Finding Minimal Branchings With a Given Number of Arcs
Yugoslav journal of operations research, Tome 12 (2002) no. 1, p. 1
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We describe an algorithm for finding a minimal s -branching (where s is a
given number of its arcs) in a weighted digraph with an asymetric weight matrix. The
algorithm uses the basic principles of the method (previously developed by J. Edmonds)
for determining a minimal branching in the case when the number of its arcs is not
specified in advance. Here we give a proof of the correctness for the described
algorithm.
Classification :
05C85 05C05 05C20 90B99 90C99
Keywords: Combinatorial optimization, weighted graphs, minimal branching.
Keywords: Combinatorial optimization, weighted graphs, minimal branching.
@article{YJOR_2002_12_1_a0,
author = {Drago\v{s} Cvetkovi\'c and Mirjana \v{C}angalovi\'c},
title = {Finding {Minimal} {Branchings} {With} a {Given} {Number} of {Arcs}},
journal = {Yugoslav journal of operations research},
pages = {1 },
year = {2002},
volume = {12},
number = {1},
zbl = {1150.05401},
language = {en},
url = {http://geodesic.mathdoc.fr/item/YJOR_2002_12_1_a0/}
}
Dragoš Cvetković; Mirjana Čangalović. Finding Minimal Branchings With a Given Number of Arcs. Yugoslav journal of operations research, Tome 12 (2002) no. 1, p. 1 . http://geodesic.mathdoc.fr/item/YJOR_2002_12_1_a0/