By John E. Hopcroft (auth.), Kun-Mao Chao, Tsan-sheng Hsu, Der-Tsai Lee (eds.)
This ebook constitutes the refereed lawsuits 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 offered including 3 invited talks have been conscientiously reviewed and chosen from 174 submissions for inclusion within the e-book. This quantity includes subject matters similar to graph algorithms; on-line and streaming algorithms; combinatorial optimization; computational complexity; computational geometry; string algorithms; approximation algorithms; graph drawing; facts buildings; randomized algorithms; and algorithmic video game theory.
Read 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
A. Golovach, D. Paulusma, and J. Song List 4-Coloring for P6 -Free Graphs To prove that List 4-Coloring is NP-complete for P6 -free graphs we reduce from Not-All-Equal 3-Satisfiability with positive literals. From an arbitrary instance I of Not-All-Equal 3-Satisfiability with variables x1 , x2 , . . , xn and clauses C1 , C2 , . . , Cm that contain positive literals only, we build a graph GI with a 4-list assignment L. Next we show that GI is P6 -free and that GI has a coloring that respects L if and only if I has a satisfying truth assignment in which each clause contains at least one true and at least one false literal.
Reconﬁguration of List L(2, 1)-Labelings in a Graph 37 We ﬁnally remark that NP-hardness of the original problem does not imply computational hardness of its reconﬁguration problem. It is interesting that klist L(2, 1)-labeling reconfiguration is solvable in linear time for k ≤ 4, although k-L(2, 1)-labeling is NP-complete already for k = 4 . Due to the page limitation, we omit proofs from this extended abstract. 2 Deﬁnitions In this section, we deﬁne some terms which will be used throughout the paper.
Bonsma and Cereceda  showed that sliding tokens remains PSPACEcomplete even for very restricted graphs and token conﬁgurations. 2(a). Token triangles and token edges are all mutually disjoint, and joined together by edges called link edges. Moreover, each vertex in a token triangle is of degree exactly 3, and Gs has a planar embedding such that every token triangle forms a face. The maximum degree of Gs is 3. We say that a token conﬁguration T of Gs is standard if each of token triangles and token edges contains exactly one token (vertex) in T .