{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,2]],"date-time":"2025-06-02T06:47:38Z","timestamp":1748846858443},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2009,9,1]],"date-time":"2009-09-01T00:00:00Z","timestamp":1251763200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Math Sci"],"published-print":{"date-parts":[[2009,9]]},"DOI":"10.1007\/s10958-009-9610-0","type":"journal-article","created":{"date-parts":[[2009,9,3]],"date-time":"2009-09-03T02:30:49Z","timestamp":1251945049000},"page":"909-918","source":"Crossref","is-referenced-by-count":2,"title":["The embracing Voronoi diagram and closest embracing number"],"prefix":"10.1007","volume":"161","author":[{"given":"M.","family":"Abellanas","sequence":"first","affiliation":[]},{"given":"G.","family":"Hern\u00e1ndez","sequence":"additional","affiliation":[]},{"given":"A. L.","family":"Bajuelos","sequence":"additional","affiliation":[]},{"given":"I.","family":"Matos","sequence":"additional","affiliation":[]},{"given":"B.","family":"Palop","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,9,4]]},"reference":[{"key":"9610_CR1","unstructured":"M. Abellanas, A. Bajuelos, G. Hern\u00e1ndez, and I. Matos, \u201cGood illumination with limited visibility,\u201d In: Proc. of the International Conference of Numerical Analysis and Applied Mathematics, Wiley-VCH Verlag (2005), pp. 35\u201338."},{"key":"9610_CR2","unstructured":"M. Abellanas, A. Bajuelos, G. Hern\u00e1ndez, I. Matos, and B. Palop, \u201cMinimum illumination range voronoi diagrams,\u201d In: Proc. of the 2nd International Symposium on Voronoi Diagrams in Science and Engineering (2005), pp. 231\u2013238."},{"key":"9610_CR3","doi-asserted-by":"crossref","unstructured":"M. Abellanas, A. Bajuelos, and I. Matos, \u201cSome problems related to good illumination,\u201d In: O. Gervasi and M. Gavrilova (eds): Proc. of ICCSA 2007, LNCS 4705, Springer-Verlag (2007), pp. 1\u201314.","DOI":"10.1007\/978-3-540-74472-6_1"},{"key":"9610_CR4","first-page":"236","volume-title":"Buena Iluminaci\u00f3n","author":"M Abellanas","year":"2004","unstructured":"M. Abellanas, S. Canales, and G. Hern\u00e1ndez, Buena Iluminaci\u00f3n, Actas de las IV Jornadas de Matematica Discreta y Algor\u00edtmica, Madrid 2004, pp. 236\u2013246."},{"key":"9610_CR5","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1016\/B978-044482537-7\/50020-6","volume-title":"Handbook of Computational Geometry","author":"T Asano","year":"2000","unstructured":"T. Asano, S. K. Ghosh, and T. C. Shermer, \u201cVisibility in the plane,\u201d In: J.-R. Sack and J. Urrutia (eds.): Handbook of Computational Geometry, Elsevier, Amsterdam (2000), pp. 829\u2013876."},{"key":"9610_CR6","unstructured":"S. Canales, \u201cM\u00e9todos Heur\u00edsticos en problemas geom\u00e9tricos,\u201d Visibilidad, Iluminaci\u00f3n y Vigilancia, PhD Thesis, Universidad Polit\u00e9cnica de Madrid, (2004)."},{"issue":"4","key":"9610_CR7","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1007\/s10878-006-8459-0","volume":"11","author":"MY Chan","year":"2006","unstructured":"M. Y. Chan, D. Chen, F. Y. L. Chin, and C. A. Wang, \u201cConstruction of the nearest neighbor embracing graph of a point set,\u201d J. Comb. Optim., 11, No. 4, 435\u2013443 (2006).","journal-title":"J. Comb. Optim."},{"issue":"1","key":"9610_CR8","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1239\/aap\/1046366098","volume":"35","author":"SN Chiu","year":"2003","unstructured":"S. N. Chiu and I. S. Molchanov, \u201cA new graph related to the directions of nearest neighbors in a point process,\u201d Adv. Appl. Probab., 35, No. 1, 47\u201355 (2003).","journal-title":"Adv. Appl. Probab."},{"key":"9610_CR9","doi-asserted-by":"crossref","unstructured":"H. Edelsbrunner, \u201cAlgorithms in combinatorial geometry,\u201d Edited by W. Brauer, G. Rozenberg, and A. Salomaa, Springer-Verlag, New York Inc. (1987).","DOI":"10.1007\/978-3-642-61568-9"},{"key":"9610_CR10","first-page":"714","volume":"1","author":"A Efrat","year":"2005","unstructured":"A. Efrat, S. Har-Peled, and J. S. B. Mitchell, \u201cApproximation algorithms for two optimal location problems in sensor networks,\u201d In: Proc. of International Conference on Broadband Networks, Vol. 1 (2005), pp. 714\u2013723.","journal-title":"In: Proc. of International Conference on Broadband Networks, Vol."},{"key":"9610_CR11","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511543340","volume-title":"Visibility Algorithms in the Plane","author":"SK Ghosh","year":"2007","unstructured":"S. K. Ghosh, Visibility Algorithms in the Plane, Cambridge University Press, Cambridge (2007)."},{"key":"9610_CR12","unstructured":"J. Smith and W. Evans, \u201cTriangle guarding,\u201d In: Proc. of the 15th Canadian Conference on Computational Geometry (2003), pp. 76\u201380."},{"key":"9610_CR13","doi-asserted-by":"crossref","unstructured":"J. Urrutia, \u201cArt gallery and illumination problems,\u201d In: Handbook of Computational Geometry, Edited by in J.-R. Sack and J. Urrutia, Elsevier (2000), pp. 973\u20131027.","DOI":"10.1016\/B978-044482537-7\/50023-1"}],"container-title":["Journal of Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10958-009-9610-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10958-009-9610-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10958-009-9610-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T06:09:36Z","timestamp":1559455776000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10958-009-9610-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,9]]},"references-count":13,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2009,9]]}},"alternative-id":["9610"],"URL":"https:\/\/doi.org\/10.1007\/s10958-009-9610-0","relation":{},"ISSN":["1072-3374","1573-8795"],"issn-type":[{"value":"1072-3374","type":"print"},{"value":"1573-8795","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,9]]}}}