Algorithms and Computation: 23rd International Symposium, by John E. Hopcroft (auth.), Kun-Mao Chao, Tsan-sheng Hsu,

By John E. Hopcroft (auth.), Kun-Mao Chao, Tsan-sheng Hsu, Der-Tsai Lee (eds.)

This booklet constitutes the refereed complaints of the twenty third overseas Symposium on Algorithms and Computation, ISAAC 2012, held in Taipei, Taiwan, in December 2012. The sixty eight revised complete papers awarded including 3 invited talks have been conscientiously reviewed and chosen from 174 submissions for inclusion within the booklet. This quantity comprises issues resembling graph algorithms; on-line and streaming algorithms; combinatorial optimization; computational complexity; computational geometry; string algorithms; approximation algorithms; graph drawing; facts constructions; randomized algorithms; and algorithmic online game theory.

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Algorithms and Computation: 23rd International Symposium, ISAAC 2012, Taipei, Taiwan, December 19-21, 2012. Proceedings

This publication constitutes the refereed court cases of the twenty third overseas Symposium on Algorithms and Computation, ISAAC 2012, held in Taipei, Taiwan, in December 2012. The sixty eight revised complete papers awarded including 3 invited talks have been rigorously reviewed and chosen from 174 submissions for inclusion within the publication.

Additional resources for Algorithms and Computation: 23rd International Symposium, ISAAC 2012, Taipei, Taiwan, December 19-21, 2012. Proceedings

Example text

Then every vertex of V (G)\{u, v} is adjacent to at least one of {u, v}. This means that we can remove u, v if they are both colored alike by cW in order to obtain a new instance (G− {u, v}, k − 1, cW \{u,v}) that is a yes-instance of Precoloring Extension if and only if (G, k, cW ) is a yes-instance. If u and v are colored differently by cW , then we add an edge between them. We perform this step for any pair of non-adjacent vertices in W . Afterward, we have found in polynomial time a new instance (G∗ , k ∗ , cW ∗ ) with the following properties.

STOC 1978, pp. 216–226 (1978) 19. : 3-Colouring AT-free graphs in polynomial time. Algorithmica 64, 384– 399 (2012) 20. : Graph colorings with local restrictions - a survey. Discuss. Math. Graph Theory 17, 161–228 (1997) 21. : Coloring the vertices of a graph in prescribed colors. Diskret. , no. 29, Metody Diskret. Anal. v. tw Abstract. Let G be an n-node graph with maximum degree Δ. The Glauber dynamics for G, defined by Jerrum, is a Markov chain over the k-colorings of G. Many classes of G on which the Glauber dynamics mixes rapidly have been identified.

Some results concerning the complexity of restricted colorings of graphs. Discrete Applied Mathematics 36, 35–46 (1992) 15. : Precoloring extension on unit interval graphs. Discrete Applied Mathematics 154, 995–1002 (2006) 16. : 3-Colorability ∈ P for P6 -free graphs. Discrete Appl. Math. 136, 299–313 (2004) 17. : Vertex colouring and forbidden subgraphs - a survey. Graphs Combin. 20, 1–40 (2004) 18. : The complexity of satisfiability problems. In: Proc. STOC 1978, pp. 216–226 (1978) 19. : 3-Colouring AT-free graphs in polynomial time.

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