{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,9]],"date-time":"2025-05-09T15:19:23Z","timestamp":1746803963955,"version":"3.40.5"},"reference-count":24,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2014,3,1]],"date-time":"2014-03-01T00:00:00Z","timestamp":1393632000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2018,4,16]],"date-time":"2018-04-16T00:00:00Z","timestamp":1523836800000},"content-version":"vor","delay-in-days":1507,"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"funder":[{"name":"NSC","award":["101-2115-M-033-004"],"award-info":[{"award-number":["101-2115-M-033-004"]}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[2014,3]]},"DOI":"10.1016\/j.dam.2013.09.027","type":"journal-article","created":{"date-parts":[[2013,10,19]],"date-time":"2013-10-19T12:00:17Z","timestamp":1382184017000},"page":"71-83","update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":2,"special_numbering":"C","title":["The<mml:math xmlns:mml=\"https:\/\/2.zoppoz.workers.dev:443\/http\/www.w3.org\/1998\/Math\/MathML\" altimg=\"si7.gif\" display=\"inline\" overflow=\"scroll\"><mml:mi>D<\/mml:mi><\/mml:math>-representation of nonnegative integers and the Fibonacci factorization of suffixes of infinite Fibonacci words"],"prefix":"10.1016","volume":"166","author":[{"given":"Wai-Fong","family":"Chuan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fang-Yi","family":"Liao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.dam.2013.09.027_br000005","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1080\/00150517.1964.12431482","article-title":"Zeckendorf\u2019s theorem and some applications","volume":"2","author":"Brown","year":"1964","journal-title":"Fibonacci Quart."},{"key":"10.1016\/j.dam.2013.09.027_br000010","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/00150517.1965.12431449","article-title":"A new characterization of the Fibonacci numbers","volume":"3","author":"Brown","year":"1965","journal-title":"Fibonacci Quart."},{"key":"10.1016\/j.dam.2013.09.027_br000015","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1080\/00150517.1991.12429415","article-title":"The Zeckendorf representation and the golden sequence","volume":"29","author":"Bunder","year":"1991","journal-title":"Fibonacci Quart."},{"key":"10.1016\/j.dam.2013.09.027_br000020","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1080\/00150517.1992.12429386","article-title":"Fibonacci words","volume":"30","author":"Chuan","year":"1992","journal-title":"Fibonacci Quart."},{"key":"10.1016\/j.dam.2013.09.027_br000025","series-title":"Applications of Fibonacci Numbers, Vol. 5","first-page":"113","article-title":"Embedding Fibonacci words into Fibonacci word patterns","author":"Chuan","year":"1993"},{"key":"10.1016\/j.dam.2013.09.027_br000030","series-title":"Applications of Fibonacci Numbers, Vol. 6","first-page":"73","article-title":"Subwords of the golden sequence and the Fibonacci words","author":"Chuan","year":"1996"},{"key":"10.1016\/j.dam.2013.09.027_br000035","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/S0012-365X(96)00355-X","article-title":"\u03b1-words and factors of characteristic sequences","volume":"177","author":"Chuan","year":"1997","journal-title":"Discrete Math."},{"key":"10.1016\/j.dam.2013.09.027_br000040","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1016\/S0166-218X(97)00142-X","article-title":"A representation theorem of the suffixes of characteristic sequences","volume":"85","author":"Chuan","year":"1998","journal-title":"Discrete Appl. Math."},{"key":"10.1016\/j.dam.2013.09.027_br000045","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1016\/S0304-3975(98)00104-2","article-title":"Unbordered factors of the characteristic sequences of irrational numbers","volume":"205","author":"Chuan","year":"1998","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/j.dam.2013.09.027_br000050","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1080\/00150517.2000.12428769","article-title":"Suffixes of Fibonacci word patterns","volume":"38","author":"Chuan","year":"2000","journal-title":"Fibonacci Quart."},{"key":"10.1016\/j.dam.2013.09.027_br000055","doi-asserted-by":"crossref","first-page":"876","DOI":"10.1016\/j.tcs.2010.11.038","article-title":"\u03b1-words and the radix order","volume":"412","author":"Chuan","year":"2011","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/j.dam.2013.09.027_br000060","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/j.tcs.2005.08.033","article-title":"Locating factors of the infinite Fibonacci word","volume":"349","author":"Chuan","year":"2005","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/j.dam.2013.09.027_br000065","doi-asserted-by":"crossref","first-page":"2827","DOI":"10.1016\/j.tcs.2010.04.013","article-title":"Factors of characteristic words: location and decompositions","volume":"411","author":"Chuan","year":"2010","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/j.dam.2013.09.027_br000070","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1016\/j.tcs.2012.02.020","article-title":"Fibonacci word patterns in two-way infinite Fibonacci words","volume":"437","author":"Chuan","year":"2012","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/j.dam.2013.09.027_br000075","doi-asserted-by":"crossref","first-page":"76","DOI":"10.1080\/00150517.2007.12428245","article-title":"Three new extraction formulae","volume":"45","author":"Chuan","year":"2007","journal-title":"Fibonacci Quart."},{"key":"10.1016\/j.dam.2013.09.027_br000080","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1016\/0020-0190(81)90099-5","article-title":"A combinatorial property of the Fibonacci words","volume":"12","author":"de Luca","year":"1981","journal-title":"Inform. Process. Lett."},{"key":"10.1016\/j.dam.2013.09.027_br000085","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/0020-0190(95)00067-M","article-title":"A division property of the Fibonacci word","volume":"54","author":"de Luca","year":"1995","journal-title":"Inform. Process. Lett."},{"key":"10.1016\/j.dam.2013.09.027_br000090","series-title":"A Primer for the Fibonacci Numbers: Part XII","first-page":"127","article-title":"On representations of integers using Fibonacci numbers","author":"Hoggatt","year":"1973"},{"key":"10.1016\/j.dam.2013.09.027_br000095","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/S0304-3975(96)00141-7","article-title":"A characterization of the squares in a Fibonacci string","volume":"172","author":"Iliopoulos","year":"1997","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/j.dam.2013.09.027_br000100","series-title":"The Art of Computer Programming, Vol. 1","first-page":"86","author":"Knuth","year":"1973"},{"year":"2002","series-title":"Algebraic Combinatorics on Words","author":"Lothaire","key":"10.1016\/j.dam.2013.09.027_br000105"},{"key":"10.1016\/j.dam.2013.09.027_br000110","series-title":"Applications of Fibonacci Numbers, Vol. 3","first-page":"325","article-title":"The Fibonacci tree, Hofstadter and the golden string","author":"Tognetti","year":"1990"},{"key":"10.1016\/j.dam.2013.09.027_br000115","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1080\/00150517.1988.12429629","article-title":"Fibonacci word patterns and binary sequences","volume":"26","author":"Turner","year":"1988","journal-title":"Fibonacci Quart."},{"key":"10.1016\/j.dam.2013.09.027_br000120","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1006\/eujc.1994.1060","article-title":"Some properties of the singular words of the Fibonacci word","volume":"15","author":"Wen","year":"1994","journal-title":"European J. Combin."}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/api.elsevier.com\/content\/article\/PII:S0166218X13004320?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/api.elsevier.com\/content\/article\/PII:S0166218X13004320?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T17:39:05Z","timestamp":1746034745000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/linkinghub.elsevier.com\/retrieve\/pii\/S0166218X13004320"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,3]]},"references-count":24,"alternative-id":["S0166218X13004320"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1016\/j.dam.2013.09.027","relation":{},"ISSN":["0166-218X"],"issn-type":[{"type":"print","value":"0166-218X"}],"subject":[],"published":{"date-parts":[[2014,3]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"The -representation of nonnegative integers and the Fibonacci factorization of suffixes of infinite Fibonacci words","name":"articletitle","label":"Article Title"},{"value":"Discrete Applied Mathematics","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1016\/j.dam.2013.09.027","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2014 Published by Elsevier B.V.","name":"copyright","label":"Copyright"}]}}