{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T12:47:11Z","timestamp":1759063631710,"version":"3.37.3"},"reference-count":20,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2021,5,14]],"date-time":"2021-05-14T00:00:00Z","timestamp":1620950400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,5,14]],"date-time":"2021-05-14T00:00:00Z","timestamp":1620950400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11301098","11601428"],"award-info":[{"award-number":["11301098","11601428"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004607","name":"Natural Science Foundation of Guangxi Province","doi-asserted-by":"publisher","award":["2016GXNSFFA380011"],"award-info":[{"award-number":["2016GXNSFFA380011"]}],"id":[{"id":"10.13039\/501100004607","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["\u00a012071370","U1803263"],"award-info":[{"award-number":["\u00a012071370","U1803263"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11601430"],"award-info":[{"award-number":["11601430"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["3102019ghjd003"],"award-info":[{"award-number":["3102019ghjd003"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2016M590969"],"award-info":[{"award-number":["2016M590969"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11901459"],"award-info":[{"award-number":["11901459"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2021,7]]},"DOI":"10.1007\/s00373-021-02313-w","type":"journal-article","created":{"date-parts":[[2021,5,14]],"date-time":"2021-05-14T07:02:35Z","timestamp":1620975755000},"page":"1271-1290","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Rainbow Triangles in Arc-Colored Tournaments"],"prefix":"10.1007","volume":"37","author":[{"given":"Wei","family":"Li","sequence":"first","affiliation":[]},{"given":"Shenggui","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Yandong","family":"Bai","sequence":"additional","affiliation":[]},{"given":"Ruonan","family":"Li","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,5,14]]},"reference":[{"key":"2313_CR1","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1002\/jgt.22457","volume":"92","author":"R Aharoni","year":"2019","unstructured":"Aharoni, R., DeVos, M., Holzman, R.: Rainbow triangles and the Caccetta\u2013Hggkvist conjecture. J. Graph Theory 92, 347\u2013360 (2019)","journal-title":"J. Graph Theory"},{"issue":"6","key":"2313_CR2","doi-asserted-by":"publisher","first-page":"1523","DOI":"10.1016\/j.disc.2018.02.014","volume":"341","author":"Y Bai","year":"2018","unstructured":"Bai, Y., Fujita, S., Zhang, S.: Kernels by properly colored paths in arc-colored digraphs. Discret. Math. 341(6), 1523\u20131533 (2018)","journal-title":"Discret. Math."},{"key":"2313_CR3","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1016\/j.dam.2019.11.012","volume":"282","author":"Y Bai","year":"2020","unstructured":"Bai, Y., Li, B., Zhang, S.: Kernels by rainbow paths in arc-colored tournaments. Discret. Appl. Math. 282, 14\u201321 (2020)","journal-title":"Discret. Appl. Math."},{"key":"2313_CR4","doi-asserted-by":"publisher","first-page":"83","DOI":"10.1016\/j.jctb.2017.04.002","volume":"126","author":"J Bal\u00f3gh","year":"2017","unstructured":"Bal\u00f3gh, J., Hu, P., Lidick\u00fd, B., Pfender, F., Volec, J., Young, M.: Rainbow triangles in three-colored graphs. J. Comb. Theory Ser. B 126, 83\u2013113 (2017)","journal-title":"J. Comb. Theory Ser. B"},{"key":"2313_CR5","volume-title":"Digraphs: Theory, Algorithms and Applications","author":"J Bang-Jensen","year":"2001","unstructured":"Bang-Jensen, J., Gutin, G.: Digraphs: Theory, Algorithms and Applications. Springer (2001)"},{"key":"2313_CR6","doi-asserted-by":"publisher","first-page":"1279","DOI":"10.1007\/s00373-015-1659-6","volume":"32","author":"A Bland","year":"2016","unstructured":"Bland, A.: Monochromatic sinks in $$k$$-arc colored tournaments. Graphs Comb. 32, 1279\u20131291 (2016)","journal-title":"Graphs Comb."},{"key":"2313_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-84628-970-5","volume-title":"Graph Theory","author":"JA Bondy","year":"2008","unstructured":"Bondy, J.A., Murty, U.S.R.: Graph Theory. Springer (2008)"},{"key":"2313_CR8","doi-asserted-by":"crossref","unstructured":"Ehard, S., Mohr, E.: Rainbow triangles and cliques in edge-colored graphs. Eur. J. Comb. 84 (2020)","DOI":"10.1016\/j.ejc.2019.103037"},{"key":"2313_CR9","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1016\/j.jctb.2014.09.005","volume":"111","author":"J Fox","year":"2015","unstructured":"Fox, J., Grinshpun, A., Pach, J.: The Erd\u00f6s\u2013Hajnal conjecture for rainbow triangles. J. Comb. Theory Ser. B 111, 75\u2013125 (2015)","journal-title":"J. Comb. Theory Ser. B"},{"key":"2313_CR10","doi-asserted-by":"publisher","first-page":"362","DOI":"10.1002\/jgt.22163","volume":"87","author":"S Fujita","year":"2018","unstructured":"Fujita, S., Li, R., Zhang, S.: Color degree and monochromatic degree conditions for short properly colored cycles in edge-colored graphs. J. Graph Theory 87, 362\u2013373 (2018)","journal-title":"J. Graph Theory"},{"key":"2313_CR11","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s00373-010-0891-3","volume":"26","author":"S Fujita","year":"2010","unstructured":"Fujita, S., Magnant, C., Ozeki, K.: Rainbow generalizations of Ramsey theory: a survey. Graphs Comb. 26, 1\u201330 (2010)","journal-title":"Graphs Comb."},{"key":"2313_CR12","doi-asserted-by":"publisher","first-page":"1956","DOI":"10.1016\/j.disc.2019.03.012","volume":"342","author":"S Fujita","year":"2019","unstructured":"Fujita, S., Ning, B., Xu, C., Zhang, S.: On sufficient conditions for rainbow cycles in edge-colored graphs. Discret. Math. 342, 1956\u20131965 (2019)","journal-title":"Discret. Math."},{"key":"2313_CR13","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1007\/BF02020961","volume":"18","author":"T Gallai","year":"1967","unstructured":"Gallai, T.: Transitiv orientierbare Graphen. Acta Math. Hungar. 18, 25\u201366 (1967)","journal-title":"Acta Math. Hungar."},{"key":"2313_CR14","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1002\/jgt.20001","volume":"46","author":"A Gy\u00e1rf\u00e1s","year":"2004","unstructured":"Gy\u00e1rf\u00e1s, A., Simonyi, G.: Edge colorings of complete graphs without tricolored triangles. J. Graph Theory 46, 211\u2013216 (2004)","journal-title":"J. Graph Theory"},{"key":"2313_CR15","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1016\/j.ejc.2017.06.022","volume":"66","author":"C Hoppen","year":"2017","unstructured":"Hoppen, C., Lefmann, H., Odermann, K.: On graphs with a large number of edge-colorings avoiding a rainbow triangle. Eur. J. Comb. 66, 168\u2013190 (2017)","journal-title":"Eur. J. Comb."},{"key":"2313_CR16","doi-asserted-by":"crossref","unstructured":"Jin, Z., Wang, F., Wang, H., Lv, B.: Rainbow triangles in edge-colored Kneser graphs. Appl. Math. Comput. 365 (2020)","DOI":"10.1016\/j.amc.2019.124724"},{"key":"2313_CR17","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/s00373-008-0789-5","volume":"24","author":"M Kano","year":"2008","unstructured":"Kano, M., Li, X.: Monochromatic and heterochromatic subgraphs in edge-colored graphs\u2014a survey. Graphs Comb. 24, 237\u2013263 (2008)","journal-title":"Graphs Comb."},{"key":"2313_CR18","doi-asserted-by":"publisher","first-page":"453","DOI":"10.1016\/j.ejc.2013.09.007","volume":"36","author":"B Li","year":"2014","unstructured":"Li, B., Ning, B., Xu, C., Zhang, S.: Rainbow triangles in edge-colored graphs. Eur. J. Comb. 36, 453\u2013459 (2014)","journal-title":"Eur. J. Comb."},{"key":"2313_CR19","doi-asserted-by":"publisher","first-page":"1893","DOI":"10.1016\/j.disc.2012.11.024","volume":"313","author":"H Li","year":"2013","unstructured":"Li, H.: Rainbow $$C_3$$\u2019s and $$C_4$$\u2019s in edge-colored graphs. Discret. Math. 313, 1893\u20131896 (2013)","journal-title":"Discret. Math."},{"key":"2313_CR20","doi-asserted-by":"publisher","first-page":"2001","DOI":"10.1007\/s00373-016-1690-2","volume":"32","author":"R Li","year":"2016","unstructured":"Li, R., Ning, B., Zhang, S.: Color degree sum conditions for rainbow triangles in edge-colored graphs. Graphs Comb. 32, 2001\u20132008 (2016)","journal-title":"Graphs Comb."}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-021-02313-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00373-021-02313-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-021-02313-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,30]],"date-time":"2021-06-30T07:12:03Z","timestamp":1625037123000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00373-021-02313-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,14]]},"references-count":20,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2021,7]]}},"alternative-id":["2313"],"URL":"https:\/\/doi.org\/10.1007\/s00373-021-02313-w","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"type":"print","value":"0911-0119"},{"type":"electronic","value":"1435-5914"}],"subject":[],"published":{"date-parts":[[2021,5,14]]},"assertion":[{"value":"21 February 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 March 2021","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 March 2021","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"14 May 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}