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2010
79views more  DAM 2010»
14 years 12 months ago
On the sum minimization version of the online bin covering problem
Given a set of m identical bins of size 1, the online input consists of a (potentially, infinite) stream of items in (0, 1]. Each item is to be assigned to a bin upon arrival. The ...
János Csirik, Leah Epstein, Csanád I...
DAM
2010
116views more  DAM 2010»
14 years 12 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...
DAM
2010
81views more  DAM 2010»
14 years 12 months ago
Parallel cleaning of a network with brushes
We consider the process of cleaning a network where at each time step, all vertices that have at least as many brushes as incident, contaminated edges, send brushes down these edg...
Serge Gaspers, Margaret-Ellen Messinger, Richard J...
DAM
2010
105views more  DAM 2010»
14 years 9 months ago
An iterative approach to graph irregularity strength
An assignment of positive integer weights to the edges of a simple graph G is called irregular if the weighted degrees of the vertices are all different. The irregularity strength,...
Michael Ferrara, Ronald J. Gould, Michal Karonski,...
DAM
2010
81views more  DAM 2010»
14 years 12 months ago
The k-in-a-tree problem for graphs of girth at least k
For all integers k 3, we give an O(n4 ) time algorithm for the problem whose instance is a graph G of girth at least k together with k vertices and whose question is "Does G...
W. Liu, Nicolas Trotignon