By Hee-Kap Ahn, Chan-Su Shin
This e-book constitutes the refereed court cases of the twenty fifth foreign Symposium on Algorithms and Computation, ISAAC 2014, held in Jeonju, Korea, in December 2014.
The 60 revised complete papers awarded including 2 invited talks have been rigorously reviewed and chosen from 171 submissions for inclusion within the e-book. the point of interest of the amount in at the following themes: computational geometry, combinatorial optimization, graph algorithms: enumeration, matching and task, info 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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Extra info for Algorithms and Computation: 25th International Symposium, ISAAC 2014, Jeonju, Korea, December 15-17, 2014, Proceedings
Referring again to Figure 4(b), we see that there is one vertex with no incident green edges, two vertices with one incident green edge and two vertices with two incident green edges. Without loss of generality, we may assume that the vertex with no incident green edges is vertex a and the vertices with one incident green edge are b and c. This leaves the two labeled order types shown in Figure 4(d-e), which are easily distinguished by the green neighbor of vertex b. Figure 2(a)-2(b) show that (ii) does not always hold for triangular convex hulls.
Fitting a step function to a point set. Algorithmica 60(1), 95–109 (2011) 15. : Optimal packing and covering in the plane are NP-complete. Information Processing Letters 12, 133–137 (1981) 16. : Optimal algorithms for tree partitioning. In: Proc. of the 2nd Annual Symposium of Discrete Algorithms, SODA, pp. 168–177 (1991) 17. : Eﬃcient algorithms for interval graphs and circulararc graphs. Networks 12, 459–467 (1982) 18. : Improved complexity bounds for location problems on the real line. Operations Research Letters 10, 395–402 (1991) 19.
Similar to Lemma 1, if is a feasible value, then there exists a feasible solution in which each facility serves a set of consecutive points of P . Using this observation, our algorithm works as follows. We consider the intervals of I(P, ) from I(p1 , ) in the index order of pi . We ﬁnd the largest index j such that j i=1 I(pi , ) is not empty, and then we place a facility at any point in the above intersection to serve all points in P (1, j). Next, from I(pj+1 , ), we ﬁnd the next maximal subset of intervals whose intersection is not empty to place a facility.