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CORR
2006
Springer
128views Education» more  CORR 2006»
15 years 6 months ago
The Shannon capacity of a graph and the independence numbers of its powers
The independence numbers of powers of graphs have been long studied, under several definitions of graph products, and in particular, under the strong graph product. We show that t...
Noga Alon, Eyal Lubetzky
IPL
1998
95views more  IPL 1998»
15 years 5 months ago
Coloring Random Graphs
An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most one. The least positive integer k for which there exis...
Michael Krivelevich, Benny Sudakov
DM
2008
69views more  DM 2008»
15 years 6 months ago
Connectedness of the graph of vertex-colourings
For a positive integer k and a graph G, the k-colour graph of G, Ck(G), is the graph that has the proper k-vertex-colourings of G as its vertex set, and two k-colourings are joine...
Luis Cereceda, Jan van den Heuvel, Matthew Johnson
CORR
2011
Springer
184views Education» more  CORR 2011»
15 years 1 months ago
Acyclic and Star Colorings of Cographs
An acyclic coloring of a graph is a proper vertex coloring such that the union of any two color classes induces a disjoint collection of trees. The more restricted notion of star ...
Andrew Lyons
INFOCOM
2005
IEEE
15 years 11 months ago
Bounding the power rate function of wireless ad hoc networks
Abstract— Given a wireless ad hoc network and an endto-end traffic pattern, the power rate function refers to the minimum total power required to support different throughput un...
Yunnan Wu, Qian Zhang, Wenwu Zhu, Sun-Yuan Kung