{"id":"https://openalex.org/W2013955690","doi":"https://doi.org/10.2478/forma-2014-0018","title":"A Note on the Seven Bridges of K\u00f6nigsberg Problem","display_name":"A Note on the Seven Bridges of K\u00f6nigsberg Problem","publication_year":2014,"publication_date":"2014-06-30","ids":{"openalex":"https://openalex.org/W2013955690","doi":"https://doi.org/10.2478/forma-2014-0018","mag":"2013955690"},"language":"en","primary_location":{"id":"doi:10.2478/forma-2014-0018","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2014-0018","pdf_url":"https://www.sciendo.com/pdf/10.2478/forma-2014-0018","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.sciendo.com/pdf/10.2478/forma-2014-0018","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052541701","display_name":"Adam Naumowicz","orcid":"https://orcid.org/0000-0003-4224-9798"},"institutions":[{"id":"https://openalex.org/I245364917","display_name":"University of Bia\u0142ystok","ror":"https://ror.org/01qaqcf60","country_code":"PL","type":"education","lineage":["https://openalex.org/I245364917"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Adam Naumowicz","raw_affiliation_strings":["Institute of Informatics University of Bia\u0142ystok Sosnowa 64, 15-887 Bia\u0142ystok Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Informatics University of Bia\u0142ystok Sosnowa 64, 15-887 Bia\u0142ystok Poland","institution_ids":["https://openalex.org/I245364917"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052541701"],"corresponding_institution_ids":["https://openalex.org/I245364917"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.16007442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"22","issue":"2","first_page":"177","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13558","display_name":"Philosophy, Science, and History","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13558","display_name":"Philosophy, Science, and History","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10778","display_name":"Philosophy and History of Science","score":0.9761000275611877,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12430","display_name":"Academic and Historical Perspectives in Psychology","score":0.9452000260353088,"subfield":{"id":"https://openalex.org/subfields/3200","display_name":"General Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6551166772842407},{"id":"https://openalex.org/keywords/eulerian-path","display_name":"Eulerian path","score":0.5700492262840271},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5317667126655579},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4680855870246887},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.45773911476135254},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.44809678196907043},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4026797413825989},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3355051875114441},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2505108118057251},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11889183521270752},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07072928547859192}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6551166772842407},{"id":"https://openalex.org/C43058520","wikidata":"https://www.wikidata.org/wiki/Q624580","display_name":"Eulerian path","level":3,"score":0.5700492262840271},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5317667126655579},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4680855870246887},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.45773911476135254},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.44809678196907043},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4026797413825989},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3355051875114441},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2505108118057251},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11889183521270752},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07072928547859192},{"id":"https://openalex.org/C53469067","wikidata":"https://www.wikidata.org/wiki/Q505735","display_name":"Lagrangian","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.2478/forma-2014-0018","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2014-0018","pdf_url":"https://www.sciendo.com/pdf/10.2478/forma-2014-0018","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:70b29870c1434278be5cb29bcbb55103","is_oa":false,"landing_page_url":"https://doaj.org/article/70b29870c1434278be5cb29bcbb55103","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Formalized Mathematics, Vol 22, Iss 2, Pp 177-178 (2014)","raw_type":"article"},{"id":"pmh:oai:repozytorium.uwb.edu.pl:11320/3714","is_oa":false,"landing_page_url":"http://hdl.handle.net/11320/3714","pdf_url":null,"source":{"id":"https://openalex.org/S4306400933","display_name":"The Repository of University in Bialystok (University in Bialystok)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210094198","host_organization_name":"University Clinical Hospital In Bialystok","host_organization_lineage":["https://openalex.org/I4210094198"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.2478/forma-2014-0018","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2014-0018","pdf_url":"https://www.sciendo.com/pdf/10.2478/forma-2014-0018","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2013955690.pdf","grobid_xml":"https://content.openalex.org/works/W2013955690.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W180239714","https://openalex.org/W192809544","https://openalex.org/W260340778","https://openalex.org/W2000483727","https://openalex.org/W2150348213","https://openalex.org/W2296232473","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W2079288126","https://openalex.org/W2077812264","https://openalex.org/W2975788088","https://openalex.org/W2045501962","https://openalex.org/W1968753385","https://openalex.org/W3003396734","https://openalex.org/W2029145332","https://openalex.org/W4295093499","https://openalex.org/W2087786221"],"abstract_inverted_index":{"Summary":[0],"In":[1],"this":[2],"paper":[3],"we":[4],"account":[5],"for":[6,29,51],"the":[7,10,32,52,61,67,76,95],"formalization":[8,40],"of":[9,13,34,79],"seven":[11,57],"bridges":[12],"K\u00f6nigsberg":[14],"puzzle.":[15],"The":[16,64],"problem":[17],"originally":[18],"posed":[19],"and":[20,55,71],"solved":[21],"by":[22,69,74,101],"Euler":[23],"in":[24],"1735":[25],"is":[26,91],"historically":[27],"notable":[28],"having":[30],"laid":[31],"foundations":[33],"graph":[35,45,81],"theory,":[36],"cf.":[37],"[7].":[38],"Our":[39],"utilizes":[41],"a":[42,80],"simple":[43],"set-theoretical":[44],"representation":[46],"with":[47],"four":[48],"distinct":[49],"sets":[50,58],"graph\u2019s":[53],"vertices":[54],"another":[56],"that":[59,82],"represent":[60],"edges":[62],"(bridges).":[63],"work":[65],"appends":[66],"article":[68],"Nakamura":[70],"Rudnicki":[72],"[10]":[73],"introducing":[75],"classic":[77],"example":[78],"does":[83],"not":[84],"contain":[85],"an":[86],"Eulerian":[87],"path.":[88],"This":[89],"theorem":[90],"item":[92],"#54":[93],"from":[94],"\u201cFormalizing":[96],"100":[97],"Theorems\u201d":[98],"list":[99],"maintained":[100],"Freek":[102],"Wiedijk":[103],"at":[104],"http://www.cs.ru.nl/F.Wiedijk/100/.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}