{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,3]],"date-time":"2023-10-03T11:57:28Z","timestamp":1696334248689},"reference-count":17,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1991,3,1]],"date-time":"1991-03-01T00:00:00Z","timestamp":667785600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":8174,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Applied Mathematics"],"published-print":{"date-parts":[[1991,3]]},"DOI":"10.1016\/0166-218x(91)90028-u","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T23:43:01Z","timestamp":1027640581000},"page":"1-21","source":"Crossref","is-referenced-by-count":5,"title":["Matrice de ramification des arbres binaires"],"prefix":"10.1016","volume":"31","author":[{"given":"J.G.","family":"Penaud","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0166-218X(91)90028-U_BIB1","series-title":"Th\u00e8se d'\u00c9tat","article-title":"Utilisation des langages alg\u00e9briques et du calcul formel pour le codage et l'\u00e9num\u00e9ration des polyominos","author":"Delest","year":"1987"},{"issue":"8","key":"10.1016\/0166-218X(91)90028-U_BIB2","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1145\/368892.368907","article-title":"On programming of arithmetic operations","volume":"1","author":"Ershov","year":"1958","journal-title":"Comm. ACM"},{"key":"10.1016\/0166-218X(91)90028-U_BIB3","article-title":"Mathematical methods in the analysis of algorithms and data structures","author":"Flajolet","year":"1985","journal-title":"INRIA Res. Rept. 400"},{"key":"10.1016\/0166-218X(91)90028-U_BIB4","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/0304-3975(79)90009-4","article-title":"The number of registers required for evaluating arithmetic expressions","volume":"9","author":"Flajolet","year":"1979","journal-title":"Theoret. Comput. Sci."},{"key":"10.1016\/0166-218X(91)90028-U_BIB5","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/0022-0000(82)90004-6","article-title":"The average height of binary trees and other simple trees","volume":"25","author":"Flajolet","year":"1982","journal-title":"J. Comput. System. Sci."},{"key":"10.1016\/0166-218X(91)90028-U_BIB6","first-page":"335","article-title":"Sur le nombre de registres n\u00e9cessaires \u00e0 l'\u00e9valuation d'une expression arithm\u00e9tique","volume":"18","author":"Fran\u00e7on","year":"1984","journal-title":"RAIRO Inform. Th\u00e9or. Appl."},{"key":"10.1016\/0166-218X(91)90028-U_BIB7","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1130\/0016-7606(1945)56[275:EDOSAT]2.0.CO;2","article-title":"Erosional development of streams and their drainage basins, hydrophysical approach to quantitative morphology","volume":"56","author":"Horton","year":"1945","journal-title":"Bull. Geol. Soc. Amer."},{"key":"10.1016\/0166-218X(91)90028-U_BIB8","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1007\/BF00289094","article-title":"The average number of registers needed to evaluate a binary tree optimally","volume":"11","author":"Kemp","year":"1979","journal-title":"Acta Inform."},{"key":"10.1016\/0166-218X(91)90028-U_BIB9","series-title":"The Art of Computer Programming: Fundamental Algorithms","author":"Knuth","year":"1968"},{"key":"10.1016\/0166-218X(91)90028-U_BIB10","first-page":"1","article-title":"Sur les \u00e9ventails de segments","volume":"15","author":"Kreweras","year":"1970","journal-title":"Cahiers BURO"},{"key":"10.1016\/0166-218X(91)90028-U_BIB11","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1137\/0601005","article-title":"On the order of random channel networks","volume":"1","author":"Meir","year":"1980","journal-title":"SIAM J. Algebraic Discrete Methods"},{"key":"10.1016\/0166-218X(91)90028-U_BIB12","series-title":"Proceedings Symposium on Mathematical Theory of Automata","first-page":"139","article-title":"Certain elementary families of automata","author":"Sch\u00fctzenberger","year":"1962"},{"key":"10.1016\/0166-218X(91)90028-U_BIB13","doi-asserted-by":"crossref","first-page":"1117","DOI":"10.1130\/0016-7606(1952)63[1117:HAAOET]2.0.CO;2","article-title":"Hypsometric (area-altitude) analysis of erosional topology","volume":"63","author":"Strahler","year":"1952","journal-title":"Bull. Geol. Soc. Amer."},{"key":"10.1016\/0166-218X(91)90028-U_BIB14","doi-asserted-by":"crossref","first-page":"1529","DOI":"10.1007\/BF01044733","article-title":"Combinatorials tools for the analysis of ramified patterns","volume":"54","author":"Vannimenus","year":"1989","journal-title":"J. Statist. Phys."},{"key":"10.1016\/0166-218X(91)90028-U_BIB15","first-page":"360","article-title":"Enumeration of RNAs secondary structure by complexity","volume":"37","author":"Vauchaussade de Chaumont","year":"1985"},{"key":"10.1016\/0166-218X(91)90028-U_BIB16","series-title":"M\u00e9langes","article-title":"Trees","author":"Viennot","year":"1989"},{"key":"10.1016\/0166-218X(91)90028-U_BIB17","doi-asserted-by":"crossref","DOI":"10.1145\/74334.74336","article-title":"Combinatorial analysis of ramified patterns and computer imagery of trees","author":"Viennot","year":"1989","journal-title":"Proceedings of SIGGRAPH 89,"}],"container-title":["Discrete Applied Mathematics"],"original-title":[],"language":"fr","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X9190028U?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166218X9190028U?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T01:58:31Z","timestamp":1555120711000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0166218X9190028U"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,3]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1991,3]]}},"alternative-id":["0166218X9190028U"],"URL":"https:\/\/doi.org\/10.1016\/0166-218x(91)90028-u","relation":{},"ISSN":["0166-218X"],"issn-type":[{"value":"0166-218X","type":"print"}],"subject":[],"published":{"date-parts":[[1991,3]]}}}