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» The b-chromatic Number of a Graph
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RSA
2002
81views more  RSA 2002»
13 years 9 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
STOC
2000
ACM
112views Algorithms» more  STOC 2000»
14 years 2 months ago
A random graph model for massive graphs
We propose a random graph model which is a special case of sparse random graphs with given degree sequences. This model involves only a small number of parameters, called logsize ...
William Aiello, Fan R. K. Chung, Linyuan Lu
CORR
2010
Springer
88views Education» more  CORR 2010»
13 years 10 months ago
A characterization of b-perfect graphs
A b-coloring is a coloring of the vertices of a graph such that each color class contains a vertex that has a neighbor in all other color classes, and the b-chromatic number of a ...
Chính T. Hoàng, Frédér...
CORR
2007
Springer
104views Education» more  CORR 2007»
13 years 10 months ago
Observable Graphs
An edge-colored directed graph is observable if an agent that moves along its edges is able to determine his position in the graph after a sufficiently long observation of the edge...
Raphael M. Jungers, Vincent D. Blondel
JGT
2010
158views more  JGT 2010»
13 years 8 months ago
Cubicity of interval graphs and the claw number
Let G(V, E) be a simple, undirected graph where V is the set of vertices and E is the set of edges. A b-dimensional cube is a Cartesian product I1 × I2 × · · · × Ib, where ea...
Abhijin Adiga, L. Sunil Chandran