{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T23:13:31Z","timestamp":1725578011145},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642190933"},{"type":"electronic","value":"9783642190940"}],"license":[{"start":{"date-parts":[[2011,1,1]],"date-time":"2011-01-01T00:00:00Z","timestamp":1293840000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-19094-0_15","type":"book-chapter","created":{"date-parts":[[2011,2,10]],"date-time":"2011-02-10T06:21:40Z","timestamp":1297318900000},"page":"134-145","source":"Crossref","is-referenced-by-count":3,"title":["Multi Cover of a Polygon Minimizing the Sum of Areas"],"prefix":"10.1007","author":[{"given":"A. Karim","family":"Abu-Affash","sequence":"first","affiliation":[]},{"given":"Paz","family":"Carmi","sequence":"additional","affiliation":[]},{"given":"Matthew J.","family":"Katz","sequence":"additional","affiliation":[]},{"given":"Gila","family":"Morgenstern","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"3","key":"15_CR1","doi-asserted-by":"publisher","first-page":"654","DOI":"10.1137\/S0097539795281840","volume":"27","author":"P.K. Agarwal","year":"1998","unstructured":"Agarwal, P.K., de Berg, M., Matousek, J., Schwarzkopf, O.: Constructing levels in arrangements and higher order Voronoi diagrams. SIAM Journal on Computing\u00a027(3), 654\u2013667 (1998)","journal-title":"SIAM Journal on Computing"},{"key":"15_CR2","doi-asserted-by":"crossref","unstructured":"Alt, H., Arkin, E.M., Br\u00f6nnimann, H., Erickson, J., Fekete, S., Knauer, C., Lenchner, J., Mitchell, J.S.B., Whittlesey, K.: Mininum-cost coverage of point sets by disks. In: Proceedings of the 22nd Annual Symposium on Computational Geometry (SCG 2006), pp. 449\u2013458 (2006)","DOI":"10.1145\/1137856.1137922"},{"key":"15_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-77974-2","volume-title":"Computational Geometry: Algorithms and Applications","author":"M. Berg de","year":"2008","unstructured":"de Berg, M., Cheong, O., van Kreveld, M., Overmars, M.: Computational Geometry: Algorithms and Applications, 3rd edn. Springer, Heidelberg (2008)","edition":"3"},{"key":"15_CR4","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"460","DOI":"10.1007\/11561071_42","volume-title":"Algorithms \u2013 ESA 2005","author":"V. Bil\u00f2","year":"2005","unstructured":"Bil\u00f2, V., Caragiannis, I., Kaklamanis, C., Kanellopoulos, P.: Geometric clustering to minimize the sum of cluster sizes. In: Brodal, G.S., Leonardi, S. (eds.) ESA 2005. LNCS, vol.\u00a03669, pp. 460\u2013471. Springer, Heidelberg (2005)"},{"key":"15_CR5","doi-asserted-by":"crossref","unstructured":"Chan, T.M.: A dynamic data structure for 3-d convex hulls and 2-d nearest neighbor queries. In: Proceedings of the 17th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2006), pp. 1196\u20131202 (2006)","DOI":"10.1145\/1109557.1109689"},{"issue":"2","key":"15_CR6","doi-asserted-by":"publisher","first-page":"417","DOI":"10.1016\/j.jcss.2003.07.014","volume":"68","author":"M. Charikar","year":"2004","unstructured":"Charikar, M., Panigrahy, R.: Clustering to minimize the sum of cluster diameters. Journal of Computer and Systems Science\u00a068(2), 417\u2013441 (2004)","journal-title":"Journal of Computer and Systems Science"},{"issue":"1","key":"15_CR7","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1007\/BF01377183","volume":"12","author":"B. Chazelle","year":"1994","unstructured":"Chazelle, B., Edelsbrunner, H., Grigni, M., Guibas, L.J., Hershberger, J., Sharir, M., Snoeyink, J.: Ray shooting in polygons using geodesic triangulations. Algorithmica\u00a012(1), 54\u201368 (1994)","journal-title":"Algorithmica"},{"key":"15_CR8","doi-asserted-by":"crossref","unstructured":"Chekuri, C., Clarkson, K.L., Har-Peled, S.: On the set multi-cover problem in geometric settings. In: Proceedings of the 25th Annual Symposium on Computational Geometry (SCG 2009), pp. 341\u2013350 (2009)","DOI":"10.1145\/1542362.1542421"},{"issue":"3","key":"15_CR9","first-page":"185","volume":"7","author":"S.R. Doddi","year":"2000","unstructured":"Doddi, S.R., Marathe, M.V., Ravi, S.S., Taylor, D.S., Widmayer, P.: Approximation algorithms for clustering to minimize the sum of diameters. Nordic Journal of Computing\u00a07(3), 185\u2013203 (2000)","journal-title":"Nordic Journal of Computing"},{"key":"15_CR10","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1007\/978-3-540-24592-6_11","volume-title":"Approximation and Online Algorithms","author":"A. Freund","year":"2004","unstructured":"Freund, A., Rawitz, D.: Combinatorial interpretations of dual fitting and primal fitting. In: Solis-Oba, R., Jansen, K. (eds.) WAOA 2003. LNCS, vol.\u00a02909, pp. 137\u2013150. Springer, Heidelberg (2004)"},{"key":"15_CR11","unstructured":"Gibson, M., Kanade, G., Krohn, E., Pirwani, I.A., Varadarajan, K.: On clustering to minimize the sum of radii. In: Proceedings of the 19th Annual ACM-SIAM Symposium on Discrete Algorithms (SODA 2008), pp. 819\u2013825 (2008)"},{"issue":"3","key":"15_CR12","doi-asserted-by":"publisher","first-page":"484","DOI":"10.1007\/s00453-009-9282-7","volume":"57","author":"M. Gibson","year":"2010","unstructured":"Gibson, M., Kanade, G., Krohn, E., Pirwani, I.A., Varadarajan, K.: On metric clustering to minimize the sum of radii. Algorithmica\u00a057(3), 484\u2013498 (2010)","journal-title":"Algorithmica"},{"key":"15_CR13","unstructured":"Har-Peled, S., Lee, M.: Weighted geometric set cover problems revisited. Unpublished manuscript (December 2008)"},{"issue":"4","key":"15_CR14","doi-asserted-by":"publisher","first-page":"489","DOI":"10.1016\/j.comnet.2004.08.012","volume":"47","author":"N. Lev-Tov","year":"2005","unstructured":"Lev-Tov, N., Peleg, D.: Polynomial time approximation schemes for base station coverage with minimum total radii. Computer Networks\u00a047(4), 489\u2013501 (2005)","journal-title":"Computer Networks"},{"issue":"5","key":"15_CR15","doi-asserted-by":"publisher","first-page":"960","DOI":"10.1145\/185675.306789","volume":"41","author":"C. Lund","year":"1994","unstructured":"Lund, C., Yannakakis, M.: On the hardness of approximating minimization problems. Journal of the ACM\u00a041(5), 960\u2013981 (1994)","journal-title":"Journal of the ACM"}],"container-title":["Lecture Notes in Computer Science","WALCOM: Algorithms and Computation"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-19094-0_15","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,8]],"date-time":"2019-06-08T12:47:54Z","timestamp":1559998074000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-19094-0_15"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642190933","9783642190940"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-19094-0_15","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2011]]}}}