منابع مشابه
Reload cost problems: minimum diameter spanning tree
We examine a network design problem under the reload cost model. Given an undirected edge colored graph, reload costs on a path arise at a node where the path uses consecutive edges of di(erent colors. We consider the problem of 0nding a spanning tree of minimum diameter with respect to the reload costs. We present lower bounds for the approximability even on graphs with maximum degree 5. On th...
متن کاملMinimum Reload Cost Cycle Cover in Complete Graphs
The reload cost refers to the cost that occurs along a path on an edge-colored graph when it traverses an internal vertex between two edges of different colors. Galbiati et al. [1] introduced the Minimum Reload Cost Cycle Cover problem, which is to find a set of vertex-disjoint cycles spanning all vertices with minimum reload cost. They proved that this problem is strongly NP-hard and not appro...
متن کاملOn the Complexity of Constructing Minimum Reload Cost Path-Trees
The reload cost concept refers to the cost that occurs at a vertex along a path on an edge-colored graph when it traverses an internal vertex between two edges of different colors. The reload cost depends only on the colors of the traversed edges. Previous work on reload costs focuses on the problem of finding a spanning tree that minimizes the total reload cost from a source vertex to all othe...
متن کاملEdge Coloring with Minimum Reload/Changeover Costs
In an edge-colored graph, a traversal cost occurs at a vertex along a path when consecutive edges with different colors are traversed. The value of the traversal cost depends only on the colors of the traversed edges. This concept leads to two global cost measures, namely the reload cost and the changeover cost, that have been studied in the literature and have various applications in telecommu...
متن کاملA dichotomy for minimum cost graph homomorphisms
For graphs G and H, a mapping f : V (G)→V (H) is a homomorphism of G to H if uv ∈ E(G) implies f(u)f(v) ∈ E(H). If, moreover, each vertex u ∈ V (G) is associated with costs ci(u), i ∈ V (H), then the cost of the homomorphism f is ∑ u∈V (G) cf(u)(u). For each fixed graph H, we have the minimum cost homomorphism problem, written as MinHOM(H). The problem is to decide, for an input graph G with co...
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ژورنال
عنوان ژورنال: Theory of Computing Systems
سال: 2021
ISSN: 1432-4350,1433-0490
DOI: 10.1007/s00224-020-10012-x