Results 91 to 100 of about 128,039 (188)
The Directed Minimum-Degree Spanning Tree Problem [PDF]
Consider a directed graph G = (V, E) with n vertices and a root vertex r ∈ V. The DMDST problem for G is one of constructing a spanning tree rooted at r, whose maximal degree is the smallest among all such spanning trees. The problem is known to be NP-hard. A quasi-polynomial time approximation algorithm for this problem is presented.
Radha Krishnan, Balaji Raghavachari
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Degree-Constrained Minimum Spanning Hierarchies in Graphs
The minimum spanning tree problem in graphs under budget-type degree constraints (DCMST) is a well-known NP-hard problem. Spanning trees do not always exist, and the optimum can not be approximated within a constant factor.
Miklos Molnar
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On calculation of the stability radius for a minimum spanning tree
We consider a minimum spanning tree problem in the situation where weights of edges are exposed to independent perturbations. We study a quantitative characteristic of stability for a given optimal solutions of the problem.
Yauheni D. Zhyvitsa, Kiril G. Kuzmin
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Solving Medium to Large Sized Euclidean Generalized Minimum Spanning Tree Problems [PDF]
The generalized minimum spanning tree problem is a generalization of the minimum spanning tree problem. This network design problems finds several practical applications, especially when one considers the design of a large-capacity backbone network ...
Ghosh, Diptesh
core
The degree-constrained minimum spanning tree problem (DCMST) is an NP-hard optimization problem defined on connected weighted graphs. It consists of computing a minimum-cost spanning tree of the graph whose nodes have degrees smaller or equal to a ...
José Flavio Lopes +1 more
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Exact algorithm for the problem of the minimum complete spanning tree of a divisible multiple graph
We study undirected multiple graphs of any natural multiplicity $k > 1$. There are edges of three types: ordinary edges, multiple edges, and multi-edges.
Alexander V. Smirnov
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Solving Fuzzy Minimum Spanning Tree (FFMST) and Fuzzy Tsukamoto using modified Prim Algorithm for Undirected Graphs and modified Optimal Branching Algorithm for Directed Graphs in FFN environment.
Desli de Haas +2 more
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Rough Fuzzy Quadratic Minimum Spanning Tree Problem
A quadratic minimum spanning tree (QMST) problem is to determine a minimum spanning tree of a connected graph having edges which are associated with linear and quadratic weights. The linear weights are the edge costs which are associated with every edge whereas the quadratic weights are the interaction costs between a pair of edges of the graph.
Majumder, Saibal +2 more
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On the Shapley value of a minimum cost spanning tree problem [PDF]
We associate an optimistic coalitional game with each minimum cost spanning tree problem. We define the worth of a coalition as the cost of connection assuming that the rest of the agents are already connected.
Gustavo Bergantiños, Juan Vidal-Puga
core
Weight-Constrained Minimum Spanning Tree Problem [PDF]
In an undirected graph G we associate costs and weights to each edge. The weight-constrained minimum spanning tree problem is to find a spanning tree of total edge weight at most a given value W and minimum total costs under this restriction. In this thesis a literature overview on this NP-hard problem, theoretical properties concerning the convex hull
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