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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Main Authors: | Busygin, Stanislav., Pasechnik, Dmitrii V. |
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Other Authors: | School of Physical and Mathematical Sciences |
Format: | Article |
Language: | English |
Published: |
2012
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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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