By Evangelos Kranakis, Gonzalo Navarro, Edgar Chávez

This booklet constitutes the refereed complaints of the twelfth Latin American Symposium on Theoretical Informatics, LATIN 2016, held in Ensenada, Mexico, in April 2016.

The fifty two papers offered including five abstracts have been rigorously reviewed and chosen from 131 submissions. The papers tackle quite a few themes in theoretical computing device technology with a undeniable concentrate on algorithms (approximation, on-line, randomized, algorithmic video game conception, etc.), analytic combinatorics and research of algorithms, automata concept and formal languages, coding thought and knowledge compression, combinatorial algorithms, combinatorial optimization, combinatorics and graph thought, complexity thought, computational algebra, computational biology, computational geometry, computational quantity concept, cryptology, databases and knowledge retrieval, info buildings, formal tools and protection, net and the internet, parallel and dispensed computing, development matching, programming language thought, and random structures.

**Read Online or Download LATIN 2016: Theoretical Informatics: 12th Latin American Symposium, Ensenada, Mexico, April 11-15, 2016, Proceedings PDF**

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74(7), 1188–1198 (2008) 4. : Parameterized Algorithms. Springer, Switzerland (2015) 5. : Graph Theory. Graduate Texts in Mathematics, vol. 173, 4th edn. Springer, Heidelberg (2012) 6. : Parameterized Complexity Theory. Texts in Theoretical Computer Science. An EATCS Series. Springer, New York (2006) 7. : Approximation, kernelization and optimal FPT algorithms. In: FOCS (2012) 8. : A unified approximation algorithm for node-deletion problems. Discrete Appl. Math. 86, 213–231 (1998) 9. : A characterization of ptolemaic graphs.

4 An Approximation Algorithm for BGVD In this section, we present a simple approximation algorithm A1 for BGVD. Given a graph G, we give a block vertex deletion set S of size at most 4 · OPT, where OPT is the size of a minimum sized block vertex deletion set for G. Proof (of Theorem 2). Let G be the given instance of BGVD and OPT be the size of a minimum sized block vertex deletion set for G and SOPT be a minimum sized block vertex deletion set for G. Let S be a maximal family of D4 and C4 such that any two members of S are pairwise disjoint.

Xl−1 , t and y be the ﬁrst vertex other than t in P such that (y, v) ∈ E(G). If y = t , then P along with v forms an induced cycle of length at least 5, contradicting that C ∪ {v} is a block graph. If y = x1 , then {t, x1 , x2 , v} either forms a D4 , the case when (x2 , v) ∈ E(G), or Pˆ = x1 , x2 , . . , t is a path of shorter length with at least 2 edges and by induction hypothesis has an obstruction along with v. Otherwise, P = t, x1 , . . , y is a path of length less than l, with at least 2 edges, such that (y, t) ∈ E(G).