By Mohammad Ghodsi, Anil Maheshwari, Mostafa Nouri (auth.), Fedor V. Fomin, Petteri Kaski (eds.)
This booklet constitutes the refereed complaints of the thirteenth overseas Scandinavian Symposium and Workshops on set of rules concept, SWAT 2012, held in Helsinki, Finland, in July 2012, co-located with the twenty third Annual Symposium on Combinatorial development Matching, CPM 2012. The 34 papers have been conscientiously reviewed and chosen from a complete of 127 submissions. The papers current unique learn and canopy a variety of issues within the box of layout and research of algorithms and information structures.
Read or Download Algorithm Theory – SWAT 2012: 13th Scandinavian Symposium and Workshops, Helsinki, Finland, July 4-6, 2012. Proceedings PDF
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Extra resources for Algorithm Theory – SWAT 2012: 13th Scandinavian Symposium and Workshops, Helsinki, Finland, July 4-6, 2012. Proceedings
The goal is to ﬁnd a minimum-length cyclic sequence C = (v1 , . . , vh , v1 ), in convex position, whose vertices are in V (A(L)), such that every line ∈ L intersects the convex polygon Q = v1 , . . , vh ; recall that the length of (v1 , . . , vh , v1 ) is deﬁned as h i=1 |π(vi , vi+1 )|, with vh+1 = v1 . First, we handle the trivial cases h = 1, 2. It may be that Q is a single point (h = 1), a vertex of A(L); this is trivial to check, since this happens only if all lines of L pass through one point.
For polygons with holes the problem is NP-hard [3,7]. An O(log n)-approximation algorithm for the special case of orthogonal polygons (and orthogonal visibility) has been reported in . No approximation algorithms are known for the general watchman route problem in polygons with holes. V. Fomin and P. ): SWAT 2012, LNCS 7357, pp. 36–47, 2012. c Springer-Verlag Berlin Heidelberg 2012 Watchman Routes for Lines and Segments 37 In this paper, we study a natural special case of the watchman route problem in polygons with holes.
Springer, Heidelberg (2005) 11. : Approximation schemes for covering and packing problems in image processing and VLSI. J. ACM 32, 130–136 (1985) 12. : NC-approximation schemes for NP- and PSPACE-hard problems for geometric graphs. J. Algorithms 26, 238–274 (1998) 13. : Broadcast scheduling algorithms for radio networks. In: Proc. IEEE MILCOM 1995, pp. 647–651 (1995) 14. : Knapsack Problems. Springer (2004) 15. : The Budgeted Unique Coverage Problem and Color-Coding. W. ) CSR 2009. LNCS, vol. 5675, pp.
Algorithm Theory – SWAT 2012: 13th Scandinavian Symposium and Workshops, Helsinki, Finland, July 4-6, 2012. Proceedings by Mohammad Ghodsi, Anil Maheshwari, Mostafa Nouri (auth.), Fedor V. Fomin, Petteri Kaski (eds.)