The 0-1 inverse maximum independent set problem on forests and unicyclic graphs
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作者:
Liu, Shuaifu
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机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
Liu, Shuaifu
[1
]
Zhang, Zhao
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Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
Zhang, Zhao
[2
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机构:
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
[2] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Zhejiang, Peoples R China
Given a graph G and an independent set S of G, the 0-1 inverse maximum independent set problem (IMIS0,1) is to delete as few vertices as possible such that S becomes a maximum independent set of G. It is known that IMIS0,1 is NP-hard even when the given independent set has a bounded size. In this paper, we present linear-time algorithms for IMIS0,1 on forests and unicyclic graphs.
机构:
CNRS, LAMSADE, UMR 7243, F-75700 Paris, France
Univ Paris 09, PSL, F-75775 Paris 16, FranceUniv Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England
Monnot, Jerome
Ries, Bernard
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机构:
CNRS, LAMSADE, UMR 7243, F-75700 Paris, France
Univ Paris 09, PSL, F-75775 Paris 16, FranceUniv Warwick, DIMAP, Coventry CV4 7AL, W Midlands, England