We present an O(nN) time and O(n2) space algorithm for finding a maximum weight independent set of a circle (or overlap) graph of n chords (or intervals) on N endpoints, based on an alternative definition of such graphs. The results improve on the best previously known algorithms for this case.
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Olivier GOLDSCHMIDT, Alexan TAKVORIAN, "An Efficient Algorithm for Finding a Maximum Weight Independent Set of a Circle Graph" in IEICE TRANSACTIONS on Fundamentals,
vol. E77-A, no. 10, pp. 1672-1674, October 1994, doi: .
Abstract: We present an O(nN) time and O(n2) space algorithm for finding a maximum weight independent set of a circle (or overlap) graph of n chords (or intervals) on N endpoints, based on an alternative definition of such graphs. The results improve on the best previously known algorithms for this case.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_10_1672/_p
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@ARTICLE{e77-a_10_1672,
author={Olivier GOLDSCHMIDT, Alexan TAKVORIAN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Efficient Algorithm for Finding a Maximum Weight Independent Set of a Circle Graph},
year={1994},
volume={E77-A},
number={10},
pages={1672-1674},
abstract={We present an O(nN) time and O(n2) space algorithm for finding a maximum weight independent set of a circle (or overlap) graph of n chords (or intervals) on N endpoints, based on an alternative definition of such graphs. The results improve on the best previously known algorithms for this case.},
keywords={},
doi={},
ISSN={},
month={October},}
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TY - JOUR
TI - An Efficient Algorithm for Finding a Maximum Weight Independent Set of a Circle Graph
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1672
EP - 1674
AU - Olivier GOLDSCHMIDT
AU - Alexan TAKVORIAN
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 10
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - October 1994
AB - We present an O(nN) time and O(n2) space algorithm for finding a maximum weight independent set of a circle (or overlap) graph of n chords (or intervals) on N endpoints, based on an alternative definition of such graphs. The results improve on the best previously known algorithms for this case.
ER -