{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T13:28:53Z","timestamp":1770902933177,"version":"3.50.1"},"publisher-location":"Cham","reference-count":12,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783032171559","type":"print"},{"value":"9783032171566","type":"electronic"}],"license":[{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"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":[[2026]]},"DOI":"10.1007\/978-3-032-17156-6_18","type":"book-chapter","created":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T12:36:28Z","timestamp":1770899788000},"page":"236-249","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Directed Weakly Modular Graphs and\u00a0Their Directed Interval Functions"],"prefix":"10.1007","author":[{"given":"Lekshmi Kamal K.","family":"Sheela","sequence":"first","affiliation":[]},{"given":"Manoj","family":"Changat","sequence":"additional","affiliation":[]},{"given":"M. R.","family":"Chithra","sequence":"additional","affiliation":[]},{"given":"Peter F.","family":"Stadler","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2026,2,13]]},"reference":[{"key":"18_CR1","unstructured":"Mulder, H.M.: The Interval Function of a Graph, Math. Centre Tracts, vol. 132. Mathematisch Centrum, Amsterdam, NL (1980)"},{"key":"18_CR2","doi-asserted-by":"crossref","unstructured":"Nebesk\u1ef3, L.: The interval function of a connected graph and a characterization of geodetic graphs. Math. Bohem. 126(1), 247\u2013254 (2001)","DOI":"10.21136\/MB.2001.133909"},{"key":"18_CR3","doi-asserted-by":"crossref","unstructured":"Mulder, H.M., Nebesk\u1ef3, L.: Axiomatic characterization of the interval function of a graph. Eur. J. Comb. 30(5), 1172\u20131185 (2009)","DOI":"10.1016\/j.ejc.2008.09.007"},{"key":"18_CR4","doi-asserted-by":"crossref","unstructured":"Anil, A., et al.: Directed interval transit functions, submitted (2025)","DOI":"10.1007\/s00025-025-02354-0"},{"key":"18_CR5","doi-asserted-by":"crossref","unstructured":"Anil, A., et al.: Directed transit functions. RM 80(2), 45 (2025)","DOI":"10.1007\/s00025-025-02354-0"},{"key":"18_CR6","unstructured":"Chepo\u0131, V.: Classification of graphs by means of metric triangles. Metody Diskret Analiz 49, 75\u201393 (1989)"},{"key":"18_CR7","doi-asserted-by":"crossref","unstructured":"Chalopin, J., Chepoi, V., Hirai, H., Osajda, D.: Weakly modular graphs and nonpositive curvature, vol. 268. American Mathematical Society (2020)","DOI":"10.1090\/memo\/1309"},{"key":"18_CR8","doi-asserted-by":"publisher","unstructured":"Bandelt, H.J., Chepoi, V.: A Helly theorem in weakly modular space. Discret. Math. 160, 25\u201339 (1996). https:\/\/doi.org\/10.1016\/0012-365X(95)00217-K","DOI":"10.1016\/0012-365X(95)00217-K"},{"key":"18_CR9","doi-asserted-by":"crossref","unstructured":"Dress, A.W., Scharlau, R.: Gated sets in metric spaces. Aequationes Math. 34, 112\u2013120 (1987)","DOI":"10.1007\/BF01840131"},{"key":"18_CR10","doi-asserted-by":"crossref","unstructured":"Bandelt, H.J., Mulder, H.M., Wilkeit, E.: Quasi-median graphs and algebras. J. Graph Theor. 18(7), 681\u2013703 (1994)","DOI":"10.1002\/jgt.3190180705"},{"key":"18_CR11","doi-asserted-by":"crossref","unstructured":"Chalopin, J., Chepoi, V.: A counterexample to thiagarajan\u2019s conjecture on regular event structures. J. Comput. Syst. Sci. 113, 76\u2013100 (2020)","DOI":"10.1016\/j.jcss.2020.05.001"},{"key":"18_CR12","doi-asserted-by":"crossref","unstructured":"Chalopin, J., Chepoi, V.: 1-safe petri nets and special cube complexes: equivalence and applications. ACM Trans. Comput. Logic (TOCL) 20(3), 1\u201349 (2019)","DOI":"10.1145\/3322095"}],"container-title":["Lecture Notes in Computer Science","Algorithms and Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-032-17156-6_18","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,12]],"date-time":"2026-02-12T12:36:31Z","timestamp":1770899791000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-032-17156-6_18"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"ISBN":["9783032171559","9783032171566"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-032-17156-6_18","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026]]},"assertion":[{"value":"13 February 2026","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CALDAM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Conference on Algorithms and Discrete Applied Mathematics","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Dharwad","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"India","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2026","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12 February 2026","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14 February 2026","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"12","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"caldam2026","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/caldam2026.iitdh.ac.in\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}