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» On the Chromatic Number of Random Graphs
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IPL
2000
111views more  IPL 2000»
14 years 11 months ago
On the performance of the first-fit coloring algorithm on permutation graphs
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
Stavros D. Nikolopoulos, Charis Papadopoulos
CPC
2006
93views more  CPC 2006»
14 years 11 months ago
Generating Outerplanar Graphs Uniformly at Random
We show how to generate labeled and unlabeled outerplanar graphs with n vertices uniformly at random in polynomial time in n. To generate labeled outerplanar graphs, we present a c...
Manuel Bodirsky, Mihyun Kang
STACS
2012
Springer
13 years 7 months ago
Low Randomness Rumor Spreading via Hashing
We consider the classical rumor spreading problem, where a piece of information must be disseminated from a single node to all n nodes of a given network. We devise two simple pus...
George Giakkoupis, Thomas Sauerwald, He Sun, Phili...
JGT
2008
77views more  JGT 2008»
14 years 11 months ago
List-coloring the square of a subcubic graph
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...
Daniel W. Cranston, Seog-Jin Kim
STOC
2000
ACM
112views Algorithms» more  STOC 2000»
15 years 4 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