{"id":"https://openalex.org/W2963080050","doi":"https://doi.org/10.1137/140981496","title":"Minimally Unbalanced Diamond-Free Graphs and Dyck-Paths","display_name":"Minimally Unbalanced Diamond-Free Graphs and Dyck-Paths","publication_year":2015,"publication_date":"2015-01-01","ids":{"openalex":"https://openalex.org/W2963080050","doi":"https://doi.org/10.1137/140981496","mag":"2963080050"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/140981496","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1406.6494","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068548647","display_name":"Nicola Apollonio","orcid":"https://orcid.org/0000-0001-6089-1333"},"institutions":[{"id":"https://openalex.org/I4210106125","display_name":"Istituto per le Applicazioni del Calcolo Mauro Picone","ror":"https://ror.org/00ygy3d85","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210106125","https://openalex.org/I4210155236"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Nicola Apollonio","raw_affiliation_strings":["Istituto per le Applicazioni del Calcolo, M. Picone-CNR, via dei Taurini 19, 00185 Rome -Italy."],"affiliations":[{"raw_affiliation_string":"Istituto per le Applicazioni del Calcolo, M. Picone-CNR, via dei Taurini 19, 00185 Rome -Italy.","institution_ids":["https://openalex.org/I4210106125"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059021308","display_name":"Anna Galluccio","orcid":null},"institutions":[{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Anna Galluccio","raw_affiliation_strings":["Istituto di Analisi dei Sistemi ed Informatica \"Antonio Ruberti\"-CNR, Viale Manzoni, 30 00185 Rome -Italy."],"affiliations":[{"raw_affiliation_string":"Istituto di Analisi dei Sistemi ed Informatica \"Antonio Ruberti\"-CNR, Viale Manzoni, 30 00185 Rome -Italy.","institution_ids":["https://openalex.org/I4210162062"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":2,"citation_normalized_percentile":{"value":0.497883,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":73,"max":76},"biblio":{"volume":"29","issue":"4","first_page":"1837","last_page":"1863"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998,"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":0.9998,"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/T11476","display_name":"Graph theory and applications","score":0.9991,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.998,"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/clique","display_name":"Clique","score":0.53060323},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization","score":0.50771224},{"id":"https://openalex.org/keywords/indifference-graph","display_name":"Indifference graph","score":0.43157694}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8016435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.65805876},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6115018},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.53060323},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.5092012},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.50771224},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4597985},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4328187},{"id":"https://openalex.org/C74133993","wikidata":"https://www.wikidata.org/wiki/Q3115472","display_name":"Indifference graph","level":3,"score":0.43157694},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.41068843},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/140981496","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1406.6494","pdf_url":"https://arxiv.org/pdf/1406.6494","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.6494","pdf_url":"http://arxiv.org/pdf/1406.6494","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1406.6494","pdf_url":"https://arxiv.org/pdf/1406.6494","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":20,"referenced_works":["https://openalex.org/W105087603","https://openalex.org/W1964163546","https://openalex.org/W1973199140","https://openalex.org/W199404365","https://openalex.org/W1995194793","https://openalex.org/W1995303433","https://openalex.org/W2005131446","https://openalex.org/W2019034047","https://openalex.org/W2020585303","https://openalex.org/W2021102038","https://openalex.org/W2024532720","https://openalex.org/W2036195668","https://openalex.org/W2043507274","https://openalex.org/W2044652744","https://openalex.org/W2061781976","https://openalex.org/W2095436393","https://openalex.org/W2154914679","https://openalex.org/W2180198633","https://openalex.org/W326505086","https://openalex.org/W4206780782"],"related_works":["https://openalex.org/W4287117052","https://openalex.org/W4214565117","https://openalex.org/W4206705200","https://openalex.org/W3176308333","https://openalex.org/W2966902162","https://openalex.org/W2407722793","https://openalex.org/W2157783000","https://openalex.org/W2028363955","https://openalex.org/W1893557706","https://openalex.org/W1527735759"],"abstract_inverted_index":{"A":[0,24],"$\\{0,1\\}$-matrix":[1],"$\\mathsf{A}$":[2],"is":[3,26,31,39],"balanced":[4,27],"if":[5,28],"it":[6],"does":[7],"not":[8],"contain":[9],"a":[10,67,77],"submatrix":[11],"of":[12,35,48,72],"odd":[13],"order":[14],"having":[15],"exactly":[16],"two":[17],"1's":[18],"per":[19,22],"row":[20],"and":[21,41,75,84],"column.":[23],"graph":[25],"its":[29],"clique-matrix":[30],"balanced.":[32],"No":[33],"characterization":[34,68],"minimally":[36,80],"unbalanced":[37,81],"graphs":[38,50,74,83],"known,":[40],"even":[42],"no":[43],"conjecture":[44],"on":[45],"the":[46,70],"structure":[47],"such":[49,66],"has":[51],"been":[52],"posed,":[53],"contrary":[54],"to":[55],"what":[56],"happened":[57],"for":[58,69],"perfect":[59],"graphs.":[60],"In":[61],"this":[62],"paper,":[63],"we":[64],"provide":[65],"class":[71],"diamond-free":[73,82],"establish":[76],"connection":[78],"between":[79],"Dyck-paths.":[85]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2963080050","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-03-21T13:27:24.836602","created_date":"2019-07-30"}