{"id":"https://openalex.org/W1450746098","doi":"https://doi.org/10.1007/978-3-642-31464-3_52","title":"Diameter of the Spike-Flow Graphs of\u00a0Geometrical Neural Networks","display_name":"Diameter of the Spike-Flow Graphs of\u00a0Geometrical Neural Networks","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1450746098","doi":"https://doi.org/10.1007/978-3-642-31464-3_52","mag":"1450746098"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-31464-3_52","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31464-3_52","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://repozytorium.umk.pl/handle/item/1673","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063120073","display_name":"Jaros\u0142aw Piersa","orcid":null},"institutions":[{"id":"https://openalex.org/I3019271933","display_name":"Nicolaus Copernicus University","ror":"https://ror.org/0102mm775","country_code":"PL","type":"education","lineage":["https://openalex.org/I3019271933"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Jaroslaw Piersa","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Torun, Poland","Faculty of Mathematics and Computer Science , Nicolaus Copernicus University , Torun, Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Torun, Poland","institution_ids":["https://openalex.org/I3019271933"]},{"raw_affiliation_string":"Faculty of Mathematics and Computer Science , Nicolaus Copernicus University , Torun, Poland","institution_ids":["https://openalex.org/I3019271933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063120073"],"corresponding_institution_ids":["https://openalex.org/I3019271933"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.2636,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82431193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"511","last_page":"520"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7307074069976807},{"id":"https://openalex.org/keywords/path-length","display_name":"Path length","score":0.7102743983268738},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.6973601579666138},{"id":"https://openalex.org/keywords/spike","display_name":"Spike (software development)","score":0.6885833740234375},{"id":"https://openalex.org/keywords/average-path-length","display_name":"Average path length","score":0.6111680269241333},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5655996203422546},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5139581561088562},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5044189691543579},{"id":"https://openalex.org/keywords/the-internet","display_name":"The Internet","score":0.48930832743644714},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4485994279384613},{"id":"https://openalex.org/keywords/longest-path-problem","display_name":"Longest path problem","score":0.4319693148136139},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.42371511459350586},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3979722261428833},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.3262680768966675},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2757248282432556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18964916467666626},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1515045464038849},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09459596872329712},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.08893737196922302}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7307074069976807},{"id":"https://openalex.org/C129045301","wikidata":"https://www.wikidata.org/wiki/Q7144654","display_name":"Path length","level":2,"score":0.7102743983268738},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.6973601579666138},{"id":"https://openalex.org/C2781390188","wikidata":"https://www.wikidata.org/wiki/Q25203449","display_name":"Spike (software development)","level":2,"score":0.6885833740234375},{"id":"https://openalex.org/C91886571","wikidata":"https://www.wikidata.org/wiki/Q432520","display_name":"Average path length","level":4,"score":0.6111680269241333},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5655996203422546},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5139581561088562},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5044189691543579},{"id":"https://openalex.org/C110875604","wikidata":"https://www.wikidata.org/wiki/Q75","display_name":"The Internet","level":2,"score":0.48930832743644714},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4485994279384613},{"id":"https://openalex.org/C1465435","wikidata":"https://www.wikidata.org/wiki/Q2916352","display_name":"Longest path problem","level":4,"score":0.4319693148136139},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.42371511459350586},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3979722261428833},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.3262680768966675},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2757248282432556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18964916467666626},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1515045464038849},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09459596872329712},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.08893737196922302},{"id":"https://openalex.org/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-31464-3_52","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31464-3_52","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:repozytorium.umk.pl:item/1673","is_oa":true,"landing_page_url":"http://repozytorium.umk.pl/handle/item/1673","pdf_url":null,"source":{"id":"https://openalex.org/S4306400983","display_name":"Nicolaus Copernicus University Repository (Nicolaus Copernicus University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3019271933","host_organization_name":"Nicolaus Copernicus University","host_organization_lineage":["https://openalex.org/I3019271933"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:repozytorium.umk.pl:item/1673","is_oa":true,"landing_page_url":"http://repozytorium.umk.pl/handle/item/1673","pdf_url":null,"source":{"id":"https://openalex.org/S4306400983","display_name":"Nicolaus Copernicus University Repository (Nicolaus Copernicus University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3019271933","host_organization_name":"Nicolaus Copernicus University","host_organization_lineage":["https://openalex.org/I3019271933"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W638149299","https://openalex.org/W1481967218","https://openalex.org/W1582813132","https://openalex.org/W1645097135","https://openalex.org/W1979426401","https://openalex.org/W1999653836","https://openalex.org/W2035324081","https://openalex.org/W2044770804","https://openalex.org/W2064024545","https://openalex.org/W2112090702","https://openalex.org/W2116192505","https://openalex.org/W2124637492","https://openalex.org/W2769133055","https://openalex.org/W4239687696","https://openalex.org/W4242095403"],"related_works":["https://openalex.org/W2133631762","https://openalex.org/W4214619803","https://openalex.org/W2060977742","https://openalex.org/W2094727797","https://openalex.org/W3125503583","https://openalex.org/W1502473181","https://openalex.org/W2010150923","https://openalex.org/W1957820195","https://openalex.org/W4304192587","https://openalex.org/W1128195214"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}