{"id":"https://openalex.org/W1969383549","doi":"https://doi.org/10.1145/2666310.2666380","title":"Surrounds in partitions","display_name":"Surrounds in partitions","publication_year":2014,"publication_date":"2014-11-04","ids":{"openalex":"https://openalex.org/W1969383549","doi":"https://doi.org/10.1145/2666310.2666380","mag":"1969383549"},"language":"en","primary_location":{"id":"doi:10.1145/2666310.2666380","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2666310.2666380","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems","raw_type":"proceedings-article"},"type":"conference-paper","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/A5004866624","display_name":"Matthew P. Dube","orcid":"https://orcid.org/0000-0002-7104-9982"},"institutions":[{"id":"https://openalex.org/I7947594","display_name":"University of Maine","ror":"https://ror.org/01adr0w49","country_code":"US","type":"education","lineage":["https://openalex.org/I2802397601","https://openalex.org/I7947594"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew P. Dube","raw_affiliation_strings":["University of Maine, Orono, ME","University of Maine, Orono, Me"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maine, Orono, ME","institution_ids":["https://openalex.org/I7947594"]},{"raw_affiliation_string":"University of Maine, Orono, Me","institution_ids":["https://openalex.org/I7947594"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068705609","display_name":"Max J. Egenhofer","orcid":null},"institutions":[{"id":"https://openalex.org/I7947594","display_name":"University of Maine","ror":"https://ror.org/01adr0w49","country_code":"US","type":"education","lineage":["https://openalex.org/I2802397601","https://openalex.org/I7947594"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Max J. Egenhofer","raw_affiliation_strings":["University of Maine, Orono, ME","University of Maine, Orono, Me"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Maine, Orono, ME","institution_ids":["https://openalex.org/I7947594"]},{"raw_affiliation_string":"University of Maine, Orono, Me","institution_ids":["https://openalex.org/I7947594"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I7947594"],"apc_list":null,"apc_paid":null,"fwci":2.2078,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87830248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"233","last_page":"242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6817224025726318},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5974863171577454},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5856432318687439},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5211279988288879},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4772867262363434},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46801674365997314},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4343300759792328},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35293757915496826},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1916857659816742},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.16712146997451782},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.08006089925765991}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6817224025726318},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5974863171577454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5856432318687439},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5211279988288879},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4772867262363434},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46801674365997314},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4343300759792328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35293757915496826},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1916857659816742},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16712146997451782},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.08006089925765991},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2666310.2666380","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2666310.2666380","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 22nd ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.4099999964237213}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320312579","display_name":"University of Maine","ror":"https://ror.org/01adr0w49"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W852874","https://openalex.org/W5053679","https://openalex.org/W55637898","https://openalex.org/W70090750","https://openalex.org/W94077606","https://openalex.org/W106561449","https://openalex.org/W193505525","https://openalex.org/W1483417608","https://openalex.org/W1494235147","https://openalex.org/W1528270775","https://openalex.org/W1552221065","https://openalex.org/W1562214614","https://openalex.org/W1583343450","https://openalex.org/W1586773043","https://openalex.org/W1587191403","https://openalex.org/W1844476468","https://openalex.org/W1871668702","https://openalex.org/W1997862802","https://openalex.org/W2014590262","https://openalex.org/W2041783562","https://openalex.org/W2055030501","https://openalex.org/W2073529986","https://openalex.org/W2089868779","https://openalex.org/W2095275588","https://openalex.org/W2122098161","https://openalex.org/W2128535640","https://openalex.org/W2133039566","https://openalex.org/W2142359340","https://openalex.org/W2169872956","https://openalex.org/W2240909318","https://openalex.org/W2491020322","https://openalex.org/W2620065857","https://openalex.org/W3041834803","https://openalex.org/W3190439865","https://openalex.org/W4240077529"],"related_works":["https://openalex.org/W4234874385","https://openalex.org/W2323648130","https://openalex.org/W2157140558","https://openalex.org/W2378782423","https://openalex.org/W2388988621","https://openalex.org/W2357797405","https://openalex.org/W2366623913","https://openalex.org/W2374905595","https://openalex.org/W2516693588","https://openalex.org/W2116112408"],"abstract_inverted_index":{"Surrounds":[0],"is":[1],"a":[2,27,31],"topological":[3],"relation":[4],"that":[5],"can":[6],"exist":[7],"between":[8,12],"two":[9,50],"regions":[10,15],"or":[11],"collections":[13],"of":[14,38,70],"in":[16],"R2.":[17],"This":[18],"paper":[19],"provides":[20,30],"an":[21],"algebraic":[22,65],"construction":[23],"for":[24,35],"surrounds":[25,40,61],"within":[26,46],"partition":[28],"and":[29,67],"complementary":[32],"graph-theoretic":[33],"approach":[34],"the":[36,39,44,47,68],"detection":[37],"conditions":[41],"created":[42],"by":[43],"operations":[45],"algebra.":[48],"These":[49],"approaches":[51],"are":[52,58,73],"contrasted":[53],"to":[54,62],"one":[55],"another.":[56],"Constraints":[57],"placed":[59],"upon":[60],"maintain":[63],"certain":[64],"benefits":[66],"consequences":[69],"their":[71],"relaxations":[72],"assessed.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}