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

ISBN-10: 364235260X

ISBN-13: 9783642352607

ISBN-10: 3642352618

ISBN-13: 9783642352614

This ebook constitutes the refereed complaints of the twenty third foreign 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 ebook. This quantity comprises themes corresponding to graph algorithms; on-line and streaming algorithms; combinatorial optimization; computational complexity; computational geometry; string algorithms; approximation algorithms; graph drawing; info buildings; randomized algorithms; and algorithmic online game theory.

**Read Online or Download Algorithms and Computation: 23rd International Symposium, ISAAC 2012, Taipei, Taiwan, December 19-21, 2012. Proceedings PDF**

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

**Example text**

In Table 1 we indicate this result in bold. ” in Table 1 are still open. 2 Classifying Precoloring Extension and 3-List Coloring The following well-known lemma (cf. [1]) is obtained by modeling the List Coloring problem on n-vertex complete graphs with a k-list assignment as a maximum matching problem for an (n + k)-vertex bipartite graph; as such we may apply the Hopcroft-Karp algorithm [7] to obtain the bound on the running time. 5 Lemma 1. List Coloring can be solved in O((n + k) 2 ) time on n-vertex complete graphs with a k-list assignment.

Given two k-list labelings f0 and ft of a graph G, the k-list L(2, 1)-labeling reconfiguration problem is to determine whether f0 and ft are connected. We call the problem simply k-L(2, 1)-labeling reconfiguration if C(v) = [0, k] for all vertices v of G. For a reconﬁguration sequence between two k-list labelings, its length is deﬁned as the number of k-list labelings contained in the reconﬁguration sequence. For a graph G, we denote by V (G) and E(G) the vertex set and edge set of G, respectively.

582–589 (2004) 4. : Very rapid mixing of the Glauber dynamics for proper colorings on bounded-degree graphs. Random Structure and Algorithms 20(1), 98–114 (2002) 5. : On randomly colouring locally sparse graphs. Discrete Mathematics and Theoretical Computer Science 8(1), 121–128 (2006) 6. : A survey on the use of Markov chains to randomly sample colorings. , McDiarmid, C. ) Combinatorics, Complexity, and Chance — A Tribute to Dominic Welsh, ch. 4. Oxford University Press (2007) 7. : A non-Markovian coupling for randomly sampling colorings.

### Algorithms and Computation: 23rd International Symposium, ISAAC 2012, Taipei, Taiwan, December 19-21, 2012. Proceedings by John E. Hopcroft (auth.), Kun-Mao Chao, Tsan-sheng Hsu, Der-Tsai Lee (eds.)

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