{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T11:01:51Z","timestamp":1725879711034},"publisher-location":"Cham","reference-count":15,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319530062"},{"type":"electronic","value":"9783319530079"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-53007-9_31","type":"book-chapter","created":{"date-parts":[[2017,2,2]],"date-time":"2017-02-02T05:13:23Z","timestamp":1486012403000},"page":"356-361","source":"Crossref","is-referenced-by-count":0,"title":["Stability Number and k-Hamiltonian [a,\u00a0b]-factors"],"prefix":"10.1007","author":[{"given":"Sizhong","family":"Zhou","sequence":"first","affiliation":[]},{"given":"Yang","family":"Xu","sequence":"additional","affiliation":[]},{"given":"Lan","family":"Xu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,1,26]]},"reference":[{"key":"31_CR1","doi-asserted-by":"crossref","first-page":"933","DOI":"10.1007\/BF02880002","volume":"41","author":"M Cai","year":"1998","unstructured":"Cai, M., Li, Y., Kano, M.: A $$[k, k+1]$$ [ k , k + 1 ] -factor containing given Hamiltonian cycle. Sci. China Ser. A 41, 933\u2013938 (1998)","journal-title":"Sci. China Ser. A"},{"key":"31_CR2","doi-asserted-by":"crossref","first-page":"927","DOI":"10.1016\/j.aml.2008.11.002","volume":"22","author":"J Cai","year":"2009","unstructured":"Cai, J., Liu, G., Hou, J.: The stability number and connected $$[k, k+1]$$ [ k , k + 1 ] -factor in graphs. Appl. Math. Lett. 22, 927\u2013931 (2009)","journal-title":"Appl. Math. Lett."},{"key":"31_CR3","doi-asserted-by":"crossref","first-page":"2574","DOI":"10.1016\/j.disc.2011.09.004","volume":"312","author":"J Ekstein","year":"2012","unstructured":"Ekstein, J., Holub, P., Kaiser, T., Xiong, L., Zhang, S.: Star subdivisions and connected even factors in the square of a graph. Discret. Math. 312, 2574\u20132578 (2012)","journal-title":"Discret. Math."},{"key":"31_CR4","doi-asserted-by":"crossref","first-page":"3351","DOI":"10.1016\/j.disc.2010.07.024","volume":"310","author":"O Fourtounelli","year":"2010","unstructured":"Fourtounelli, O., Katerinis, P.: The existence of $$k$$ k -factors in squares of graphs. Discret. Math. 310, 3351\u20133358 (2010)","journal-title":"Discret. Math."},{"key":"31_CR5","first-page":"257","volume":"93","author":"H Liu","year":"2009","unstructured":"Liu, H., Liu, G.: A neighborhood condition for graphs to have $$(g, f)$$ ( g , f ) -factors. Ars Comb. 93, 257\u2013264 (2009)","journal-title":"Ars Comb."},{"key":"31_CR6","first-page":"39","volume":"34","author":"H Liu","year":"2011","unstructured":"Liu, H., Liu, G.: Neighbor set for the existence of $$(g, f, n)$$ ( g , f , n ) -critical graphs. Bull. Malays. Math. Sci. Soc. 34, 39\u201349 (2011)","journal-title":"Bull. Malays. Math. Sci. Soc."},{"key":"31_CR7","doi-asserted-by":"crossref","first-page":"1237","DOI":"10.1016\/j.aml.2007.02.004","volume":"20","author":"G Liu","year":"2007","unstructured":"Liu, G., Yu, Q., Zhang, L.: Maximum fractional factors in graphs. Appl. Math. Lett. 20, 1237\u20131243 (2007)","journal-title":"Appl. Math. Lett."},{"key":"31_CR8","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1016\/S0021-9800(70)80033-3","volume":"8","author":"L Lov\u00e1sz","year":"1970","unstructured":"Lov\u00e1sz, L.: Subgraphs with prescribed valencies. J. Comb. Theory 8, 391\u2013416 (1970)","journal-title":"J. Comb. Theory"},{"key":"31_CR9","first-page":"273","volume":"26","author":"H Matsuda","year":"2002","unstructured":"Matsuda, H.: Degree conditions for the existence of $$[k, k+1]$$ [ k , k + 1 ] -factors containing a given Hamiltonian cycle. Australas. J. Comb. 26, 273\u2013281 (2002)","journal-title":"Australas. J. Comb."},{"key":"31_CR10","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1002\/(SICI)1097-0118(199707)25:3<217::AID-JGT5>3.0.CO;2-O","volume":"25","author":"B Wei","year":"1997","unstructured":"Wei, B., Zhu, Y.: Hamiltonian $$k$$ k -factors in graphs. J. Graph Theory 25, 217\u2013227 (1997)","journal-title":"J. Graph Theory"},{"key":"31_CR11","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1007\/s10114-013-1396-9","volume":"30","author":"S Zhou","year":"2014","unstructured":"Zhou, S.: Binding numbers for fractional ID- $$k$$ k -factor-critical graphs. Acta Math. Sin. Engl. Ser. 30, 181\u2013186 (2014)","journal-title":"Acta Math. Sin. Engl. Ser."},{"key":"31_CR12","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1016\/j.aml.2011.09.048","volume":"25","author":"S Zhou","year":"2012","unstructured":"Zhou, S.: A new neighborhood condition for graphs to be fractional $$(k, m)$$ ( k , m ) -deleted graphs. Appl. Math. Lett. 25, 509\u2013513 (2012)","journal-title":"Appl. Math. Lett."},{"key":"31_CR13","doi-asserted-by":"crossref","first-page":"4144","DOI":"10.1016\/j.disc.2008.12.013","volume":"309","author":"S Zhou","year":"2009","unstructured":"Zhou, S.: Independence number, connectivity and $$(a, b, k)$$ ( a , b , k ) -critical graphs. Discret. Math. 309, 4144\u20134148 (2009)","journal-title":"Discret. Math."},{"key":"31_CR14","first-page":"187","volume":"90","author":"S Zhou","year":"2013","unstructured":"Zhou, S.: Toughness and the existence of Hamiltonian $$[a, b]$$ [ a , b ] -factors of graphs. Util. Math. 90, 187\u2013197 (2013)","journal-title":"Util. Math."},{"key":"31_CR15","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1016\/j.ejc.2013.06.042","volume":"36","author":"S Zhou","year":"2014","unstructured":"Zhou, S., Bian, Q.: Subdigraphs with orthogonal factorizations of digraphs (II). Eur. J. Comb. 36, 198\u2013205 (2014)","journal-title":"Eur. J. Comb."}],"container-title":["Lecture Notes in Computer Science","Algorithms and Discrete Applied Mathematics"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-53007-9_31","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,25]],"date-time":"2017-06-25T05:35:24Z","timestamp":1498368924000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-53007-9_31"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319530062","9783319530079"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-53007-9_31","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}