{"id":"https://openalex.org/W2065925866","doi":"https://doi.org/10.1007/bf02591770","title":"Integral decomposition in polyhedra","display_name":"Integral decomposition in polyhedra","publication_year":1983,"publication_date":"1983-06-01","ids":{"openalex":"https://openalex.org/W2065925866","doi":"https://doi.org/10.1007/bf02591770","mag":"2065925866"},"language":"en","primary_location":{"id":"doi:10.1007/bf02591770","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02591770","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-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/A5111437501","display_name":"Colin McDiarmid","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Colin McDiarmid","raw_affiliation_strings":["Wolfson College, Oxford, England","Wolfson College Oxford, England"],"affiliations":[{"raw_affiliation_string":"Wolfson College, Oxford, England","institution_ids":[]},{"raw_affiliation_string":"Wolfson College Oxford, England","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111437501"],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.7019,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.84340091,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"2","first_page":"183","last_page":"198"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9984999895095825,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/unimodular-matrix","display_name":"Unimodular matrix","score":0.8307139277458191},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.785880446434021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7759947776794434},{"id":"https://openalex.org/keywords/matroid","display_name":"Matroid","score":0.6630470752716064},{"id":"https://openalex.org/keywords/rounding","display_name":"Rounding","score":0.5444768667221069},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5404894948005676},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5159997940063477},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.48730599880218506},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3627033233642578},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09600675106048584}],"concepts":[{"id":"https://openalex.org/C201958917","wikidata":"https://www.wikidata.org/wiki/Q1367055","display_name":"Unimodular matrix","level":2,"score":0.8307139277458191},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.785880446434021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7759947776794434},{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.6630470752716064},{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.5444768667221069},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5404894948005676},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5159997940063477},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.48730599880218506},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3627033233642578},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09600675106048584},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02591770","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02591770","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W49239469","https://openalex.org/W57528446","https://openalex.org/W86044744","https://openalex.org/W123929782","https://openalex.org/W1514375184","https://openalex.org/W1530753374","https://openalex.org/W1560420247","https://openalex.org/W1965085017","https://openalex.org/W1967629038","https://openalex.org/W1968424093","https://openalex.org/W1986803038","https://openalex.org/W1992519511","https://openalex.org/W2003160050","https://openalex.org/W2009551324","https://openalex.org/W2025941642","https://openalex.org/W2031870383","https://openalex.org/W2032670317","https://openalex.org/W2049716158","https://openalex.org/W2062220035","https://openalex.org/W2084278031","https://openalex.org/W2089227369","https://openalex.org/W2092751629","https://openalex.org/W2107547393","https://openalex.org/W2125690626","https://openalex.org/W2258857078","https://openalex.org/W2336259629","https://openalex.org/W2544093024","https://openalex.org/W2565699923","https://openalex.org/W4242947345","https://openalex.org/W4246377907","https://openalex.org/W6603474794","https://openalex.org/W6630780605"],"related_works":["https://openalex.org/W2011745869","https://openalex.org/W2088028898","https://openalex.org/W2058299944","https://openalex.org/W4233892543","https://openalex.org/W1974942973","https://openalex.org/W2950905816","https://openalex.org/W1550144461","https://openalex.org/W211627054","https://openalex.org/W1608437562","https://openalex.org/W4323360720"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}