{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T15:13:57Z","timestamp":1742915637102,"version":"3.40.3"},"publisher-location":"Cham","reference-count":13,"publisher":"Springer Nature Switzerland","isbn-type":[{"type":"print","value":"9783031745799"},{"type":"electronic","value":"9783031745805"}],"license":[{"start":{"date-parts":[[2024,12,27]],"date-time":"2024-12-27T00:00:00Z","timestamp":1735257600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,12,27]],"date-time":"2024-12-27T00:00:00Z","timestamp":1735257600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2025]]},"DOI":"10.1007\/978-3-031-74580-5_11","type":"book-chapter","created":{"date-parts":[[2024,12,26]],"date-time":"2024-12-26T15:35:44Z","timestamp":1735227344000},"page":"144-158","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["The Exact Spanning Ratio of\u00a0the\u00a0Parallelogram Delaunay Graph"],"prefix":"10.1007","author":[{"given":"Prosenjit","family":"Bose","sequence":"first","affiliation":[]},{"given":"Jean-Lou","family":"De Carufel","sequence":"additional","affiliation":[]},{"given":"Sandrine","family":"Njoo","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,12,27]]},"reference":[{"issue":"3","key":"11_CR1","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/j.comgeo.2014.10.005","volume":"48","author":"N Bonichon","year":"2015","unstructured":"Bonichon, N., Gavoille, C., Hanusse, N., Perkovic, L.: Tight stretch factors for l$$_\\infty $$-Delaunay triangulations. Comput. Geom. 48(3), 237\u2013250 (2015)","journal-title":"Comput. Geom."},{"key":"11_CR2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cagd.2021.102039","volume":"91","author":"P Bose","year":"2021","unstructured":"Bose, P., Cano, P., Silveira, R.I.: Affine invariant triangulations. Comput. Aided Geom. Des. 91, 102039 (2021)","journal-title":"Comput. Aided Geom. Des."},{"issue":"1","key":"11_CR3","first-page":"41","volume":"1","author":"P Bose","year":"2010","unstructured":"Bose, P., Carmi, P., Collette, S., Smid, M.H.M.: On the stretch factor of convex Delaunay graphs. J. Comput. Geom. 1(1), 41\u201356 (2010)","journal-title":"J. Comput. Geom."},{"unstructured":"Bose, P., Carufel, J.L.D., Njoo, S.: The exact spanning ratio of the parallelogram Delaunay graph (2024). https:\/\/arxiv.org\/abs\/2312.14305","key":"11_CR4"},{"key":"11_CR5","doi-asserted-by":"publisher","first-page":"50","DOI":"10.1016\/j.comgeo.2018.06.006","volume":"74","author":"P Bose","year":"2018","unstructured":"Bose, P., Carufel, J.D., van Renssen, A.: Constrained generalized Delaunay graphs are plane spanners. Comput. Geom. 74, 50\u201365 (2018)","journal-title":"Comput. Geom."},{"issue":"2","key":"11_CR6","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1016\/j.comgeo.2010.09.009","volume":"44","author":"P Bose","year":"2011","unstructured":"Bose, P., Devroye, L., L\u00f6ffler, M., Snoeyink, J., Verma, V.: Almost all Delaunay triangulations have stretch factor greater than $$\\pi $$\/2. Comput. Geom. 44(2), 121\u2013127 (2011)","journal-title":"Comput. Geom."},{"issue":"2","key":"11_CR7","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1016\/0022-0000(89)90044-5","volume":"39","author":"P Chew","year":"1989","unstructured":"Chew, P.: There are planar graphs almost as good as the complete graph. J. Comput. Syst. Sci. 39(2), 205\u2013219 (1989)","journal-title":"J. Comput. Syst. Sci."},{"issue":"4","key":"11_CR8","doi-asserted-by":"publisher","first-page":"399","DOI":"10.1007\/BF02187801","volume":"5","author":"DP Dobkin","year":"1990","unstructured":"Dobkin, D.P., Friedman, S.J., Supowit, K.J.: Delaunay graphs are almost as good as complete graphs. Discrete Comput. Geom. 5(4), 399\u2013407 (1990). https:\/\/doi.org\/10.1007\/BF02187801","journal-title":"Discrete Comput. Geom."},{"issue":"1","key":"11_CR9","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1007\/BF02187821","volume":"7","author":"JM Keil","year":"1992","unstructured":"Keil, J.M., Gutwin, C.A.: Classes of graphs which approximate the complete Euclidean graph. Discrete Comput. Geom. 7(1), 13\u201328 (1992). https:\/\/doi.org\/10.1007\/BF02187821","journal-title":"Discrete Comput. Geom."},{"issue":"2","key":"11_CR10","first-page":"86","volume":"12","author":"L Perkovic","year":"2021","unstructured":"Perkovic, L., Dennis, M., T\u00fcrkoglu, D.: The stretch factor of hexagon-Delaunay triangulations. J. Comput. Geom. 12(2), 86\u2013125 (2021)","journal-title":"J. Comput. Geom."},{"unstructured":"van Renssen, A., Sha, Y., Sun, Y., Wong, S.: The tight spanning ratio of the rectangle Delaunay triangulation. In: ESA. LIPIcs, vol.\u00a0274, pp. 99:1\u201399:15. Schloss Dagstuhl - Leibniz-Zentrum f\u00fcr Informatik (2023)","key":"11_CR11"},{"issue":"4","key":"11_CR12","doi-asserted-by":"publisher","first-page":"1620","DOI":"10.1137\/110832458","volume":"42","author":"G Xia","year":"2013","unstructured":"Xia, G.: The stretch factor of the Delaunay triangulation is less than 1.998. SIAM J. Comput. 42(4), 1620\u20131659 (2013)","journal-title":"SIAM J. Comput."},{"doi-asserted-by":"crossref","unstructured":"Xia, G., Zhang, L.: Toward the tight bound of the stretch factor of Delaunay triangulations. In: CCCG (2011)","key":"11_CR13","DOI":"10.1145\/1998196.1998235"}],"container-title":["Lecture Notes in Computer Science","Algorithmics of Wireless Networks"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-74580-5_11","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,26]],"date-time":"2024-12-26T16:03:00Z","timestamp":1735228980000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-74580-5_11"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,12,27]]},"ISBN":["9783031745799","9783031745805"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-74580-5_11","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2024,12,27]]},"assertion":[{"value":"27 December 2024","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ALGOWIN","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Symposium on Algorithmics of Wireless Networks","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Egham","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"United Kingdom","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2024","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5 September 2024","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"6 September 2024","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"algosensors2024","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/algo-conference.org\/2024\/algowin\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}