{"id":"https://openalex.org/W2079562313","doi":"https://doi.org/10.1145/1073884.1073892","title":"Adherence is better than adjacency","display_name":"Adherence is better than adjacency","publication_year":2005,"publication_date":"2005-07-24","ids":{"openalex":"https://openalex.org/W2079562313","doi":"https://doi.org/10.1145/1073884.1073892","mag":"2079562313"},"language":"en","primary_location":{"id":"doi:10.1145/1073884.1073892","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1073884.1073892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000924472","display_name":"James C. Beaumont","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"James C. Beaumont","raw_affiliation_strings":["University of Bath, Bath, England","University of Bath Bath, England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, England","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"University of Bath Bath, England","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073640180","display_name":"Russell Bradford","orcid":"https://orcid.org/0009-0003-3251-2051"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Russell J. Bradford","raw_affiliation_strings":["University of Bath, Bath, England","University of Bath Bath, England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, England","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"University of Bath Bath, England","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043054372","display_name":"James H. Davenport","orcid":"https://orcid.org/0000-0002-3982-7545"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"James H. Davenport","raw_affiliation_strings":["University of Bath, Bath, England","University of Bath Bath, England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, England","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"University of Bath Bath, England","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062370764","display_name":"Nalina Phisanbut","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Nalina Phisanbut","raw_affiliation_strings":["University of Bath, Bath, England","University of Bath Bath, England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bath, Bath, England","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"University of Bath Bath, England","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I51601045"],"apc_list":null,"apc_paid":null,"fwci":2.1058,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.86457205,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"33","issue":null,"first_page":"37","last_page":"44"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/riemann-surface","display_name":"Riemann surface","score":0.6487337350845337},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.5758997201919556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5452282428741455},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5341632962226868},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5306165218353271},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5100491642951965},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5023245811462402},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4896710216999054},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4649905562400818},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4566579759120941},{"id":"https://openalex.org/keywords/geometric-function-theory","display_name":"Geometric function theory","score":0.43911048769950867},{"id":"https://openalex.org/keywords/algebraic-surface","display_name":"Algebraic surface","score":0.43845269083976746},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.41473817825317383},{"id":"https://openalex.org/keywords/algebraic-function","display_name":"Algebraic function","score":0.41088393330574036},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3604815602302551},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35349684953689575},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.329958438873291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32942524552345276},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.298850953578949},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24484354257583618},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22525697946548462}],"concepts":[{"id":"https://openalex.org/C18556879","wikidata":"https://www.wikidata.org/wiki/Q753035","display_name":"Riemann surface","level":2,"score":0.6487337350845337},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.5758997201919556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5452282428741455},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5341632962226868},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5306165218353271},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5100491642951965},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5023245811462402},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4896710216999054},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4649905562400818},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4566579759120941},{"id":"https://openalex.org/C112468886","wikidata":"https://www.wikidata.org/wiki/Q5535485","display_name":"Geometric function theory","level":3,"score":0.43911048769950867},{"id":"https://openalex.org/C69653121","wikidata":"https://www.wikidata.org/wiki/Q1434805","display_name":"Algebraic surface","level":3,"score":0.43845269083976746},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.41473817825317383},{"id":"https://openalex.org/C148607811","wikidata":"https://www.wikidata.org/wiki/Q746863","display_name":"Algebraic function","level":3,"score":0.41088393330574036},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3604815602302551},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35349684953689575},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.329958438873291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32942524552345276},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.298850953578949},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24484354257583618},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22525697946548462},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1073884.1073892","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1073884.1073892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005 international symposium on Symbolic and algebraic computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4699999988079071,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1545148392","https://openalex.org/W1546921029","https://openalex.org/W1558198085","https://openalex.org/W1585277169","https://openalex.org/W1775975234","https://openalex.org/W1971666500","https://openalex.org/W1984527805","https://openalex.org/W1990040771","https://openalex.org/W2016056788","https://openalex.org/W2021123097","https://openalex.org/W2021362627","https://openalex.org/W2043731793","https://openalex.org/W2050483103","https://openalex.org/W2051595244","https://openalex.org/W2063118073","https://openalex.org/W2063402394","https://openalex.org/W2067974800","https://openalex.org/W2068728923","https://openalex.org/W2078716983","https://openalex.org/W2083065108","https://openalex.org/W2091678778","https://openalex.org/W2094438648","https://openalex.org/W2116043583","https://openalex.org/W2146331214","https://openalex.org/W2162177141","https://openalex.org/W2801179766","https://openalex.org/W3217399827","https://openalex.org/W4285719527","https://openalex.org/W4300223101"],"related_works":["https://openalex.org/W67350891","https://openalex.org/W2122803040","https://openalex.org/W2975075705","https://openalex.org/W4316618009","https://openalex.org/W2178758413","https://openalex.org/W4256540622","https://openalex.org/W4235543436","https://openalex.org/W4237399870","https://openalex.org/W2800111970","https://openalex.org/W2530827212"],"abstract_inverted_index":{"Given":[0],"an":[1],"elementary":[2],"function":[3],"with":[4,70],"algebraic":[5],"branch":[6,47],"cuts,":[7],"we":[8,20,64],"show":[9],"how":[10],"to":[11,68],"decide":[12],"which":[13],"sheet":[14],"of":[15,40,53,55],"the":[16,35,41,46,56,71],"associated":[17],"Riemann":[18,57],"surface":[19],"are":[21],"on":[22],"at":[23],"any":[24],"given":[25],"point.":[26],"We":[27],"do":[28],"this":[29],"by":[30,45],"establishing":[31],"a":[32,50],"correspondence":[33],"between":[34],"Cylindrical":[36],"Algebraic":[37],"Decomposition":[38],"(CAD)":[39],"complex":[42],"plane":[43],"defined":[44],"cuts":[48],"and":[49],"finite":[51],"subset":[52],"sheets":[54],"surface.":[58],"The":[59],"key":[60],"advantage":[61],"is":[62],"that":[63],"no":[65],"longer":[66],"have":[67],"deal":[69],"difficult":[72],"'constant":[73],"problem'.":[74]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}