By Alberto Pardo, Alfredo Viola
This ebook constitutes the refereed complaints of the eleventh Latin American Symposium on Theoretical Informatics, LATIN 2014, held in Montevideo, Uruguay, in March/April 2014. The sixty five papers provided including five abstracts have been rigorously reviewed and chosen from 192 submissions. The papers tackle a number of subject matters in theoretical computing device technological know-how with a undeniable specialize in complexity, computational geometry, graph drawing, automata, computability, algorithms on graphs, algorithms, random constructions, complexity on graphs, analytic combinatorics, analytic and enumerative combinatorics, approximation algorithms, research of algorithms, computational algebra, functions to bioinformatics, finances difficulties and algorithms and information structures.
Read or Download LATIN 2014: Theoretical Informatics: 11th Latin American Symposium, Montevideo, Uruguay, March 31–April 4, 2014. Proceedings PDF
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Extra info for LATIN 2014: Theoretical Informatics: 11th Latin American Symposium, Montevideo, Uruguay, March 31–April 4, 2014. Proceedings
The paper is organized as follows. In Section 2, we show that 2-clique-colouring is still Σ2P -complete for weakly chordal graphs. We then determine a hierarchy of nested subclasses of weakly chordal graphs whereby each graph class is in a distinct complexity class, namely Σ2P -complete, N P-complete, and P. In Section 3, we determine the complexity of 2-clique-colouring of perfect graphs with all cliques having size at least 3, answering a question of Kratochv´ıl and Tuza . We then determine a hierarchy of nested subclasses of perfect graphs with all cliques having size at least 3 whereby each graph class is in a distinct complexity class.
Bottomup in the directed acyclic graph by induction: Θ(∅) = 0, Θ(P ) = 2Σ(ΛP ) for a node P , and Θ(M ) = P M (P )Θ(P ) for a marking M . Note that leaves evaluate to 1, the evaluation of a marking is a real number, and the evaluation of a node P is a positive real number. Thus, Θ(P ) and Θ(M ) are well-defined. We have Θ(ΛP ) = log2 (Θ(P )), thus the successor marking plays the role of a logarithm. We are interested only in power circuits where all markings evaluate to integers; equivalently all nodes evaluate to some positive natural number in 2N .
K γk γ0 β1 γ1 . . βi−1 γi−1 for some 1 ≤ i ≤ k. Clearly, z ⊕G1,2 z ∨ in this case. Throughout we identify a power c−δ with cδ for letters c and σ ∈ N. Britton Reductions. A Britton reduction considers some factor βγβ with γ ∈ ∗ a, a, t, t . There are two cases. First, if β = b and γ = aδ in H for some σ ∈ Z then the factor bγb is replaced by tδ . Second, if β = b and γ = tδ in H for some σ ∈ Z then the factor bγb is replaced by aδ . At most |z|Θ Britton reduction are possible on a word z. Be aware!
LATIN 2014: Theoretical Informatics: 11th Latin American Symposium, Montevideo, Uruguay, March 31–April 4, 2014. Proceedings by Alberto Pardo, Alfredo Viola