By Manuel Blum (auth.), My T. Thai, Sartaj Sahni (eds.)

ISBN-10: 3642140300

ISBN-13: 9783642140303

This publication constitutes the lawsuits of the sixteenth Annual overseas convention on Computing and Combinatorics, held in Nha Trang, Vietnam, in July 2010.

**Read or Download Computing and Combinatorics: 16th Annual International Conference, COCOON 2010, Nha Trang, Vietnam, July 19-21, 2010. Proceedings PDF**

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**Sample text**

G)) Taking m = n (1−ω we get, 2000 qm ≤ 1 − ω ♦ (G) 1− 2 n(1−ω♦ (G)) 2000 ≤ 1− (1 − ω ♦ (G))2 4000 n Acknowledgement We would like to express my deepest gratitude to Oded Regev and Ran Raz for very valuable discussions on this subject and for their comments on the previous version of this paper. : On games of incomplete information. , Lengauer, T. ) STACS 1990. LNCS, vol. : Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. : Elements of information theory, 2nd edn.

7606k [22]. We show in this section that t-tvc is FPT parameterized by the solution size k, and give an O∗ ck time algorithm. Let G = (V, E) be the input graph. If |V | ≤ k, then we can solve the problem in polynomial time by checking if each component of G has at least t vertices. Also, deleting isolated vertices does not aﬀect the solution. Hence we assume without loss of generality that |V | > k, and that G has no isolated vertices. We start with a structural claim which is useful later. Claim 2.

We have to perform at most q ≤ n such multiplications to compute Q, and so given the Pi s we can compute Q in O n2 2n = O∗ (2n ) time. The running time of this √ √ algorithm is thus 2O( n) × (O∗ (2n ) + O∗ (2n )) = O∗ 2n+O( n) , and so we have: √ n) Theorem 4. t-total edge cover can be solved in O∗ 2n+O( where n is the number of vertices in the input graph. From this theorem and Corollary 1 we get: Theorem 5. t-tec can be solved in O∗ (2 t+1 t k+O √ ( k) time, ) time. , for constructing the lists Li ).

### Computing and Combinatorics: 16th Annual International Conference, COCOON 2010, Nha Trang, Vietnam, July 19-21, 2010. Proceedings by Manuel Blum (auth.), My T. Thai, Sartaj Sahni (eds.)

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