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DAM
2011
13 years 2 months ago
Optimization problems in multiple subtree graphs
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
Danny Hermelin, Dror Rawitz
JCT
2010
114views more  JCT 2010»
13 years 5 months ago
An almost quadratic bound on vertex Folkman numbers
The vertex Folkman number F(r, n, m), n < m, is the smallest integer t such that there exists a Km-free graph of order t with the property that every r-coloring of its vertices...
Andrzej Dudek, Vojtech Rödl
SIROCCO
2000
13 years 8 months ago
On time versus size for monotone dynamic monopolies in regular topologies
: We consider a well known distributed coloring game played on a simple connected graph: initially, each vertex is colored black or white; at each round, each vertex simultaneously...
Paola Flocchini, Rastislav Kralovic, Alessandro Ro...
IPL
2000
111views more  IPL 2000»
13 years 7 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
CORR
2010
Springer
152views Education» more  CORR 2010»
13 years 7 months ago
Deploying Wireless Networks with Beeps
Abstract. We present the discrete beeping communication model, which assumes nodes have minimal knowledge about their environment and severely limited communication capabilities. S...
Alejandro Cornejo, Fabian Kuhn