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ICCI
1991
13 years 11 months ago
On the k-Coloring of Intervals
The problem of coloring a set of n intervals (from the real line) with a set of k colors is studied. In such a coloring, two intersecting intervals must receive distinct colors. O...
Martin C. Carlisle, Errol L. Lloyd
STACS
2005
Springer
14 years 1 months ago
A Polynomial Time Algorithm for Minimum Cycle Basis in Directed Graphs
Abstract. We consider the problem of computing a minimum cycle basis in a directed graph G with m arcs and n vertices. The arcs of G have non-negative weights assigned to them. We ...
Telikepalli Kavitha, Kurt Mehlhorn
SODA
2008
ACM
84views Algorithms» more  SODA 2008»
13 years 9 months ago
Robust cost colorings
We consider graph coloring problems where the cost of a coloring is the sum of the costs of the colors, and the cost of a color is a monotone concave function of the total weight ...
Takuro Fukunaga, Magnús M. Halldórss...
ICALP
2001
Springer
14 years 5 days ago
On the Approximability of Average Completion Time Scheduling under Precedence Constraints
Abstract. We consider the scheduling problem of minimizing the average weighted job completion time on a single machine under precedence constraints. We show that this problem with...
Gerhard J. Woeginger
CATS
2006
13 years 9 months ago
Graph Orientation Algorithms to Minimize the Maximum Outdegree
We study the problem of orienting the edges of a weighted graph such that the maximum weighted outdegree of vertices is minimized. This problem, which has applications in the guar...
Yuichi Asahiro, Eiji Miyano, Hirotaka Ono, Kouhei ...