{"id":"https://openalex.org/W2132066498","doi":"https://doi.org/10.37236/233","title":"Geodetic Topological Cycles in Locally Finite Graphs","display_name":"Geodetic Topological Cycles in Locally Finite Graphs","publication_year":2009,"publication_date":"2009-11-30","ids":{"openalex":"https://openalex.org/W2132066498","doi":"https://doi.org/10.37236/233","mag":"2132066498"},"language":"en","primary_location":{"id":"doi:10.37236/233","is_oa":true,"landing_page_url":"https://doi.org/10.37236/233","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r144/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r144/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061366186","display_name":"Agelos Georgakopoulos","orcid":"https://orcid.org/0000-0001-6430-567X"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Agelos Georgakopoulos","raw_affiliation_strings":["UNIVERSITY OF HAMBURG"],"affiliations":[{"raw_affiliation_string":"UNIVERSITY OF HAMBURG","institution_ids":["https://openalex.org/I159176309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063934233","display_name":"Philipp Spr\u00fcssel","orcid":"https://orcid.org/0000-0002-3010-7058"},"institutions":[{"id":"https://openalex.org/I159176309","display_name":"Universit\u00e4t Hamburg","ror":"https://ror.org/00g30e956","country_code":"DE","type":"education","lineage":["https://openalex.org/I159176309"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Philipp Spr\u00fcssel","raw_affiliation_strings":["UNIVERSITY OF HAMBURG"],"affiliations":[{"raw_affiliation_string":"UNIVERSITY OF HAMBURG","institution_ids":["https://openalex.org/I159176309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061366186"],"corresponding_institution_ids":["https://openalex.org/I159176309"],"apc_list":null,"apc_paid":null,"fwci":3.8761,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93703718,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9884999990463257,"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":0.9884999990463257,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.9836999773979187,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9812999963760376,"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/geodetic-datum","display_name":"Geodetic datum","score":0.8717637062072754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7682925462722778},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5466703176498413},{"id":"https://openalex.org/keywords/finite-graph","display_name":"Finite graph","score":0.5123721361160278},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4764592945575714},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.45767921209335327},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4138900637626648},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3345274329185486},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.09378334879875183},{"id":"https://openalex.org/keywords/geodesy","display_name":"Geodesy","score":0.09279343485832214},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09113079309463501}],"concepts":[{"id":"https://openalex.org/C58754882","wikidata":"https://www.wikidata.org/wiki/Q1502887","display_name":"Geodetic datum","level":2,"score":0.8717637062072754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7682925462722778},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5466703176498413},{"id":"https://openalex.org/C2994516854","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Finite graph","level":3,"score":0.5123721361160278},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4764592945575714},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.45767921209335327},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4138900637626648},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3345274329185486},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.09378334879875183},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.09279343485832214},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09113079309463501}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/233","is_oa":true,"landing_page_url":"https://doi.org/10.37236/233","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r144/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.214.587","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.214.587","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_16/PDF/v16i1r144.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.598.691","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.598.691","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uni-hamburg.de/research/papers/hbm/hbm2007263.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/233","is_oa":true,"landing_page_url":"https://doi.org/10.37236/233","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i1r144/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2132066498.pdf","grobid_xml":"https://content.openalex.org/works/W2132066498.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W156955290","https://openalex.org/W600072479","https://openalex.org/W1969704103","https://openalex.org/W1973373196","https://openalex.org/W1982055817","https://openalex.org/W2029647773","https://openalex.org/W2057832909","https://openalex.org/W2065311049","https://openalex.org/W2082388593","https://openalex.org/W2097490452","https://openalex.org/W2113569543","https://openalex.org/W2114991574","https://openalex.org/W2135780978","https://openalex.org/W2145746542","https://openalex.org/W2146437659","https://openalex.org/W2154309380","https://openalex.org/W2953257770","https://openalex.org/W4231660446"],"related_works":["https://openalex.org/W4300827818","https://openalex.org/W2949143386","https://openalex.org/W1979982651","https://openalex.org/W2023434610","https://openalex.org/W4301630296","https://openalex.org/W4300196839","https://openalex.org/W2338640284","https://openalex.org/W4206146774","https://openalex.org/W4205579694","https://openalex.org/W4287375585"],"abstract_inverted_index":{"We":[0,22],"prove":[1],"that":[2],"the":[3,27],"topological":[4,20],"cycle":[5],"space":[6],"${\\cal":[7,33,42],"C}(G)$":[8],"of":[9,30],"a":[10],"locally":[11],"finite":[12,28,36],"graph":[13],"$G$":[14,31],"is":[15],"generated":[16],"by":[17],"its":[18,35],"geodetic":[19,37],"circles.":[21],"further":[23],"show":[24],"that,":[25],"although":[26],"cycles":[29,38],"generate":[32,41],"C}(G)$,":[34],"need":[39],"not":[40],"C}(G)$.":[43]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
