Minimum Sum Multicoloring
نویسنده
چکیده
The edge multicoloring problem is that given a graph G and integer demands x(e) for every edge e, assign a set of x(e) colors to vertex e, such that adjacent edges have disjoint sets of colors. In the minimum sum edge multicoloring problem the finish time of an edge is defined to be the highest color assigned to it. The goal is to minimize the sum of the finish times. The main result of the paper is a polynomial time approximation scheme for minimum sum multicoloring the edges of
منابع مشابه
Minimum Sum Multicoloring on the Edges of Planar Graphs and Partial k-trees (Extended Abstract)
The edge multicoloring problem is that given a graph G and integer demands x(e) for every edge e, assign a set of x(e) colors to edge e, such that adjacent edges have disjoint sets of colors. In the minimum sum edge multicoloring problem the finish time of an edge is defined to be the highest color assigned to it. The goal is to minimize the sum of the finish times. The main result of the paper...
متن کاملMinimum sum multicoloring on the edges of trees
The edge multicoloring problem is that given a graph G and integer demands x(e) for every edge e, assign a set of x(e) colors to edge e, such that adjacent edges have disjoint sets of colors. In the minimum sum edge multicoloring problem the finish time of an edge is defined to be the highest color assigned to it. The goal is to minimize the sum of the finish times. The main result of the paper...
متن کاملMinimum Sum Multicoloring on the Edges of Trees: (Extended Abstract)
The edge multicoloring problem is that given a graph G and integer demands x(e) for every edge e, assign a set of x(e) colors to edge e, such that adjacent edges have disjoint sets of colors. In the minimum sum edge multicoloring problem the finish time of an edge is defined to be the highest color assigned to it. The goal is to minimize the sum of the finish times. The main result of the paper...
متن کاملMinimum Sum Multicoloring on the Edges of Planar Graphs and Partial k-Trees
Minimum sum multicoloring on the edges ofplanar graphs and partial k-trees – p.1/13
متن کاملSum Multi-coloring of Graphs
Scheduling dependent jobs on multiple machines is modeled by the graph multicoloring problem. In this paper we consider the problem of minimizing the average completion time of all jobs. This is formalized as the sum multicoloring problem: Given a graph and the number of colors required by each vertex, nd a multicoloring which minimizes the sum of the largest colors assigned to the vertices. It...
متن کامل