Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 2
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J. Plesnik. WORST-CASE RELATIVE PERFORMANCES OF HEURISTICS FOR THE STEINER PROBLEM IN GRAPHS. Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 2. http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a10/
@article{AMUC_1991_60_2_a10,
author = {J. Plesnik},
title = {WORST-CASE {RELATIVE} {PERFORMANCES} {OF} {HEURISTICS} {FOR} {THE} {STEINER} {PROBLEM} {IN} {GRAPHS}},
journal = {Acta mathematica Universitatis Comenianae},
year = {1991},
volume = {60},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a10/}
}
TY - JOUR
AU - J. Plesnik
TI - WORST-CASE RELATIVE PERFORMANCES OF HEURISTICS FOR THE STEINER PROBLEM IN GRAPHS
JO - Acta mathematica Universitatis Comenianae
PY - 1991
VL - 60
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a10/
ID - AMUC_1991_60_2_a10
ER -
%0 Journal Article
%A J. Plesnik
%T WORST-CASE RELATIVE PERFORMANCES OF HEURISTICS FOR THE STEINER PROBLEM IN GRAPHS
%J Acta mathematica Universitatis Comenianae
%D 1991
%V 60
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_1991_60_2_a10/
%F AMUC_1991_60_2_a10
The Steiner problem asks for a minimum cost tree spanning a given subset of vertices in a graph (network) with positive edge costs. First we modify the Rayward-Smith heuristic and prove that this does not change its worst-case performance, but the number of iterations is often reduced. Then 9 heuristics are theoretically analysed as to their worst-case relative performances.