{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:05:47Z","timestamp":1740107147646,"version":"3.37.3"},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2018,12,4]],"date-time":"2018-12-04T00:00:00Z","timestamp":1543881600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"name":"The Joint NSFC-ISF Research Program","award":["11561141001"]},{"DOI":"10.13039\/501100001809","name":"The National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11531001"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2019,1]]},"DOI":"10.1007\/s00373-018-1996-3","type":"journal-article","created":{"date-parts":[[2018,12,3]],"date-time":"2018-12-03T21:49:42Z","timestamp":1543873782000},"page":"335-351","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Spectral Extremal Results with Forbidding Linear Forests"],"prefix":"10.1007","volume":"35","author":[{"given":"Ming-Zhu","family":"Chen","sequence":"first","affiliation":[]},{"given":"A-Ming","family":"Liu","sequence":"additional","affiliation":[]},{"given":"Xiao-Dong","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,12,4]]},"reference":[{"key":"1996_CR1","first-page":"1","volume":"15","author":"A Bhattacharya","year":"2008","unstructured":"Bhattacharya, A., Friedland, S., Peled, U.N.: On the first eigenvalue of bipartite graphs. Electron. J. Combin. 15, 1\u201323 (2008)","journal-title":"Electron. J. Combin."},{"key":"1996_CR2","volume-title":"Graph Theory","author":"JA Bondy","year":"2007","unstructured":"Bondy, J.A., Murty, U.S.R.: Graph Theory. Springer, New York (2007)"},{"key":"1996_CR3","doi-asserted-by":"publisher","first-page":"837","DOI":"10.1017\/S0963548311000460","volume":"20","author":"N Bushaw","year":"2011","unstructured":"Bushaw, N., Kettle, N.: Tur\u00e1n numbers of multiple paths and equibipartite forests. Comb. Probab. Comput. 20, 837\u2013853 (2011)","journal-title":"Comb. Probab. Comput."},{"key":"1996_CR4","doi-asserted-by":"publisher","first-page":"367","DOI":"10.1016\/j.endm.2015.07.061","volume":"50","author":"V Campos","year":"2015","unstructured":"Campos, V., Lopes, R.: A proof for a conjecture of Gorgol. Electron. Notes Discrete Math. 50, 367\u2013372 (2015)","journal-title":"Electron. Notes Discrete Math."},{"key":"1996_CR5","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1006\/jctb.1999.1926","volume":"78","author":"MN Ellingham","year":"2000","unstructured":"Ellingham, M.N., Zha, X.: The spectral radius of graphs on surfaces. J. Comb. Theory Ser. B 78, 45\u201346 (2000)","journal-title":"J. Comb. Theory Ser. B"},{"key":"1996_CR6","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1007\/BF02024498","volume":"10","author":"P Erd\u0151s","year":"1959","unstructured":"Erd\u0151s, P., Gallai, T.: On maximal paths and circuits of graphs. Acta Math. Acad. Sci. Hung. 10, 337\u2013356 (1959)","journal-title":"Acta Math. Acad. Sci. Hung."},{"key":"1996_CR7","doi-asserted-by":"publisher","first-page":"197","DOI":"10.1016\/0012-365X(93)90156-N","volume":"111","author":"O Favaron","year":"1993","unstructured":"Favaron, O., Mah\u00e9o, M., Sacl\u00e9, J.-F.: Some eigenvalue properties in graphs (conjectures of Graffiti-II). Discrete Math. 111, 197\u2013220 (1993)","journal-title":"Discrete Math."},{"key":"1996_CR8","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1006\/jctb.2000.1997","volume":"81","author":"Y Hong","year":"2001","unstructured":"Hong, Y., Shu, J.-L., Fang, K.-F.: A sharp upper bound of the spectral radius of graphs. J. Comb. Theory Ser. B 81, 177\u2013183 (2001)","journal-title":"J. Comb. Theory Ser. B"},{"key":"1996_CR9","first-page":"1","volume":"20","author":"B Lidick\u00fd","year":"2013","unstructured":"Lidick\u00fd, B., Liu, H., Palmer, C.: On the Tur\u00e1n number of forests. Electron. J. Comb. 20, 1\u201313 (2013)","journal-title":"Electron. J. Comb."},{"key":"1996_CR10","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1007\/BF02018473","volume":"3","author":"L Lov\u00e1sz","year":"1973","unstructured":"Lov\u00e1sz, L., Pelik\u00e1n, J.: On the eigenvalues of trees. Period. Math. Hung. 3, 175\u2013182 (1973)","journal-title":"Period. Math. Hung."},{"key":"1996_CR11","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1017\/S0963548301004928","volume":"11","author":"V Nikiforov","year":"2002","unstructured":"Nikiforov, V.: Some inequalities for the largest eigenvalue of a graph. Comb. Probab. Comput. 11, 179\u2013189 (2002)","journal-title":"Comb. Probab. Comput."},{"key":"1996_CR12","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1016\/j.laa.2007.07.010","volume":"427","author":"V Nikiforov","year":"2007","unstructured":"Nikiforov, V.: Bounds on graph eigenvalues II. Linear Algebra Appl. 427, 183\u2013189 (2007)","journal-title":"Linear Algebra Appl."},{"key":"1996_CR13","doi-asserted-by":"publisher","first-page":"1492","DOI":"10.1016\/j.laa.2007.09.029","volume":"428","author":"V Nikiforov","year":"2008","unstructured":"Nikiforov, V.: A spectral condition for odd cycles in graphs. Linear Algebra Appl. 428, 1492\u20131498 (2008)","journal-title":"Linear Algebra Appl."},{"key":"1996_CR14","doi-asserted-by":"publisher","first-page":"455","DOI":"10.1017\/S0963548309009687","volume":"18","author":"V Nikiforov","year":"2009","unstructured":"Nikiforov, V.: A spectral Erd\u0151s\u2013Stone\u2013Bollob\u00e1s theorem. Comb. Probab. Comput. 18, 455\u2013458 (2009)","journal-title":"Comb. Probab. Comput."},{"key":"1996_CR15","doi-asserted-by":"publisher","first-page":"2898","DOI":"10.1016\/j.laa.2009.01.002","volume":"430","author":"V Nikiforov","year":"2009","unstructured":"Nikiforov, V.: The maximum spectral radius of \n \n \n \n $$C_4$$\n \n \n \n C\n 4\n \n \n \n -free graphs of given order and size. Linear Algebra Appl. 430, 2898\u20132905 (2009)","journal-title":"Linear Algebra Appl."},{"key":"1996_CR16","doi-asserted-by":"publisher","first-page":"1405","DOI":"10.1016\/j.laa.2009.10.040","volume":"432","author":"V Nikiforov","year":"2010","unstructured":"Nikiforov, V.: A contribution to the Zarankiewicz problem. Linear Algebra Appl. 432, 1405\u20131411 (2010)","journal-title":"Linear Algebra Appl."},{"key":"1996_CR17","doi-asserted-by":"publisher","first-page":"2243","DOI":"10.1016\/j.laa.2009.05.023","volume":"432","author":"V Nikiforov","year":"2010","unstructured":"Nikiforov, V.: The spectral radius of graphs without paths and cycles of specified length. Linear Algebra Appl. 432, 2243\u20132256 (2010)","journal-title":"Linear Algebra Appl."},{"issue":"137","key":"1996_CR18","first-page":"436","volume":"48","author":"P Tur\u00e1n","year":"1941","unstructured":"Tur\u00e1n, P.: On an extremal problem in graph theory. Mat. Fiz. Lapok 48(137), 436\u2013452 (1941)","journal-title":"Mat. Fiz. Lapok"},{"key":"1996_CR19","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1016\/j.jctb.2017.04.006","volume":"126","author":"M Tait","year":"2017","unstructured":"Tait, M., Tobin, J.: Three conjectures in extremal spectral graph theory. J. Comb. Theory Ser. B 126, 137\u2013161 (2017)","journal-title":"J. Comb. Theory Ser. B"},{"key":"1996_CR20","doi-asserted-by":"publisher","first-page":"132","DOI":"10.1016\/j.disc.2016.08.004","volume":"340","author":"L-T Yuan","year":"2017","unstructured":"Yuan, L.-T., Zhang, X.-D.: The Tur\u00e1n number of disjoint copies of paths. Discrete Math. 340, 132\u2013139 (2017)","journal-title":"Discrete Math."},{"key":"1996_CR21","first-page":"599","volume":"23","author":"W Yuan","year":"2012","unstructured":"Yuan, W., Wang, B., Zhai, M.: On the spectral radii of graphs without given cycles. Electron. J. Linear Algebra 23, 599\u2013606 (2012)","journal-title":"Electron. J. Linear Algebra"},{"key":"1996_CR22","doi-asserted-by":"publisher","first-page":"1641","DOI":"10.1016\/j.laa.2012.05.006","volume":"437","author":"M Zhai","year":"2012","unstructured":"Zhai, M., Wang, B.: Proof of a conjecture on the spectral radius of \n \n \n \n $$C_4$$\n \n \n \n C\n 4\n \n \n \n -free graphs. Linear Algebra Appl. 437, 1641\u20131647 (2012)","journal-title":"Linear Algebra Appl."}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00373-018-1996-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-018-1996-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-018-1996-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,12,3]],"date-time":"2019-12-03T19:27:01Z","timestamp":1575401221000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00373-018-1996-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,12,4]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2019,1]]}},"alternative-id":["1996"],"URL":"https:\/\/doi.org\/10.1007\/s00373-018-1996-3","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"type":"print","value":"0911-0119"},{"type":"electronic","value":"1435-5914"}],"subject":[],"published":{"date-parts":[[2018,12,4]]},"assertion":[{"value":"19 May 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 November 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 December 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}