite Graphs, and Hypercubes
The routing number rt(G) of a connected graph G is the minimum integer r so that every permutation of vertices can be routed in r steps by swapping the ends of disjoint edges. In t...
Wei-Tian Li, Linyuan Lu, Yiting Yang
COMBINATORICA
2011
12 years 7 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
TIT
2011
116views more  TIT 2011»
13 years 2 months ago
On the Number of Errors Correctable with Codes on Graphs
Alexander Barg, Arya Mazumdar