Premium
Computing capacitated minimal spanning trees efficiently
Author(s) -
Kershenbaum A.
Publication year - 1974
Publication title -
networks
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.977
H-Index - 64
eISSN - 1097-0037
pISSN - 0028-3045
DOI - 10.1002/net.3230040403
Subject(s) - spanning tree , minimum spanning tree , kruskal's algorithm , heuristics , node (physics) , computer science , heuristic , mathematics , tree (set theory) , distributed minimum spanning tree , combinatorics , mathematical optimization , algorithm , structural engineering , engineering
An analysis is made of the computational complexity of a class of heuristic algorithms for the solution of the minimal spanning tree problem subject to a restriction on the maximum number (or weight) of nodes in any subtree rooted at a distinguished node. This is of particular interest in designing networks with branch capacity restrictions. The algorithm is a modification of Kruskal's Algorithm where weights are assigned to the nodes and then used, along with the arc lengths, to select the order in which arcs are considered for inclusion in the spanning tree. Considerations in the efficient implementation of such algorithms are examined and several heuristics for assigning node weights are compared.