{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,3]],"date-time":"2025-09-03T10:16:15Z","timestamp":1756894575682,"version":"3.40.3"},"publisher-location":"Cham","reference-count":9,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030271947"},{"type":"electronic","value":"9783030271954"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019]]},"DOI":"10.1007\/978-3-030-27195-4_8","type":"book-chapter","created":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T09:03:14Z","timestamp":1564650194000},"page":"83-94","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["On the Structure of Discrete Metric Spaces Isometric to Circles"],"prefix":"10.1007","author":[{"given":"Andreas W. M.","family":"Dress","sequence":"first","affiliation":[]},{"given":"Hiroshi","family":"Maehara","sequence":"additional","affiliation":[]},{"given":"Sabrina Xing Mei","family":"Pang","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9728-1114","authenticated-orcid":false,"given":"Zhenbing","family":"Zeng","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,8,1]]},"reference":[{"key":"8_CR1","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1080\/0025570X.1967.11975804","volume":"40","author":"TM Apostol","year":"1967","unstructured":"Apostol, T.M.: Ptolemy\u2019s inequality and the chordal metric. Math. Mag. 40, 233\u2013235 (1967)","journal-title":"Math. Mag."},{"key":"8_CR2","unstructured":"Berger, M.: Geometry I. Springer, Heidelberg (1967). 1977. MAA"},{"issue":"6","key":"8_CR3","doi-asserted-by":"publisher","first-page":"435","DOI":"10.1090\/S0002-9904-1941-07471-9","volume":"47","author":"L Blumenthal","year":"1941","unstructured":"Blumenthal, L.: A new concept in distance geometry with applications to spherical subsets. Bull. Am. Math. Soc. 47(6), 435\u2013443 (1941)","journal-title":"Bull. Am. Math. Soc."},{"key":"8_CR4","volume-title":"Theory and Applications of Distance Geometry","author":"L Blumenthal","year":"1970","unstructured":"Blumenthal, L.: Theory and Applications of Distance Geometry, 2nd edn. Chelsce Pub. Co., Bronx (1970)","edition":"2"},{"key":"8_CR5","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1023\/A:1004907919611","volume":"69","author":"V Chepoi","year":"1998","unstructured":"Chepoi, V., Fichet, B.: A note on circular decomposable metrics. Geom. Ded. 69, 237\u2013240 (1998)","journal-title":"Geom. Ded."},{"key":"8_CR6","volume-title":"Dictionary of Distances","author":"E Deza","year":"2006","unstructured":"Deza, E., Deza, M.M.: Dictionary of Distances. Elsevier, Tokyo (2006)"},{"key":"8_CR7","series-title":"Algorithms and Combinatorics","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-04295-9","volume-title":"Geometry of Cuts and Metrics","author":"Michel Marie Deza","year":"1997","unstructured":"Deza, M., Laurent, M.: Geometry of Cuts and Metrics. Algorithms and Combinatorics, vol. 15. Springer, Heidelberg (1997). https:\/\/doi.org\/10.1007\/978-3-642-04295-9"},{"key":"8_CR8","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1080\/00029890.2006.11920293","volume":"113","author":"PL Robinson","year":"2006","unstructured":"Robinson, P.L.: The sphere is not flat. Am. Math. Monthly 113, 171\u2013172 (2006)","journal-title":"Am. Math. Monthly"},{"key":"8_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-65234-9","volume-title":"Langerungen in der Ebene auf Kugel unt im Raum","author":"LF T\u00f3th","year":"1972","unstructured":"T\u00f3th, L.F.: Langerungen in der Ebene auf Kugel unt im Raum. Springer, Heidelberg (1972). https:\/\/doi.org\/10.1007\/978-3-642-65234-9"}],"container-title":["Lecture Notes in Computer Science","Algorithmic Aspects in Information and Management"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-27195-4_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,7]],"date-time":"2024-03-07T15:16:07Z","timestamp":1709824567000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-27195-4_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030271947","9783030271954"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-27195-4_8","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"1 August 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"AAIM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Algorithmic Applications in Management","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Beijing","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"China","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"6 August 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8 August 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"13","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"aaim2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/theory.ict.ac.cn\/aaim2019\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}