{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,19]],"date-time":"2025-04-19T04:05:31Z","timestamp":1745035531205,"version":"3.40.4"},"publisher-location":"Cham","reference-count":21,"publisher":"Springer Nature Switzerland","isbn-type":[{"value":"9783031845420","type":"print"},{"value":"9783031845437","type":"electronic"}],"license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"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\/978-3-031-84543-7_3","type":"book-chapter","created":{"date-parts":[[2025,4,18]],"date-time":"2025-04-18T06:53:30Z","timestamp":1744959210000},"page":"27-38","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the\u00a0Characterization of\u00a0Eulerian es-Splitting p-Matroids"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6707-7710","authenticated-orcid":false,"given":"Uday","family":"Jagadale","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9989-2277","authenticated-orcid":false,"given":"Sachin","family":"Gunjal","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7706-3286","authenticated-orcid":false,"given":"Prashant","family":"Malavadkar","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4598-0976","authenticated-orcid":false,"given":"M. M.","family":"Shikare","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0693-6067","authenticated-orcid":false,"given":"B. N.","family":"Waphare","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,4,19]]},"reference":[{"key":"3_CR1","first-page":"3","volume":"24","author":"H Azanchiler","year":"2006","unstructured":"Azanchiler, H.: Extension of line-splitting operation from graphs to binary matroid. Lobachevskii J. Math. 24, 3\u201312 (2006)","journal-title":"Lobachevskii J. Math."},{"key":"3_CR2","first-page":"5","volume":"26","author":"H Azanchiler","year":"2007","unstructured":"Azanchiler, H.: A characterization of the bases of line-splitting matroids. Lobachevskii J. Math. 26, 5\u201315 (2007)","journal-title":"Lobachevskii J. Math."},{"issue":"1","key":"3_CR3","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1142\/S1793557116500170","volume":"9","author":"SB Dhotre","year":"2016","unstructured":"Dhotre, S.B., Malavadkar, P.P., Shikare, M.M.: On 3-connected $$es$$-splitting binary matroids. Asian-Eur. J. Math. 9(1), 17\u201326 (2016)","journal-title":"Asian-Eur. J. Math."},{"key":"3_CR4","volume-title":"Eulerian Graphs and Related Topics, Part 1","author":"H Fleischner","year":"1990","unstructured":"Fleischner, H.: Eulerian Graphs and Related Topics, Part 1, vol. 1. North Holland, Amsterdam (1990)"},{"issue":"7","key":"3_CR5","doi-asserted-by":"publisher","first-page":"736","DOI":"10.1090\/noti1139","volume":"61","author":"J Geelen","year":"2014","unstructured":"Geelen, J., Gerards, B., Whittle, G.: Solving Rota\u2019s conjecture. Not. Am. Math. Soc. 61(7), 736\u2013743 (2014)","journal-title":"Not. Am. Math. Soc."},{"issue":"1","key":"3_CR6","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/s00026-015-0251-3","volume":"19","author":"J Geelen","year":"2015","unstructured":"Geelen, J., Gerards, B., Whittle, G.: The highly connected matroids in minor-closed classes. Ann. Comb. 19(1), 107\u2013123 (2015)","journal-title":"Ann. Comb."},{"key":"3_CR7","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1002\/sapm1976552119","volume":"55","author":"C Greene","year":"1976","unstructured":"Greene, C.: Weight enumeration and the geometry of linear codes. Stud. Appl. Math. 55, 119\u2013128 (1976)","journal-title":"Stud. Appl. Math."},{"key":"3_CR8","first-page":"175","volume":"92","author":"SS Gunjal","year":"2023","unstructured":"Gunjal, S.S., Jagadale, U.V., Malavadkar, P.P.: Generalized splitting and element splitting operations on p-matroids. Math. Student 92, 175\u2013186 (2023)","journal-title":"Math. Student"},{"issue":"1","key":"3_CR9","first-page":"272","volume":"20","author":"SS Gunjal","year":"2024","unstructured":"Gunjal, S.S., Malavadkar, P.P., Jagadale, U.V.: A note on connectivity preserving splitting operation for matroids representable over GF(p). SE Asian J. Math. Math. Sci. 20(1), 272\u2013361 (2024)","journal-title":"SE Asian J. Math. Math. Sci."},{"issue":"7","key":"3_CR10","doi-asserted-by":"publisher","first-page":"3035","DOI":"10.1109\/TIT.2008.924700","volume":"54","author":"N Kashyap","year":"2008","unstructured":"Kashyap, N.: A decomposition theory for binary linear codes. IEEE Trans. Inf. Theory 54(7), 3035\u20133058 (2008)","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"3_CR11","doi-asserted-by":"publisher","first-page":"265","DOI":"10.5614\/ejgta.2021.9.2.3","volume":"9","author":"PP Malavadkar","year":"2021","unstructured":"Malavadkar, P.P., Dhotre, S.B., Shikare, M.M.: On n-connected minors of the $$es$$-splitting binary matroids. Electron. J. Graph Theory Appl. 9(2), 265\u2013275 (2021)","journal-title":"Electron. J. Graph Theory Appl."},{"key":"3_CR12","first-page":"243","volume":"89","author":"A Mills","year":"2008","unstructured":"Mills, A.: On the co-circuits of a splitting matroid. Ars Comb. 89, 243\u2013253 (2008)","journal-title":"Ars Comb."},{"key":"3_CR13","volume-title":"Matroid Theory","author":"JG Oxley","year":"1992","unstructured":"Oxley, J.G.: Matroid Theory. Oxford University Press, Oxford (1992)"},{"issue":"4","key":"3_CR14","doi-asserted-by":"publisher","first-page":"1046","DOI":"10.1137\/05064309X","volume":"20","author":"C Padro","year":"2006","unstructured":"Padro, C., Gracia, I.: Representing small identically self-dual matroids by self-dual codes. SIAM J. Discr. Math. 20(4), 1046\u20131055 (2006)","journal-title":"SIAM J. Discr. Math."},{"key":"3_CR15","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1016\/S0012-365X(97)00202-1","volume":"184","author":"TT Raghunathan","year":"1998","unstructured":"Raghunathan, T.T., Shikare, M.M., Waphare, B.N.: Splitting in a binary matroid. Discrete Math. 184, 267\u2013271 (1998)","journal-title":"Discrete Math."},{"key":"3_CR16","first-page":"151","volume":"32","author":"MM Shikare","year":"2008","unstructured":"Shikare, M.M.: Splitting lemma for binary matroids. SE Asian Bull. Math. 32, 151\u2013159 (2008)","journal-title":"SE Asian Bull. Math."},{"key":"3_CR17","first-page":"85","volume":"80","author":"MM Shikare","year":"2010","unstructured":"Shikare, M.M.: The element splitting operation for graphs, binary matroids and its applications. Math. Student 80, 85\u201390 (2010)","journal-title":"Math. Student"},{"key":"3_CR18","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1016\/S0195-6698(02)00135-X","volume":"24","author":"MM Shikare","year":"2003","unstructured":"Shikare, M.M., Azadi, G.: Determination of bases of a splitting matroid. Eur. J. Combin. 24, 45\u201352 (2003)","journal-title":"Eur. J. Combin."},{"key":"3_CR19","doi-asserted-by":"publisher","first-page":"282","DOI":"10.1016\/0095-8956(74)90034-3","volume":"17","author":"PJ Slater","year":"1974","unstructured":"Slater, P.J.: A Classification of 4-connected graphs. J. Combin. Theory 17, 282\u2013298 (1974)","journal-title":"J. Combin. Theory"},{"key":"3_CR20","doi-asserted-by":"publisher","first-page":"1301","DOI":"10.4153\/CJM-1966-129-2","volume":"18","author":"WT Tutte","year":"1966","unstructured":"Tutte, W.T.: Connectivity in matroids. Canad. J. Math. 18, 1301\u20131324 (1966)","journal-title":"Canad. J. Math."},{"key":"3_CR21","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1016\/S0021-9800(69)80033-5","volume":"6","author":"DJA Welsh","year":"1969","unstructured":"Welsh, D.J.A.: Euler and bipartite matroids. J. Combin. Theory 6, 375\u2013377 (1969)","journal-title":"J. Combin. Theory"}],"container-title":["Lecture Notes in Computer Science","Applied Algorithms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-031-84543-7_3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,18]],"date-time":"2025-04-18T06:53:32Z","timestamp":1744959212000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-031-84543-7_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"ISBN":["9783031845420","9783031845437"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-031-84543-7_3","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]},"assertion":[{"value":"19 April 2025","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ICAA","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Applied Algorithms","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Kolkata","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":"2025","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8 January 2025","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"10 January 2025","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"icaa2025","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}