{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T09:17:44Z","timestamp":1743153464778,"version":"3.40.3"},"publisher-location":"Cham","reference-count":16,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319519623"},{"type":"electronic","value":"9783319519630"}],"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":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-51963-0_16","type":"book-chapter","created":{"date-parts":[[2017,1,10]],"date-time":"2017-01-10T01:17:39Z","timestamp":1484011059000},"page":"205-216","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Sufficient Conditions for a Connected Graph to Have a Hamiltonian Path"],"prefix":"10.1007","author":[{"given":"Benjamin","family":"Mom\u00e8ge","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,1,11]]},"reference":[{"key":"16_CR1","unstructured":"Bondy, J.A.: Integrity in graph theory. In: Chartrand, G., Alavi, Y., Goldsmith, D.L., Lesniak-Foster, L., Lick, D.R. (eds.) The Theory and Applications of Graphs: Proceedings of the 4th International Graph Theory Conference, pp. 117\u2013125. Wiley, New York (1981)"},{"issue":"2","key":"16_CR2","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1016\/0012-365X(76)90078-9","volume":"15","author":"JA Bondy","year":"1976","unstructured":"Bondy, J.A., Chv\u00e1tal, V.: A method in graph theory. Discrete Math. 15(2), 111\u2013135 (1976)","journal-title":"Discrete Math."},{"key":"16_CR3","unstructured":"Bondy, J.A., Siva, U., Murty, R.: Graph Theory. Springer, London Ltd. (2010)"},{"issue":"4","key":"16_CR4","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1002\/jgt.3190200406","volume":"20","author":"G Chen","year":"1995","unstructured":"Chen, G., Schelp, R.H.: Hamiltonicity for \n                      \n                        \n                      \n                      $${K}_{1, r}$$\n                    -free graphs. J. Graph Theory 20(4), 423\u2013439 (1995)","journal-title":"J. Graph Theory"},{"key":"16_CR5","doi-asserted-by":"crossref","unstructured":"Diestel, R.: Graph Theory. Graduate Texts in Mathematics, 4th edn., vol. 173. Springer, New York (2012)","DOI":"10.1007\/978-3-662-53622-3_7"},{"key":"16_CR6","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1112\/plms\/s3-2.1.69","volume":"2","author":"GA Dirac","year":"1952","unstructured":"Dirac, G.A.: Some theorems on abstract graphs. Proc. London Math. Soc. 2, 69\u201381 (1952)","journal-title":"Proc. London Math. Soc."},{"key":"16_CR7","unstructured":"Duffus, D., Gould, R.J., Jacobson, M.S.: Forbidden subgraphs and the Hamiltonian theme. In: The Theory and Applications of Graphs, 4th International Conference, Kalamazoo, Mich., pp. 297\u2013316. Wiley, New York (1981)"},{"key":"16_CR8","doi-asserted-by":"crossref","unstructured":"Enomoto, H., van den Heuvel, J., Kaneko, A., Saito, A.: Relative length of long paths and cycles in graphs with large degree sums. J. Graph Theory 20(2), 213\u2013225 (1995)","DOI":"10.1002\/jgt.3190200210"},{"key":"16_CR9","doi-asserted-by":"crossref","unstructured":"Faudree, R.J., Flandrin, E., Ryj\u00e1cek, Z.: Claw-free graphs - a survey. Discrete Math. 164(1\u20133), 87\u2013147 (1997)","DOI":"10.1016\/S0012-365X(96)00045-3"},{"key":"16_CR10","doi-asserted-by":"crossref","unstructured":"Gould, R.J.: Updating the Hamiltonian problem - a survey. J. Graph Theory 15(2), 121\u2013157 (1991)","DOI":"10.1002\/jgt.3190150204"},{"issue":"1","key":"16_CR11","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1007\/s00373-002-0492-x","volume":"19","author":"RJ Gould","year":"2003","unstructured":"Gould, R.J.: Advances on the Hamiltonian problem - a survey. Graphs Comb. 19(1), 7\u201352 (2003)","journal-title":"Graphs Comb."},{"issue":"1","key":"16_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00373-013-1377-x","volume":"30","author":"RJ Gould","year":"2014","unstructured":"Gould, R.J.: Recent advances on the Hamiltonian problem: survey III. Graphs Comb. 30(1), 1\u201346 (2014)","journal-title":"Graphs Comb."},{"issue":"19","key":"16_CR13","doi-asserted-by":"publisher","first-page":"2034","DOI":"10.1016\/j.disc.2012.11.025","volume":"313","author":"H Li","year":"2013","unstructured":"Li, H.: Generalizations of Dirac\u2019s theorem in Hamiltonian graph theory - a survey. Discrete Math. 313(19), 2034\u20132053 (2013)","journal-title":"Discrete Math."},{"key":"16_CR14","first-page":"143","volume":"98","author":"LR Markus","year":"1993","unstructured":"Markus, L.R.: Hamiltonian results in \n                      \n                        \n                      \n                      $${K}_{1, r}$$\n                    -free graphs. Congr. Numer. 98, 143\u2013149 (1993)","journal-title":"Congr. Numer."},{"key":"16_CR15","doi-asserted-by":"publisher","first-page":"55","DOI":"10.2307\/2308928","volume":"67","author":"\u00d8 Ore","year":"1960","unstructured":"Ore, \u00d8.: Note on Hamiltonian circuits. Am. Math. 67, 55 (1960)","journal-title":"Am. Math."},{"issue":"2","key":"16_CR16","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1002\/jgt.3190120211","volume":"12","author":"C-Q Zhang","year":"1988","unstructured":"Zhang, C.-Q.: Hamilton cycles in claw-free graphs. J. Graph Theory 12(2), 209\u2013216 (1988)","journal-title":"J. Graph Theory"}],"container-title":["Lecture Notes in Computer Science","SOFSEM 2017: Theory and Practice of Computer Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-51963-0_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,20]],"date-time":"2019-05-20T02:03:22Z","timestamp":1558317802000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-51963-0_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319519623","9783319519630"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-51963-0_16","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"11 January 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"SOFSEM","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Current Trends in Theory and Practice of Informatics","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Limerick","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Ireland","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2017","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16 January 2017","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20 January 2017","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"43","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"sofsem2017","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}