On NP-hardness of the clique partition : independence number gap recognition and related problems

We show that for a graph G it is NP-hard to decide whether its independence number α(G) equals its clique partition number ¯χ(G) even when some minimum clique partition of G is given. This implies that any α(G)-upper bound provably better than ¯χ (G) is NP-hard to compute. To establish this result w...

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Bibliographic Details
Main Authors: Busygin, Stanislav., Pasechnik, Dmitrii V.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2012
Subjects:
Online Access:https://hdl.handle.net/10356/80117
http://hdl.handle.net/10220/8272
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Institution: Nanyang Technological University
Language: English

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