{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:51:35Z","timestamp":1742914295978,"version":"3.40.3"},"publisher-location":"Cham","reference-count":21,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319257822"},{"type":"electronic","value":"9783319257839"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"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":[[2015]]},"DOI":"10.1007\/978-3-319-25783-9_14","type":"book-chapter","created":{"date-parts":[[2015,11,7]],"date-time":"2015-11-07T01:25:39Z","timestamp":1446859539000},"page":"149-160","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Connectedness of Graph and Matroid by Covering-Based Rough Sets"],"prefix":"10.1007","author":[{"given":"Hui","family":"Li","sequence":"first","affiliation":[]},{"given":"William","family":"Zhu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,11,8]]},"reference":[{"key":"14_CR1","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/BF01001956","volume":"11","author":"Z Pawlak","year":"1982","unstructured":"Pawlak, Z.: Rough sets. Int. J. Comput. Inf. Sci. 11, 341\u2013356 (1982)","journal-title":"Int. J. Comput. Inf. Sci."},{"key":"14_CR2","doi-asserted-by":"publisher","first-page":"469","DOI":"10.1016\/S0020-7373(84)80022-X","volume":"20","author":"Z Pawlak","year":"1984","unstructured":"Pawlak, Z.: Rough classification. Int. J. Man-Mach. Stud. 20, 469\u2013483 (1984)","journal-title":"Int. J. Man-Mach. Stud."},{"key":"14_CR3","unstructured":"Wu, W., Zhang, W.: Rough set approximations vs. measurable spaces (in chinese). In: Granular Computing (GrC), 2006 IEEE International Conference on Granular Computing, pp. 329\u2013332. IEEE Press, China (2006)"},{"key":"14_CR4","doi-asserted-by":"publisher","first-page":"1418","DOI":"10.1016\/j.ins.2009.11.032","volume":"180","author":"M Diker","year":"2010","unstructured":"Diker, M.: Textural approach to generalized rough sets based on relations. Inf. Sci. 180, 1418\u20131433 (2010)","journal-title":"Inf. Sci."},{"key":"14_CR5","doi-asserted-by":"publisher","first-page":"4105","DOI":"10.1016\/j.ins.2008.06.021","volume":"178","author":"G Liu","year":"2008","unstructured":"Liu, G., Zhu, W.: The algebraic structures of generalized rough set theory. Inf. Sci. 178, 4105\u20134113 (2008)","journal-title":"Inf. Sci."},{"key":"14_CR6","doi-asserted-by":"publisher","first-page":"217","DOI":"10.1016\/S0020-0255(03)00056-2","volume":"152","author":"W Zhu","year":"2003","unstructured":"Zhu, W., Wang, F.: Reduction and axiomization of covering generalized rough sets. Inf. Sci. 152, 217\u2013230 (2003)","journal-title":"Inf. Sci."},{"key":"14_CR7","first-page":"1343","volume":"9","author":"S Wang","year":"2012","unstructured":"Wang, S., Zhu, W., Zhu, Q., Min, F.: Covering base. J. Inf. Comput. Sci. 9, 1343\u20131355 (2012)","journal-title":"J. Inf. Comput. Sci."},{"key":"14_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.cosrev.2012.12.001","volume":"7","author":"DF Nettleton","year":"2013","unstructured":"Nettleton, D.F.: Data mining of social networks represented as graphs. Comput. Sci. Revi. 7, 1\u201334 (2013)","journal-title":"Comput. Sci. Revi."},{"key":"14_CR9","doi-asserted-by":"publisher","first-page":"202","DOI":"10.1016\/j.dam.2013.09.013","volume":"162","author":"T Fukami","year":"2014","unstructured":"Fukami, T., Takahashi, N.: New classes of clustering coefficient locally maximizing graphs. Discrete Appl. Math. 162, 202\u2013213 (2014)","journal-title":"Discrete Appl. Math."},{"key":"14_CR10","unstructured":"Huang, A., Zhu, W.: Connectedness of graphs and its application to connected matroids through covering-based rough sets. arXiv preprint arXiv:1312.4234 (2013)"},{"key":"14_CR11","volume-title":"Matroid Theory","author":"JG Oxley","year":"1993","unstructured":"Oxley, J.G.: Matroid Theory. Oxford University Press, New York (1993)"},{"key":"14_CR12","volume-title":"Matroid Theory","author":"H Lai","year":"2001","unstructured":"Lai, H.: Matroid Theory. Higher Education Press, Beijing (2001)"},{"key":"14_CR13","doi-asserted-by":"crossref","unstructured":"Liu, Y., Zhu, W.: Characteristic of partition-circuit matroid through approximation number. In: Granular Computing (GrC), 2012 IEEE International Conference on Granular Computing, pp. 314\u2013319. IEEE Press, Hangzhou (2012)","DOI":"10.1109\/GrC.2012.6468668"},{"key":"14_CR14","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/s13042-011-0027-y","volume":"2","author":"W Zhu","year":"2011","unstructured":"Zhu, W., Wang, S.: Matroidal approaches to generalized rough sets based on relations. Int. J. Mach. Learn. Cybern. 2, 273\u2013279 (2011)","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"14_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1007\/978-3-642-21881-1_15","volume-title":"Rough Sets, Fuzzy Sets, Data Mining and Granular Computing","author":"C Liu","year":"2011","unstructured":"Liu, C., Miao, D.: Covering rough set model based on multi-granulations. In: Kuznetsov, S.O., \u015al\u0119zak, D., Hepting, D.H., Mirkin, B.G. (eds.) RSFDGrC 2011. LNCS, vol. 6743, pp. 87\u201390. Springer, Heidelberg (2011)"},{"key":"14_CR16","first-page":"653","volume":"35","author":"JA Pomykala","year":"1987","unstructured":"Pomykala, J.A.: Approximation operations in approximation space. Bul. Pol. Acad. Sci. 35, 653\u2013662 (1987)","journal-title":"Bul. Pol. Acad. Sci."},{"key":"14_CR17","doi-asserted-by":"publisher","first-page":"195","DOI":"10.1007\/s13042-012-0086-8","volume":"4","author":"J Chen","year":"2013","unstructured":"Chen, J., Li, J., Lin, Y.: On the structure of definable sets in covering approximation spaces. Int. J. Mach. Learn. Cybern. 4, 195\u2013206 (2013)","journal-title":"Int. J. Mach. Learn. Cybern."},{"key":"14_CR18","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1016\/j.ins.2013.10.018","volume":"263","author":"S Wang","year":"2014","unstructured":"Wang, S., Zhu, W., Zhu, Q., Min, F.: Characteristic matrix of covering and its application to boolean matrix decomposition. Inf. Sci. 263, 186\u2013197 (2014)","journal-title":"Inf. Sci."},{"key":"14_CR19","volume-title":"Introduction to Graph Theory","author":"DB West","year":"2001","unstructured":"West, D.B., et al.: Introduction to Graph Theory. Prentice Hall, Upper Saddle River (2001)"},{"key":"14_CR20","doi-asserted-by":"crossref","unstructured":"Wang, S., Zhu, Q., Zhu, W., Min, F.: Equivalent characterizations of some graph problems by covering-based rough sets. J. Appl. Math. (2013)","DOI":"10.1155\/2013\/519173"},{"key":"14_CR21","volume-title":"Graph Theory","author":"Z Wang","year":"2002","unstructured":"Wang, Z.: Graph Theory. Beijing Institute of Technology Press, Beijing (2002)"}],"container-title":["Lecture Notes in Computer Science","Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-25783-9_14","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,17]],"date-time":"2023-11-17T15:06:29Z","timestamp":1700233589000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-25783-9_14"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319257822","9783319257839"],"references-count":21,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-25783-9_14","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2015]]},"assertion":[{"value":"8 November 2015","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}