We improve the algorithm to obtain the min-cut graph of a hyper-graph and show an application to the sub-network extraction problem. The min-cut graph is a directed acyclic graph whose directed cuts correspond one-to-one to the min-cuts of the hyper-graph. While the known approach trades the exactness of the min-cut graph for some speed improvement, our proposed algorithm gives an exact one without substantial computation overhead. By using the exact min-cut graph, an exhaustive algorithm finds an optimal sub-circuit that is extracted by a min-cut from the circuit. By experiments with the industrial data, the proposing method showed a performance enough for practical use.
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Kengo R. AZEGAMI, Atsushi TAKAHASHI, Yoji KAJITANI, "An Efficient Algorithm to Extract an Optimal Sub-Circuit by the Minimum Cut" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 5, pp. 1301-1308, May 2001, doi: .
Abstract: We improve the algorithm to obtain the min-cut graph of a hyper-graph and show an application to the sub-network extraction problem. The min-cut graph is a directed acyclic graph whose directed cuts correspond one-to-one to the min-cuts of the hyper-graph. While the known approach trades the exactness of the min-cut graph for some speed improvement, our proposed algorithm gives an exact one without substantial computation overhead. By using the exact min-cut graph, an exhaustive algorithm finds an optimal sub-circuit that is extracted by a min-cut from the circuit. By experiments with the industrial data, the proposing method showed a performance enough for practical use.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_5_1301/_p
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@ARTICLE{e84-a_5_1301,
author={Kengo R. AZEGAMI, Atsushi TAKAHASHI, Yoji KAJITANI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={An Efficient Algorithm to Extract an Optimal Sub-Circuit by the Minimum Cut},
year={2001},
volume={E84-A},
number={5},
pages={1301-1308},
abstract={We improve the algorithm to obtain the min-cut graph of a hyper-graph and show an application to the sub-network extraction problem. The min-cut graph is a directed acyclic graph whose directed cuts correspond one-to-one to the min-cuts of the hyper-graph. While the known approach trades the exactness of the min-cut graph for some speed improvement, our proposed algorithm gives an exact one without substantial computation overhead. By using the exact min-cut graph, an exhaustive algorithm finds an optimal sub-circuit that is extracted by a min-cut from the circuit. By experiments with the industrial data, the proposing method showed a performance enough for practical use.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - An Efficient Algorithm to Extract an Optimal Sub-Circuit by the Minimum Cut
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1301
EP - 1308
AU - Kengo R. AZEGAMI
AU - Atsushi TAKAHASHI
AU - Yoji KAJITANI
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2001
AB - We improve the algorithm to obtain the min-cut graph of a hyper-graph and show an application to the sub-network extraction problem. The min-cut graph is a directed acyclic graph whose directed cuts correspond one-to-one to the min-cuts of the hyper-graph. While the known approach trades the exactness of the min-cut graph for some speed improvement, our proposed algorithm gives an exact one without substantial computation overhead. By using the exact min-cut graph, an exhaustive algorithm finds an optimal sub-circuit that is extracted by a min-cut from the circuit. By experiments with the industrial data, the proposing method showed a performance enough for practical use.
ER -