We present in this paper two simple linear algorithms that solve to optimality the linear ordering problem for unweighted tree based graphs viz. the oriented trees and the oriented divide-and-conquer graphs.
Accepté le :
DOI : 10.1051/ro/2015024
Mots-clés : Linear ordering, linear time algorithms, divide-and-conquer graphs, directed tree
@article{RO_2016__50_2_315_0,
author = {Quilliot, Alain and Rebaine, Djamal},
title = {Linear time algorithms to solve the linear ordering problem for oriented tree based graphs},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {315--325},
publisher = {EDP-Sciences},
volume = {50},
number = {2},
year = {2016},
doi = {10.1051/ro/2015024},
mrnumber = {3479871},
zbl = {1338.90254},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2015024/}
}
TY - JOUR AU - Quilliot, Alain AU - Rebaine, Djamal TI - Linear time algorithms to solve the linear ordering problem for oriented tree based graphs JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2016 SP - 315 EP - 325 VL - 50 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2015024/ DO - 10.1051/ro/2015024 LA - en ID - RO_2016__50_2_315_0 ER -
%0 Journal Article %A Quilliot, Alain %A Rebaine, Djamal %T Linear time algorithms to solve the linear ordering problem for oriented tree based graphs %J RAIRO - Operations Research - Recherche Opérationnelle %D 2016 %P 315-325 %V 50 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2015024/ %R 10.1051/ro/2015024 %G en %F RO_2016__50_2_315_0
Quilliot, Alain; Rebaine, Djamal. Linear time algorithms to solve the linear ordering problem for oriented tree based graphs. RAIRO - Operations Research - Recherche Opérationnelle, Special issue: Research on Optimization and Graph Theory dedicated to COSI 2013 / Special issue: Recent Advances in Operations Research in Computational Biology, Bioinformatics and Medicine, Tome 50 (2016) no. 2, pp. 315-325. doi : 10.1051/ro/2015024. http://www.numdam.org/articles/10.1051/ro/2015024/
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