{"id":"https://openalex.org/W1531443421","doi":"https://doi.org/10.37236/312","title":"$H$-Decompositions of $r$-graphs when $H$ is an $r$-graph with exactly 2 edges","display_name":"$H$-Decompositions of $r$-graphs when $H$ is an $r$-graph with exactly 2 edges","publication_year":2010,"publication_date":"2010-03-08","ids":{"openalex":"https://openalex.org/W1531443421","doi":"https://doi.org/10.37236/312","mag":"1531443421"},"language":"en","primary_location":{"id":"doi:10.37236/312","is_oa":true,"landing_page_url":"https://doi.org/10.37236/312","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r40/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/v17i1r40/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064010210","display_name":"Teresa Sousa","orcid":"https://orcid.org/0000-0002-3322-580X"},"institutions":[{"id":"https://openalex.org/I4210127031","display_name":"Uninova","ror":"https://ror.org/0373te416","country_code":"PT","type":"funder","lineage":["https://openalex.org/I4210127031"]},{"id":"https://openalex.org/I4210138492","display_name":"Sociedade Brasileira de Educa\u00e7\u00e3o Matem\u00e1tica","ror":"https://ror.org/05062q345","country_code":"BR","type":"nonprofit","lineage":["https://openalex.org/I4210138492"]}],"countries":["BR","PT"],"is_corresponding":true,"raw_author_name":"Teresa Sousa","raw_affiliation_strings":["Departamento de Matemtica, FCT-UNL and CMA-UNL Quinta da Torre, 2829-516 Caparica, Portugal","DM - Departamento de Matem\u00e1tica"],"affiliations":[{"raw_affiliation_string":"Departamento de Matemtica, FCT-UNL and CMA-UNL Quinta da Torre, 2829-516 Caparica, Portugal","institution_ids":["https://openalex.org/I4210127031"]},{"raw_affiliation_string":"DM - Departamento de Matem\u00e1tica","institution_ids":["https://openalex.org/I4210138492"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5064010210"],"corresponding_institution_ids":["https://openalex.org/I4210127031","https://openalex.org/I4210138492"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.04260563,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9959999918937683,"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/combinatorics","display_name":"Combinatorics","score":0.8714457750320435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8465502262115479},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5532919764518738},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4911756217479706},{"id":"https://openalex.org/keywords/domino","display_name":"Domino","score":0.4723176658153534},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41132214665412903},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.062145739793777466}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8714457750320435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8465502262115479},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5532919764518738},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4911756217479706},{"id":"https://openalex.org/C2776416436","wikidata":"https://www.wikidata.org/wiki/Q3751781","display_name":"Domino","level":3,"score":0.4723176658153534},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41132214665412903},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.062145739793777466},{"id":"https://openalex.org/C161790260","wikidata":"https://www.wikidata.org/wiki/Q82264","display_name":"Catalysis","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/312","is_oa":true,"landing_page_url":"https://doi.org/10.37236/312","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r40/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:10.1.1.177.9140","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.177.9140","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_17/PDF/v17i1r40.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/312","is_oa":true,"landing_page_url":"https://doi.org/10.37236/312","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r40/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":[{"id":"https://openalex.org/G213682523","display_name":null,"funder_award_id":"FCT/MCTES","funder_id":"https://openalex.org/F4320323642","funder_display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Ensino Superior"},{"id":"https://openalex.org/G2226657539","display_name":null,"funder_award_id":"ISFL-1-297","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G5226653915","display_name":null,"funder_award_id":"FCT/MCT","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"},{"id":"https://openalex.org/G738030663","display_name":null,"funder_award_id":"FCT/MCTES","funder_id":"https://openalex.org/F4320334779","funder_display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia"}],"funders":[{"id":"https://openalex.org/F4320323642","display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia e Ensino Superior","ror":"https://ror.org/045b9pr88"},{"id":"https://openalex.org/F4320334779","display_name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","ror":"https://ror.org/00snfqn58"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1531443421.pdf","grobid_xml":"https://content.openalex.org/works/W1531443421.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1898703922","https://openalex.org/W2110354774","https://openalex.org/W2156786176","https://openalex.org/W2798588639"],"related_works":["https://openalex.org/W2382258274","https://openalex.org/W2949566546","https://openalex.org/W2323296597","https://openalex.org/W2055499991","https://openalex.org/W3206711179","https://openalex.org/W1831276183","https://openalex.org/W2352166889","https://openalex.org/W2097896055","https://openalex.org/W4293436957","https://openalex.org/W2950940903"],"abstract_inverted_index":{"Given":[0],"two":[1,75],"$r$-graphs":[2],"$G$":[3,9,18,44],"and":[4,93,108],"$H$,":[5],"an":[6,41,54,58],"$H$-decomposition":[7,42,59],"of":[8,13,17,38,43,53,77,98,111],"is":[10,23,45],"a":[11,25,30,51],"partition":[12],"the":[14,70,74,99],"edge":[15,27],"set":[16],"such":[19],"that":[20],"each":[21],"part":[22],"either":[24],"single":[26],"or":[28,83],"forms":[29],"graph":[31],"isomorphic":[32],"to":[33],"$H$.":[34],"The":[35,96],"minimum":[36],"number":[37],"parts":[39],"in":[40,80],"denoted":[46],"by":[47],"$\\phi_H^r":[48],"(G)$.":[49],"By":[50],"$2$-edge-decomposition":[52],"$r$-graph":[55,63],"we":[56],"mean":[57],"for":[60,105],"any":[61],"fixed":[62],"$H$":[64,78],"with":[65],"exactly":[66,81],"2":[67],"edges.":[68],"In":[69],"special":[71],"case":[72],"where":[73],"edges":[76],"intersect":[79],"$1,2$":[82],"$r-1$":[84],"vertices":[85],"these":[86],"2-edge-decompositions":[87],"will":[88,102],"be":[89,103],"called":[90],"bowtie,":[91,106],"domino":[92,107],"kite":[94,109],"respectively.":[95],"value":[97],"function":[100],"$\\phi_H^r(n)$":[101],"obtained":[104],"decompositons":[110],"$r$-graphs.":[112]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}