{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T19:54:09Z","timestamp":1648670049980},"reference-count":15,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2019,3,28]],"date-time":"2019-03-28T00:00:00Z","timestamp":1553731200000},"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":["Comp. Appl. Math."],"published-print":{"date-parts":[[2019,6]]},"DOI":"10.1007\/s40314-019-0846-0","type":"journal-article","created":{"date-parts":[[2019,3,28]],"date-time":"2019-03-28T18:03:29Z","timestamp":1553796209000},"update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the periods of a continuous self-map on a graph"],"prefix":"10.1007","volume":"38","author":[{"given":"Juan Luis Garc\u00eda","family":"Guirao","sequence":"first","affiliation":[]},{"given":"Jaume","family":"Llibre","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,3,28]]},"reference":[{"key":"846_CR1","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1090\/S0002-9947-1965-0175106-9","volume":"114","author":"RL Adler","year":"1965","unstructured":"Adler RL, Konheim AG, McAndrew MH (1965) Topological entropy. Trans Am Math Soc 114:309\u2013319","journal-title":"Trans Am Math Soc"},{"issue":"2","key":"846_CR2","doi-asserted-by":"publisher","first-page":"391","DOI":"10.21042\/AMNS.2016.2.00034","volume":"1","author":"F Balibrea","year":"2016","unstructured":"Balibrea F (2016) On problems of topological dynamics in non-autonomous discrete systems. Appl Math Nonlinear Sci 1(2):391\u2013404","journal-title":"Appl Math Nonlinear Sci"},{"key":"846_CR3","first-page":"24","volume-title":"The spectral decomposition, periods of cycles and Misiurewicz conjecture for graph maps. Lecture notes in mathematics","author":"AM Blokh","year":"1991","unstructured":"Blokh AM (1991) The spectral decomposition, periods of cycles and Misiurewicz conjecture for graph maps. Lecture notes in mathematics. Springer, Berlin, pp 24\u201331"},{"key":"846_CR4","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1090\/S0002-9947-1971-0274707-X","volume":"153","author":"R Bowen","year":"1971","unstructured":"Bowen R (1971) Entropy for group endomorphisms and homogeneous spaces. Trans Am Math Soc 153:401\u2013414 (erratum: Trans. Amer. Math. Soc. 181:509\u2013510)","journal-title":"Trans Am Math Soc"},{"key":"846_CR5","volume-title":"The Lefschetz fixed point theorem","author":"RF Brown","year":"1971","unstructured":"Brown RF (1971) The Lefschetz fixed point theorem. Scott, Foresman and Company, Glenview"},{"key":"846_CR6","doi-asserted-by":"crossref","unstructured":"Franks J (1982) Homology and dynamical systems, CBMS Regional Conference Series in Mathematics, vol 49, American Mathematical Society, Providence, RI","DOI":"10.1090\/cbms\/049"},{"key":"846_CR7","doi-asserted-by":"publisher","first-page":"173","DOI":"10.1016\/0001-8708(85)90028-3","volume":"56","author":"M Handel","year":"1985","unstructured":"Handel M, Thurston WP (1985) New proofs of some results of Nielsen. Adv Math 56:173\u2013191","journal-title":"Adv Math"},{"key":"846_CR8","volume-title":"Handbook of dynamical systems","author":"B Hasselblatt","year":"2002","unstructured":"Hasselblatt B, Katok A (2002) Handbook of dynamical systems, vol 1A. Elsevier, Amsterdam"},{"key":"846_CR9","doi-asserted-by":"publisher","first-page":"985","DOI":"10.1080\/00029890.1975.11994008","volume":"82","author":"TY Li","year":"1975","unstructured":"Li TY, Yorke J (1975) Period three implies chaos. Am Math Mon 82:985\u2013992","journal-title":"Am Math Mon"},{"key":"846_CR10","doi-asserted-by":"publisher","first-page":"2228","DOI":"10.1016\/j.topol.2012.03.005","volume":"159","author":"J Llibre","year":"2012","unstructured":"Llibre J (2012) Periodic point free continuous self-maps on graphs and surfaces. Topol Appl 159:2228\u20132231","journal-title":"Topol Appl"},{"key":"846_CR11","doi-asserted-by":"publisher","first-page":"649","DOI":"10.1016\/0040-9383(93)90014-M","volume":"52","author":"J Llibre","year":"1993","unstructured":"Llibre J, Misiurewicz M (1993) Horseshoes, entropy and periods for graph maps. Topology 52:649\u2013664","journal-title":"Topology"},{"key":"846_CR12","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1080\/10236198.2011.561202","volume":"18","author":"J Llibre","year":"2012","unstructured":"Llibre J, Saghin R (2012) Topological entropy and periods of graph maps. J Differ Equ Appl 18:589\u2013598","journal-title":"J Differ Equ Appl"},{"key":"846_CR13","unstructured":"Manning A (ed) (1975) Topological entropy and the first homology group. In: Dynamical systems\u2014Warwick, (1974) Lecture notes in mathematics, vol 468. Springer, Berlin, pp 185\u2013190"},{"key":"846_CR14","doi-asserted-by":"publisher","first-page":"1185","DOI":"10.1007\/s40314-016-0317-9","volume":"36","author":"C Mendes de Jesus","year":"2017","unstructured":"Mendes de Jesus C (2017) Graphs of stable maps between closed orientable surfaces. Comput Appl Math 36:1185\u20131194","journal-title":"Comput Appl Math"},{"key":"846_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9322-1","volume-title":"Algebr Topol","author":"EH Spanier","year":"1981","unstructured":"Spanier EH (1981) Algebr Topol. Springer, New York"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-019-0846-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s40314-019-0846-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-019-0846-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,3,27]],"date-time":"2020-03-27T00:27:58Z","timestamp":1585268878000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s40314-019-0846-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,28]]},"references-count":15,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2019,6]]}},"alternative-id":["846"],"URL":"https:\/\/doi.org\/10.1007\/s40314-019-0846-0","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"value":"2238-3603","type":"print"},{"value":"1807-0302","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,3,28]]},"assertion":[{"value":"31 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 October 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 November 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 March 2019","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"78"}}