{"id":"https://openalex.org/W1999146100","doi":"https://doi.org/10.1007/bf00119834","title":"Dimensional properties of graphs and digital spaces","display_name":"Dimensional properties of graphs and digital spaces","publication_year":1996,"publication_date":"1996-06-01","ids":{"openalex":"https://openalex.org/W1999146100","doi":"https://doi.org/10.1007/bf00119834","mag":"1999146100"},"language":"en","primary_location":{"id":"doi:10.1007/bf00119834","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00119834","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"Journal of Mathematical Imaging and Vision","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/A5091361907","display_name":"Alexander V. Evako","orcid":null},"institutions":[{"id":"https://openalex.org/I4210159010","display_name":"Research Center of Neurology","ror":"https://ror.org/05b74sw86","country_code":"RU","type":"healthcare","lineage":["https://openalex.org/I4210159010"]},{"id":"https://openalex.org/I45571689","display_name":"Moscow Aviation Institute","ror":"https://ror.org/033zpbv42","country_code":"RU","type":"education","lineage":["https://openalex.org/I45571689"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander V. Evako","raw_affiliation_strings":["Volokolamskoe shosse, dom. 1, kv. 157, 125080, Moscow, Russia","Volokolamskoe shosse, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Volokolamskoe shosse, dom. 1, kv. 157, 125080, Moscow, Russia","institution_ids":["https://openalex.org/I4210159010","https://openalex.org/I45571689"]},{"raw_affiliation_string":"Volokolamskoe shosse, Moscow, Russia","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042305769","display_name":"Ralph Kopperman","orcid":null},"institutions":[{"id":"https://openalex.org/I125687163","display_name":"City College of New York","ror":"https://ror.org/00wmhkr98","country_code":"US","type":"education","lineage":["https://openalex.org/I125687163"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ralph Kopperman","raw_affiliation_strings":["Mathematics, City College of New York, 10031, New York, N.Y","Mathematics, City College of New York, New York"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics, City College of New York, 10031, New York, N.Y","institution_ids":["https://openalex.org/I125687163"]},{"raw_affiliation_string":"Mathematics, City College of New York, New York","institution_ids":["https://openalex.org/I125687163"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022584890","display_name":"Y. Mukhin","orcid":null},"institutions":[{"id":"https://openalex.org/I70983195","display_name":"Syracuse University","ror":"https://ror.org/025r5qe02","country_code":"US","type":"education","lineage":["https://openalex.org/I70983195"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yurii V. Mukhin","raw_affiliation_strings":["Physics, Syracuse University, 201 Physics Building, 13244-1130, Y. Syracuse, N.Y","Physics, Syracuse University, Y. Syracuse"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Physics, Syracuse University, 201 Physics Building, 13244-1130, Y. Syracuse, N.Y","institution_ids":["https://openalex.org/I70983195"]},{"raw_affiliation_string":"Physics, Syracuse University, Y. Syracuse","institution_ids":["https://openalex.org/I70983195"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022584890","https://openalex.org/A5042305769"],"corresponding_institution_ids":["https://openalex.org/I125687163","https://openalex.org/I70983195"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":2.4928,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.89537204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"6","issue":"2-3","first_page":"109","last_page":"119"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12923","display_name":"Digital Image Processing Techniques","score":1.0,"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"}},{"id":"https://openalex.org/T10052","display_name":"Medical Image Segmentation Techniques","score":0.9603999853134155,"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"}},{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9283000230789185,"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/mathematics","display_name":"Mathematics","score":0.6879203915596008},{"id":"https://openalex.org/keywords/digital-topology","display_name":"Digital topology","score":0.5770247578620911},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4660426676273346},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.4647144079208374},{"id":"https://openalex.org/keywords/digital-geometry","display_name":"Digital geometry","score":0.43323174118995667},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.42690131068229675},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.41617411375045776},{"id":"https://openalex.org/keywords/topological-space","display_name":"Topological space","score":0.4063583016395569},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.343239426612854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3395249843597412},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.327983558177948},{"id":"https://openalex.org/keywords/digital-image","display_name":"Digital image","score":0.30756354331970215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2295682728290558},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.2052953839302063},{"id":"https://openalex.org/keywords/general-topology","display_name":"General topology","score":0.2031538188457489},{"id":"https://openalex.org/keywords/image-processing","display_name":"Image processing","score":0.19255271553993225},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.15882918238639832},{"id":"https://openalex.org/keywords/extension-topology","display_name":"Extension topology","score":0.1223624050617218},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08658507466316223}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6879203915596008},{"id":"https://openalex.org/C557022819","wikidata":"https://www.wikidata.org/wiki/Q5276205","display_name":"Digital topology","level":5,"score":0.5770247578620911},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4660426676273346},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.4647144079208374},{"id":"https://openalex.org/C192368570","wikidata":"https://www.wikidata.org/wiki/Q1789829","display_name":"Digital geometry","level":5,"score":0.43323174118995667},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.42690131068229675},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.41617411375045776},{"id":"https://openalex.org/C81332173","wikidata":"https://www.wikidata.org/wiki/Q179899","display_name":"Topological space","level":2,"score":0.4063583016395569},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.343239426612854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3395249843597412},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.327983558177948},{"id":"https://openalex.org/C42781572","wikidata":"https://www.wikidata.org/wiki/Q1250322","display_name":"Digital image","level":4,"score":0.30756354331970215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2295682728290558},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.2052953839302063},{"id":"https://openalex.org/C129089157","wikidata":"https://www.wikidata.org/wiki/Q621550","display_name":"General topology","level":3,"score":0.2031538188457489},{"id":"https://openalex.org/C9417928","wikidata":"https://www.wikidata.org/wiki/Q1070689","display_name":"Image processing","level":3,"score":0.19255271553993225},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.15882918238639832},{"id":"https://openalex.org/C143913944","wikidata":"https://www.wikidata.org/wiki/Q5421952","display_name":"Extension topology","level":4,"score":0.1223624050617218},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08658507466316223}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf00119834","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00119834","pdf_url":null,"source":{"id":"https://openalex.org/S66221708","display_name":"Journal of Mathematical Imaging and Vision","issn_l":"0924-9907","issn":["0924-9907","1573-7683"],"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":"Journal of Mathematical Imaging and Vision","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1582269801","https://openalex.org/W1976678415","https://openalex.org/W1977312970","https://openalex.org/W1995215698","https://openalex.org/W2029812885","https://openalex.org/W2042985465","https://openalex.org/W2044330289","https://openalex.org/W2065040646","https://openalex.org/W2084887209","https://openalex.org/W2085034132","https://openalex.org/W2086860590","https://openalex.org/W2119974498","https://openalex.org/W3102241343","https://openalex.org/W4232291974","https://openalex.org/W4237291927","https://openalex.org/W6816249831"],"related_works":["https://openalex.org/W2105325102","https://openalex.org/W2349895682","https://openalex.org/W1970215274","https://openalex.org/W1995215698","https://openalex.org/W64168594","https://openalex.org/W3033042789","https://openalex.org/W2411273686","https://openalex.org/W2061928649","https://openalex.org/W4302308046","https://openalex.org/W2998972947"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
