All reports by Author Stanislav Busygin:

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TR03-052
| 13th May 2003
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Stanislav Busygin, Dmitrii V. Pasechnik#### On ~chi(G)-alpha(G)>0 gap recognition and alpha(G)-upper bounds

Stanislav Busygin, Dmitrii V. Pasechnik

We show that for a graph G it is NP-hard to decide whether its independence number alpha(G) equals its clique partition number ~chi(G) even when some minimum clique partition of G is given. This implies that any alpha(G)-upper bound provably better than ~chi(G) is NP-hard to compute.

To establish this ... more >>>