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 ...
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-...
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...
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,...
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...