In this paper we study several related problems of finding optimal interval and circular-arc covering. Subscription will auto renew annually.Over 10 million scientific documents at your fingertips Covering a set of points in multidimensional space.
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3 0 obj We do this by sorting the intervals by their right endpoint, and then iterateing over the list of intervals from left to right. Hwang, R. Z., Lee, R. C. T., & Chang, R. C. (1993). (1980).
This problem is known to be NP-complete for chordal graphs when i is part of the input. Cohen, R., Gonen, M. On interval and circular-arc covering problems. In Chakrabarty, D., Grant, E., & Köenemann, J.
Even the interval with leftmost end point must overlap with the interval right most start point. (1986). Since the requirement is to cover all intervals by reaching a point, all intervals must a share a point for answer to exist. First, we find right most start point and left most end point from all intervals. Hochbaum, D. S., & Shmoys, D. B. Actually, the application of interval-covering problems can be easily found in real-life. Algorithmic construction of sets for Bar-Ilan, J., & Peleg, D. (1991). Worst-case and probabilistic analysis of algorithms for a location problem.
In Chan, T. (1999). Chen, D. Z., & Wang, H. (2011). In Even, G., Rawitz, D., & Shahar, S. (2005).
In Vercellis, C. (1984). Plesník, J. ��LnA����#�yX{b�;yF��O7�Iov��֯�z�����n���u�`n��i`��$���*c8����;����wS�Me��s=�W�a���D��q��#��0e���l"���36ǩ_z�j��m�S왛y���y��Y�(h��S ��s?�62FTm��j��i�v��`R�#a��!��\�?���|���ذ'�Դn*�QfT�[?u�۾�#�s/���˵� b�(��c\ܮ���֍\v�T\�H�7( <>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 595.2 841.8] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> Gonzalez, T. F. (1991). Hochbaum, Dorit S., & Levin, Asaf. Thanks. Raz, R., & Safra, S. (1997). Cornuejols, G., Nemhauser, G. L., & Wolsey, L. A. Clustering heuristics for set covering. An ideal answer would include citations to relevant publications (articles or texts). On column-restricted and priority covering integer programs. 4 0 obj
Exact and approximation algorithms for clustering. On the complexity of some geometric problems in unbounded dimension. Science and Technology of Israel.Department of Mathematics, Bar-Ilan University, 52900, Ramat Gan, IsraelDepartment of Computer Science, Ariel University, Ariel, IsraelYou can also search for this author in endobj
Hitting sets when the VC-dimension is small. In Alon, N., Moshkovitz, D., & Safra, S. (April 2006). Request PDF | The Packed Interval Covering Problem is NP-complete | We introduce a new decision problem, called Packed Interval Covering (PIC) and show that it is NP-complete. In Renata, K., & KwateraBruno, S. (1993). We present solutions to the maximum Immediate online access to all issues from 2019. Fowler, R., Paterson, M., & Tanimoto, S. (1981). <> directive in the Interval-covering Problem is to cover as many areas as possible with as few covers as possible. HallRakesh, N. G., & Vohra, V. (1993). A cover here is defined as anything that can extend over the area or has a covering radius/distance over some area. <>>>
The interval covering problem has an input consisting of several intervals along a line. Approximation algorithms for maximum coverage and max cut with given sizes of parts. (1980).
(1999). Improved results on geometric hitting set problems.
The maximum reliability location problem and Slavik, P. (May 1995).