{"id":"https://openalex.org/W4398174333","doi":"https://doi.org/10.1109/dcc58796.2024.00063","title":"Succinct Data Structure for Graphs with d-Dimensional t-Representation","display_name":"Succinct Data Structure for Graphs with d-Dimensional t-Representation","publication_year":2024,"publication_date":"2024-03-19","ids":{"openalex":"https://openalex.org/W4398174333","doi":"https://doi.org/10.1109/dcc58796.2024.00063"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/dcc58796.2024.00063","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2311.02427","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106085228","display_name":"Girish Balakrishnan","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Girish Balakrishnan","raw_affiliation_strings":["Indian Institute of Technology Madras, Chennai, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087759069","display_name":"Sankardeep Chakraborty","orcid":"https://orcid.org/0000-0002-2395-4160"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Sankardeep Chakraborty","raw_affiliation_strings":["University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076160619","display_name":"Seungbum Jo","orcid":"https://orcid.org/0000-0002-8644-3691"},"institutions":[{"id":"https://openalex.org/I196345858","display_name":"Chungnam National University","ror":"https://ror.org/0227as991","country_code":"KR","type":"education","lineage":["https://openalex.org/I196345858"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Seungbum Jo","raw_affiliation_strings":["Chungnam National University, Daejeon, South Korea"],"affiliations":[{"raw_affiliation_string":"Chungnam National University, Daejeon, South Korea","institution_ids":["https://openalex.org/I196345858"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049949046","display_name":"N. S. Narayanaswamy","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"facility","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"N S Narayanaswamy","raw_affiliation_strings":["Indian Institute of Technology Madras, Chennai, India"],"affiliations":[{"raw_affiliation_string":"Indian Institute of Technology Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077610103","display_name":"Kunihiko Sadakane","orcid":"https://orcid.org/0000-0002-8212-3682"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kunihiko Sadakane","raw_affiliation_strings":["University of Tokyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]}]}],"institution_assertions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":84},"biblio":{"volume":null,"issue":null,"first_page":"546","last_page":"546"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9996,"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"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9996,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9992,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.999,"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/intersection-graph","display_name":"Intersection graph","score":0.51197207}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8233609},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6600393},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6251313},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5127843},{"id":"https://openalex.org/C54540088","wikidata":"https://www.wikidata.org/wiki/Q3498041","display_name":"Intersection graph","level":4,"score":0.51197207},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47302747},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4658535},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4638626},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.124967635},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/dcc58796.2024.00063","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2311.02427","pdf_url":"https://arxiv.org/pdf/2311.02427","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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/2311.02427","pdf_url":"https://arxiv.org/pdf/2311.02427","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":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":0,"referenced_works":[],"related_works":["https://openalex.org/W4401442391","https://openalex.org/W4386900933","https://openalex.org/W4229058035","https://openalex.org/W3125672081","https://openalex.org/W3013085049","https://openalex.org/W2953260685","https://openalex.org/W2362473619","https://openalex.org/W2046736294","https://openalex.org/W1992739770","https://openalex.org/W1560496689"],"abstract_inverted_index":{"Erd\u0151s":[0],"and":[1,53,81,103,137,201,210],"West":[2],"(Discrete":[3],"Mathematics'85)":[4],"considered":[5],"the":[6,32,68,86,124,129,141,161,170,178,193,220],"class":[7,33,87,142,171,194],"of":[8,28,39,88,108,126,128,143,163,195],"n":[9,89,114,144],"vertex":[10,27,90,145],"intersection":[11],"graphs":[12,92,147,188,196],"which":[13,72,94,148],"have":[14,149,219],"a":[15,20,29,50,76,150,165],"d-dimensional":[16],"t-representation":[17],"(also":[18],"called":[19],"t,d":[21],"\u2212intersection":[22],"representation),":[23],"that":[24],"is,":[25],"each":[26,55],"graph":[30,51],"in":[31,173,214],"has":[34,74],"an":[35,105,174],"associated":[36],"set":[37],"consisting":[38],"at":[40],"most":[41],"t":[42,70,80,101,136,153,211],"d":[43,56,62,82,96,138,151,207],"-dimensional":[44,152],"axis-parallel":[45],"boxes.":[46],"In":[47,131],"particular,":[48],"for":[49,54,71,93,134,169,186],"G":[52,64,73,98],"\u2265":[57],"1,":[58],"they":[59,84],"consider":[60,85,140],"i":[61,95],"(":[63,97],")":[65,99],"to":[66,176],"be":[67,192],"minimum":[69],"such":[75],"representation.":[77],"For":[78],"fixed":[79,135],",":[83,102,216],"labeled":[91],"\u2264":[100],"prove":[104],"upper":[106],"bound":[107],"$\\left(":[109],"{2nt":[110],"+":[111],"\\frac{1}{2}}":[112,119],"\\right)d\\log":[113,120],"-":[115,118],"\\left(":[116],"{n":[117],"(4\\pi":[121],"t)$":[122],"on":[123,182],"logarithm":[125],"size":[127],"class.":[130],"this":[132],"work,":[133],"we":[139],"unlabeled":[146],"-representation,":[154],"denoted":[155],"by":[156,205],"${\\mathcal{G}_{t,d}}$":[157,172,215],".":[158],"We":[159,218],"address":[160],"problem":[162],"designing":[164],"succinct":[166,183],"data":[167,184],"structure":[168],"attempt":[175],"generalize":[177],"relatively":[179],"recent":[180],"results":[181],"structures":[185],"interval":[187,199],"(Algorithmica'21).":[189],"Let":[190],"${\\mathcal{G}_t}{\\text{and}}{\\mathcal{G}_d}$":[191],"with":[197],"bounded":[198,202],"number":[200],"boxicity":[203],"obtained":[204],"setting":[206],"=":[208,212],"1":[209,213],"respectively.":[217],"following":[221],"results:":[222]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4398174333","counts_by_year":[],"updated_date":"2024-12-24T02:19:37.001906","created_date":"2024-05-22"}