By Hee-Kap Ahn, Chan-Su Shin

ISBN-10: 3319130749

ISBN-13: 9783319130743

ISBN-10: 3319130757

ISBN-13: 9783319130750

This booklet constitutes the refereed complaints of the twenty fifth overseas Symposium on Algorithms and Computation, ISAAC 2014, held in Jeonju, Korea, in December 2014.

The 60 revised complete papers offered including 2 invited talks have been rigorously reviewed and chosen from 171 submissions for inclusion within the ebook. the point of interest of the quantity in at the following issues: computational geometry, combinatorial optimization, graph algorithms: enumeration, matching and task, facts buildings and algorithms, fixed-parameter tractable algorithms, scheduling algorithms, computational complexity, computational complexity, approximation algorithms, graph conception and algorithms, on-line and approximation algorithms, and community and scheduling algorithms.

**Read or Download Algorithms and Computation: 25th International Symposium, ISAAC 2014, Jeonju, Korea, December 15-17, 2014, Proceedings PDF**

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**Additional info for Algorithms and Computation: 25th International Symposium, ISAAC 2014, Jeonju, Korea, December 15-17, 2014, Proceedings**

**Example text**

We must have c = c: otherwise c is in the forbidden region of Δ. But then c is in the forbidden region of Δ, which is a contradiction. Hence, there are only two important triangles and thus |T (U )| ≤ 2 by Lemma 3. Proposition 2. If there is a vertex v ∗ that is common to all important triangles in U , then |T (U )| ≤ |V | − 1. Proof. For every important triangle v ∗ uw we know that u and w must be consecutive in U (v ∗ ). Since there are only |V | − 1 consecutive pairs in U (v ∗ ), the proposition follows immediately by Lemma 3.

Using a robot to learn geometric information from permutations of landmarks. Contemporary Mathematics 438, 33–45 (2007) 10. : Point and line segment reconstruction from visibility information. Int. J. Comput. Geometry Appl. 10(2), 189–200 (2000) 11. : Reconstructing a simple polygon from its angles. In: Kaplan, H. ) SWAT 2010. LNCS, vol. 6139, pp. 13–24. Springer, Heidelberg (2010) 12. : An improved algorithm for reconstructing a simple polygon from its visibility angles. Comput. Geom. 45(5–6), 254–257 (2012) 13.

We claim that the supporting line xy of two vertices x and y in a light green region in Figure 5(a) must separate the other two green regions. Note that this holds trivially if one of x and y is a or a . Otherwise, suppose without loss of generality that x and y are in the light green region incident to a, that a clockwise sweep from c to b around a encounters x before y, that xy does not intersect c b and that c is below xy. See Figure 5(c). Looking at the order type where a b c forms the outer face (Figure 5(d)), we see that U (a ) and U ( b) force y to be in region R1 .

### Algorithms and Computation: 25th International Symposium, ISAAC 2014, Jeonju, Korea, December 15-17, 2014, Proceedings by Hee-Kap Ahn, Chan-Su Shin

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