{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T15:27:19Z","timestamp":1775834839250,"version":"3.50.1"},"reference-count":42,"publisher":"Elsevier BV","issue":"3","license":[{"start":{"date-parts":[[1985,12,1]],"date-time":"1985-12-01T00:00:00Z","timestamp":502243200000},"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":10090,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Mathematics"],"published-print":{"date-parts":[[1985,12]]},"DOI":"10.1016\/0012-365x(85)90179-7","type":"journal-article","created":{"date-parts":[[2003,1,17]],"date-time":"2003-01-17T17:34:03Z","timestamp":1042824843000},"page":"261-284","source":"Crossref","is-referenced-by-count":50,"title":["Graph-encoded 3-manifolds"],"prefix":"10.1016","volume":"57","author":[{"given":"S\u00f3stenes","family":"Lins","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arnaldo","family":"Mandel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0012-365X(85)90179-7_BIB1","doi-asserted-by":"crossref","first-page":"292","DOI":"10.2307\/1968099","article-title":"The combinatorial theory of complexes","volume":"31","author":"Alexander","year":"1930","journal-title":"Ann. Math."},{"key":"10.1016\/0012-365X(85)90179-7_BIB2","first-page":"132","article-title":"Pseudo-disseczioni e triangolazioni contratte di spazzi con singolarit\u00e0 isolate","volume":"27","author":"Cavicchioli","year":"1978","journal-title":"Atti Sem. Mat. Fis. Univ. Modena"},{"key":"10.1016\/0012-365X(85)90179-7_BIB3","first-page":"131","article-title":"A new handlebody decomposition of 3-manifolds with connected boundary and their fundamental group","volume":"18-B","author":"Cavicchioli","year":"1981","journal-title":"Boll. Un. Mat. Ital."},{"key":"10.1016\/0012-365X(85)90179-7_BIB4","first-page":"233","article-title":"A 3-manifold invariant independent of the homotopy type","volume":"I-D","author":"Cavicchioli","year":"1982","journal-title":"Boll. Un-Mat. Ital"},{"key":"10.1016\/0012-365X(85)90179-7_BIB5","series-title":"Lins-Mandel crystallization","author":"Cavicchioli","year":"1984"},{"key":"10.1016\/0012-365X(85)90179-7_BIB6","first-page":"902","article-title":"Crystallizations of PL-manifolds with connected boundary","volume":"17-B","author":"Cavicchioli","year":"1980","journal-title":"Boll. Un. Mat. Ital."},{"key":"10.1016\/0012-365X(85)90179-7_BIB7","first-page":"1146","article-title":"Su di una decomposizione normale per le n-variet\u00e0 chiuse","volume":"17-B","author":"Cavicchioli","year":"1980","journal-title":"Boll. Un. Mat. Ital."},{"key":"10.1016\/0012-365X(85)90179-7_BIB8","series-title":"Generators and relations for the discrete groups","author":"Coxeter","year":"1972"},{"key":"10.1016\/0012-365X(85)90179-7_BIB9","first-page":"250","article-title":"Una reppresentazione delle n-variet\u00e0 topologiche triangolabili mediante grafi (n + 1)-colorati","volume":"13-B","author":"Ferri","year":"1976","journal-title":"Boll. Un. Mat. Ital."},{"key":"10.1016\/0012-365X(85)90179-7_BIB10","first-page":"271","article-title":"Crystallizations of 2-fold branched coverings of S3","volume":"73","author":"Ferri","year":"1979","journal-title":"Proc. Amer. Math. Soc."},{"key":"10.1016\/0012-365X(85)90179-7_BIB11","unstructured":"M. Ferri, Personal communication."},{"key":"10.1016\/0012-365X(85)90179-7_BIB12","doi-asserted-by":"crossref","first-page":"85","DOI":"10.2140\/pjm.1982.100.85","article-title":"Cristallization Moves","volume":"100","author":"Ferri","year":"1982","journal-title":"Pacific J. Math."},{"key":"10.1016\/0012-365X(85)90179-7_BIB13","doi-asserted-by":"crossref","first-page":"331","DOI":"10.1007\/BF00148238","article-title":"On the genus of 4-dimensional products of manifolds","volume":"13","author":"Ferri","year":"1982","journal-title":"Geom. Dedicata"},{"key":"10.1016\/0012-365X(85)90179-7_BIB14","first-page":"302","article-title":"Spezzamenti alla Heegaard per variet\u00e0 n-dimensionali","volume":"13-A","author":"Gagliardi","year":"1976","journal-title":"Boll. Un. Mat. Ital."},{"key":"10.1016\/0012-365X(85)90179-7_BIB15","first-page":"441","article-title":"A combinatorial characterization of 3-manifold crystallizations","volume":"16-A","author":"Gagliardi","year":"1979","journal-title":"Boll. Un. Mat. Ital."},{"key":"10.1016\/0012-365X(85)90179-7_BIB16","first-page":"441","article-title":"How to deduce the fundamental group of a closed n-manifold from a conctracted triangulation","volume":"4","author":"Gagliardi","year":"1979","journal-title":"J. Combin. Inform. Syst. Sci."},{"key":"10.1016\/0012-365X(85)90179-7_BIB17","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1007\/BF00181201","article-title":"Regular imbeddings of edge-coloured graphs","volume":"11","author":"Gagliardi","year":"1981","journal-title":"Geom. Dedicata"},{"key":"10.1016\/0012-365X(85)90179-7_BIB18","first-page":"473","article-title":"Extending the concept of genus to dimension n","volume":"81","author":"Gagliardi","year":"1981"},{"key":"10.1016\/0012-365X(85)90179-7_BIB19","first-page":"389","article-title":"Recognizing a 3-dimensional handle among 4-coloured graphs","volume":"31","author":"Gagliardi","year":"1982","journal-title":"Ricerche Mat."},{"key":"10.1016\/0012-365X(85)90179-7_BIB20","series-title":"3-manifolds","author":"Hempel","year":"1976"},{"key":"10.1016\/0012-365X(85)90179-7_BIB21","article-title":"Graphs of maps","author":"Lins","year":"1980"},{"key":"10.1016\/0012-365X(85)90179-7_BIB22","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/0095-8956(82)90033-8","article-title":"Graph-encoded maps","volume":"32","author":"Lins","year":"1982","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/0012-365X(85)90179-7_BIB23","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/0012-365X(80)90232-0","article-title":"A sequence representation for maps","volume":"30","author":"Lins","year":"1980","journal-title":"Discrete Math."},{"key":"10.1016\/0012-365X(85)90179-7_BIB24","doi-asserted-by":"crossref","unstructured":"S. Lins, On the fundamental group of 3-gems and a \u2018planar\u2019 class of 3-manifolds, European J. Combin., to appear.","DOI":"10.1016\/S0195-6698(88)80060-X"},{"key":"10.1016\/0012-365X(85)90179-7_BIB25","doi-asserted-by":"crossref","unstructured":"S. Lins, A simple proof of Gagliardi's handle recognition theorem, Discrete Math., this issue.","DOI":"10.1016\/0012-365X(85)90178-5"},{"key":"10.1016\/0012-365X(85)90179-7_BIB26","doi-asserted-by":"crossref","unstructured":"S. Lins, Paintings: a planar approach to higher dimensions, Geom. Dedicata, to appear.","DOI":"10.1007\/BF00149269"},{"key":"10.1016\/0012-365X(85)90179-7_BIB27","article-title":"Topology of oriented matroids","author":"Mandel","year":"1982"},{"key":"10.1016\/0012-365X(85)90179-7_BIB28","series-title":"Geometric topology in dimensions 2 and 3","author":"Moise","year":"1977"},{"key":"10.1016\/0012-365X(85)90179-7_BIB29","first-page":"1","article-title":"On the division of euclidian n-space by topological (n\u22121)-spheres","volume":"257","author":"Newman","year":"1960"},{"key":"10.1016\/0012-365X(85)90179-7_BIB30","first-page":"269","article-title":"Sulla struttura topologica delle variet\u00e0 compatte","volume":"23","author":"Pezzana","year":"1974","journal-title":"Atti Sem. Mat. Fis. Univ. Modena"},{"issue":"3","key":"10.1016\/0012-365X(85)90179-7_BIB31","first-page":"98","article-title":"Diagrammi di Heegaard e triangolazione contratta","volume":"12","author":"Pezzana","year":"1975","journal-title":"Boll. Univ. Mat. Ital."},{"key":"10.1016\/0012-365X(85)90179-7_BIB32","series-title":"Introduction to piecewise linear topology","author":"Rourke","year":"1980"},{"key":"10.1016\/0012-365X(85)90179-7_BIB33","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1090\/S0002-9947-1976-0415620-9","article-title":"Closed 3-manifolds with no periodic maps","volume":"221","author":"Raymond","year":"1976","journal-title":"Trans. A.M.S."},{"key":"10.1016\/0012-365X(85)90179-7_BIB34","series-title":"Classical topology and combinatorial group theory","author":"Stillwell","year":"1980"},{"key":"10.1016\/0012-365X(85)90179-7_BIB35","series-title":"A textbook on topology","author":"Seifert","year":"1980"},{"key":"10.1016\/0012-365X(85)90179-7_BIB36","unstructured":"S. Sidki, Personal communication."},{"key":"10.1016\/0012-365X(85)90179-7_BIB37","first-page":"743","article-title":"How to draw a graph","volume":"13","author":"Tutte","year":"1963"},{"key":"10.1016\/0012-365X(85)90179-7_BIB38","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0095-8956(83)90002-3","article-title":"Combinatorial maps","volume":"34","author":"Vince","year":"1983","journal-title":"J. Combin. Theory Ser. B"},{"key":"10.1016\/0012-365X(85)90179-7_BIB39","unstructured":"A. Vince, Graphic matroids, shellability and the Poincar\u00e9's conjecture, Geom. Dedicata, to appear."},{"key":"10.1016\/0012-365X(85)90179-7_BIB40","unstructured":"I.A. Volodin, V.E. Kutzetsov and A.T. Fomenko, The problem of discriminating algorithmically"},{"key":"10.1016\/0012-365X(85)90179-7_BIB41","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1070\/RM1974v029n05ABEH001296","volume":"29","year":"1974","journal-title":"Russian Math. Surveys"},{"key":"10.1016\/0012-365X(85)90179-7_BIB42","first-page":"228","article-title":"Alcune osservazioni sul riconoscimento di S1 \u00d7 S2","volume":"31","author":"Volzone","year":"1982","journal-title":"Atti Sem. Mat. Fis. Univ. Modena"}],"container-title":["Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X85901797?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0012365X85901797?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,1,8]],"date-time":"2024-01-08T20:07:10Z","timestamp":1704744430000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0012365X85901797"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,12]]},"references-count":42,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1985,12]]}},"alternative-id":["0012365X85901797"],"URL":"https:\/\/doi.org\/10.1016\/0012-365x(85)90179-7","relation":{},"ISSN":["0012-365X"],"issn-type":[{"value":"0012-365X","type":"print"}],"subject":[],"published":{"date-parts":[[1985,12]]}}}