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» The b-chromatic Number of a Graph
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TIT
2010
141views Education» more  TIT 2010»
15 years 1 months ago
Distributed averaging via lifted Markov chains
Abstract--Motivated by applications of distributed linear estimation, distributed control, and distributed optimization, we consider the question of designing linear iterative algo...
Kyomin Jung, Devavrat Shah, Jinwoo Shin
JGT
2010
90views more  JGT 2010»
15 years 5 months ago
The rainbow connection of a graph is (at most) reciprocal to its minimum degree
An edge-colored graph G is rainbow edge-connected if any two vertices are connected by a path whose edges have distinct colors. The rainbow connection of a connected graph G, deno...
Michael Krivelevich, Raphael Yuster
RSA
2010
104views more  RSA 2010»
15 years 5 months ago
Random graphs with forbidden vertex degrees
We study the random graph Gn,λ/n conditioned on the event that all vertex degrees lie in some given subset S of the nonnegative integers. Subject to a certain hypothesis on S, the...
Geoffrey R. Grimmett, Svante Janson
ENDM
2002
84views more  ENDM 2002»
15 years 6 months ago
Addressing the Petersen graph
Motivated by a problem on message routing in communication networks, Graham and Pollak proposed a scheme for addressing the vertices of a graph G by N-tuples of three symbols in s...
Randall J. Elzinga, David A. Gregory, Kevin N. Van...
DAM
2000
97views more  DAM 2000»
15 years 6 months ago
Algorithms and obstructions for linear-width and related search parameters
The linear-width of a graph G is de ned to be the smallest integer k such that the edges of G can be arranged in a linear ordering e1;:::;er in such a way that for every i = 1;:::...
Dimitrios M. Thilikos