{"id":"https://openalex.org/W2103307323","doi":"https://doi.org/10.1007/s00454-006-1233-3","title":"Colourful Simplicial Depth","display_name":"Colourful Simplicial Depth","publication_year":2006,"publication_date":"2006-04-25","ids":{"openalex":"https://openalex.org/W2103307323","doi":"https://doi.org/10.1007/s00454-006-1233-3","mag":"2103307323"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-006-1233-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-006-1233-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-006-1233-3.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-006-1233-3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004734694","display_name":"Antoine Deza","orcid":"https://orcid.org/0000-0002-2392-4607"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Antoine Deza","raw_affiliation_strings":["Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, L8S 4K1, Canada","Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario L8S 4K1, Canada"],"affiliations":[{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019206785","display_name":"Sui Huang","orcid":"https://orcid.org/0000-0002-3545-4665"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Sui Huang","raw_affiliation_strings":["Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, L8S 4K1, Canada","Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario L8S 4K1, Canada"],"affiliations":[{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043510929","display_name":"Tamon Stephen","orcid":"https://orcid.org/0000-0003-0156-7415"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tamon Stephen","raw_affiliation_strings":["Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada","Department of Mathematics, Simon Fraser University Burnaby, British Columbia V5A 1S6, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, V5A 1S6, Canada","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University Burnaby, British Columbia V5A 1S6, Canada","institution_ids":["https://openalex.org/I18014758"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006828941","display_name":"Tam\u00e1s Terlaky","orcid":"https://orcid.org/0000-0003-1953-1971"},"institutions":[{"id":"https://openalex.org/I98251732","display_name":"McMaster University","ror":"https://ror.org/02fa3aq29","country_code":"CA","type":"education","lineage":["https://openalex.org/I98251732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Tamas Terlaky","raw_affiliation_strings":["Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, L8S 4K1, Canada","Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario L8S 4K1, Canada"],"affiliations":[{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario, L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]},{"raw_affiliation_string":"Advanced Optimization Laboratory, Department of Computing and Software, McMaster University, Hamilton, Ontario L8S 4K1, Canada","institution_ids":["https://openalex.org/I98251732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5004734694"],"corresponding_institution_ids":["https://openalex.org/I98251732"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.5318,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.83641785,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"35","issue":"4","first_page":"597","last_page":"615"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9973000288009644,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9973000288009644,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11871","display_name":"Advanced Statistical Methods and Models","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/conjecture","display_name":"Conjecture","score":0.7431753277778625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7405910491943359},{"id":"https://openalex.org/keywords/betti-number","display_name":"Betti number","score":0.6987658143043518},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.6642071008682251},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6446466445922852},{"id":"https://openalex.org/keywords/simplicial-manifold","display_name":"Simplicial manifold","score":0.490951806306839},{"id":"https://openalex.org/keywords/monochrome","display_name":"Monochrome","score":0.48626792430877686},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4732784926891327},{"id":"https://openalex.org/keywords/simplicial-complex","display_name":"Simplicial complex","score":0.46806493401527405},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.43785426020622253},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21702975034713745},{"id":"https://openalex.org/keywords/simplicial-set","display_name":"Simplicial set","score":0.1927686631679535},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15550905466079712},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11218288540840149},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08586004376411438},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07725924253463745}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7431753277778625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7405910491943359},{"id":"https://openalex.org/C129621563","wikidata":"https://www.wikidata.org/wiki/Q429593","display_name":"Betti number","level":2,"score":0.6987658143043518},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.6642071008682251},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6446466445922852},{"id":"https://openalex.org/C97172818","wikidata":"https://www.wikidata.org/wiki/Q7520904","display_name":"Simplicial manifold","level":5,"score":0.490951806306839},{"id":"https://openalex.org/C2776754580","wikidata":"https://www.wikidata.org/wiki/Q10770146","display_name":"Monochrome","level":2,"score":0.48626792430877686},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4732784926891327},{"id":"https://openalex.org/C187929450","wikidata":"https://www.wikidata.org/wiki/Q994399","display_name":"Simplicial complex","level":2,"score":0.46806493401527405},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.43785426020622253},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21702975034713745},{"id":"https://openalex.org/C155366967","wikidata":"https://www.wikidata.org/wiki/Q1467124","display_name":"Simplicial set","level":4,"score":0.1927686631679535},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15550905466079712},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11218288540840149},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08586004376411438},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07725924253463745},{"id":"https://openalex.org/C79236096","wikidata":"https://www.wikidata.org/wiki/Q14775269","display_name":"Homotopy category","level":3,"score":0.0},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s00454-006-1233-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-006-1233-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-006-1233-3.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.240.8662","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.240.8662","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0506003v2.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.241.5178","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.241.5178","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/math/0506003v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.644.5034","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.644.5034","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://optlab.mcmaster.ca//component/option%2Ccom_docman/task%2Cdoc_download/gid%2C43/Itemid%2C92/","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.718.8014","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.718.8014","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://people.math.sfu.ca/%7Etamon/Papers/csd.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.85.8593","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.85.8593","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cas.mcmaster.ca/~deza/dcg2006.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.94.3450","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.94.3450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cas.mcmaster.ca/~oplab/publication/report/2005-7.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s00454-006-1233-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-006-1233-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-006-1233-3.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2165548363","display_name":null,"funder_award_id":"Canada","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G3969759488","display_name":null,"funder_award_id":"program","funder_id":"https://openalex.org/F4320322675","funder_display_name":"Mitacs"},{"id":"https://openalex.org/G5784215521","display_name":null,"funder_award_id":"Chair","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320322675","display_name":"Mitacs","ror":"https://ror.org/00cjrc276"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2103307323.pdf","grobid_xml":"https://content.openalex.org/works/W2103307323.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1496383623","https://openalex.org/W1562401172","https://openalex.org/W1712448054","https://openalex.org/W1973744648","https://openalex.org/W1984879308","https://openalex.org/W1994709142","https://openalex.org/W2001223605","https://openalex.org/W2046487802","https://openalex.org/W2049678150","https://openalex.org/W2054680493","https://openalex.org/W2081045879","https://openalex.org/W2088414519","https://openalex.org/W2579687430","https://openalex.org/W2912541983","https://openalex.org/W2949565101","https://openalex.org/W6811058514"],"related_works":["https://openalex.org/W4298038539","https://openalex.org/W2952976100","https://openalex.org/W2600048475","https://openalex.org/W1974255637","https://openalex.org/W1520453355","https://openalex.org/W4302045503","https://openalex.org/W2109188858","https://openalex.org/W1975598634","https://openalex.org/W4294397252","https://openalex.org/W2533812677"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
