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The quadratic minimum spanning tree problem

โœ Scribed by Arjang Assad; Weixuan Xu


Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
893 KB
Volume
39
Category
Article
ISSN
0894-069X

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๐Ÿ“œ SIMILAR VOLUMES


The Capacitated Minimum Spanning Tree
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## Abstract The capacitated minimum spanning tree is an offspring of the minimum spanning tree and network flow problems. It has application in the design of multipoint linkages in elementary teleprocessing tree networks. Some theorems are used in conjunction with Little's branch and bound algorith

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We present an algorithm for counting the number of minimum weight spanning trees, based on the fact that the generating function for the number of spanning trees of a given graph, by weight, can be expressed as a simple determinant. For a graph with n vertices and m edges, our ลฝ ลฝ .. ลฝ . algorithm r

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The full-degree spanning tree problem is defined as follows: Given a connected graph G G G = (V V V, E E E), find a spanning tree T T T to maximize the number of vertices whose degree in T T T is the same as in G G G (these are called vertices of "full" degree). This problem is NP-hard. We present a

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This paper considers a stochastic version of bottleneck spanning tree problem in which edge costs are random variables. The problem is to find an optimal spanning tree under the chance constraint with respect to bottleneck (maximum cost) edge of spanning tree. The problem is first transformed into a