{"id":"https://openalex.org/W7159585421","doi":"https://doi.org/10.48550/arxiv.2604.27227","title":"Designing sparse temporal graphs satisfying connectivity requirements","display_name":"Designing sparse temporal graphs satisfying connectivity requirements","publication_year":2026,"publication_date":"2026-04-29","ids":{"openalex":"https://openalex.org/W7159585421","doi":"https://doi.org/10.48550/arxiv.2604.27227"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.27227","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27227","pdf_url":null,"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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.27227","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043348180","display_name":"Thomas Bellitto","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bellitto, Thomas","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134978118","display_name":"Jules Bouton Popper","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Popper, Jules Bouton","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5134961346","display_name":"Justine Cauvi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cauvi, Justine","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107838417","display_name":"B. Escoffier","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Escoffier, Bruno","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5134989439","display_name":"Rapha\u00eblle Maistre-Matus","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maistre-Matus, Rapha\u00eblle","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11896","display_name":"Opportunistic and Delay-Tolerant Networks","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.0008999999845400453,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T13553","display_name":"Age of Information Optimization","score":0.00039999998989515007,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/pairwise-comparison","display_name":"Pairwise comparison","score":0.6015999913215637},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5541999936103821},{"id":"https://openalex.org/keywords/feedback-arc-set","display_name":"Feedback arc set","score":0.5275999903678894},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48730000853538513},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.460999995470047},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.4117000102996826},{"id":"https://openalex.org/keywords/feedback-vertex-set","display_name":"Feedback vertex set","score":0.40299999713897705},{"id":"https://openalex.org/keywords/comparability-graph","display_name":"Comparability graph","score":0.3752000033855438}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6015999913215637},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5541999936103821},{"id":"https://openalex.org/C157951044","wikidata":"https://www.wikidata.org/wiki/Q1400910","display_name":"Feedback arc set","level":5,"score":0.5275999903678894},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48730000853538513},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.460999995470047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45829999446868896},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4546000063419342},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44699999690055847},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.4117000102996826},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4097999930381775},{"id":"https://openalex.org/C28723256","wikidata":"https://www.wikidata.org/wiki/Q1400918","display_name":"Feedback vertex set","level":4,"score":0.40299999713897705},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3903999924659729},{"id":"https://openalex.org/C198414033","wikidata":"https://www.wikidata.org/wiki/Q5155607","display_name":"Comparability graph","level":5,"score":0.3752000033855438},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.37059998512268066},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.3582000136375427},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.3573000133037567},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.353300005197525},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.34060001373291016},{"id":"https://openalex.org/C17169500","wikidata":"https://www.wikidata.org/wiki/Q3033506","display_name":"Null graph","level":5,"score":0.33649998903274536},{"id":"https://openalex.org/C62989814","wikidata":"https://www.wikidata.org/wiki/Q854648","display_name":"Gossip","level":2,"score":0.3327000141143799},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.33079999685287476},{"id":"https://openalex.org/C123482549","wikidata":"https://www.wikidata.org/wiki/Q826467","display_name":"Regular graph","level":5,"score":0.2946000099182129},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C17758045","wikidata":"https://www.wikidata.org/wiki/Q2642629","display_name":"Multigraph","level":3,"score":0.25940001010894775}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.27227","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27227","pdf_url":null,"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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.27227","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.27227","pdf_url":null,"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":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Connectivity":[0,68],"of":[1,47,55,67,142,153,156,165,185,201,222],"temporal":[2,33,110,120,143],"graphs":[3,205],"has":[4],"been":[5],"widely":[6],"studied":[7],"both":[8],"as":[9,13,118,122],"graph":[10,34,77,111,132,159,192],"theory":[11],"and":[12,160,217],"gossip":[14],"theory.":[15],"In":[16],"particular,":[17],"it":[18,213],"is":[19,44,106,135,146,150,162,177,195,214],"well":[20],"known":[21],"that":[22,78,92,124,139,174,206,234],"in":[23,240],"order":[24],"to":[25,29,36,58,89,95,98,102,107],"connect":[26],"every":[27,30],"vertex":[28,115,170],"other,":[31],"a":[32,75,109,199,208,229],"needs":[35],"have":[37],"at":[38],"least":[39],"$2n-4$":[40],"edges":[41,56,121],"where":[42,71,84,148],"$n$":[43],"the":[45,52,65,81,113,128,131,140,151,157,163,175,191],"number":[46,54,141,152],"vertices.":[48],"This":[49],"paper":[50],"investigates":[51],"optimal":[53],"required":[57,145],"satisfy":[59,126],"partial":[60],"connectivity":[61],"requirements.":[62],"We":[63,232],"introduce":[64],"problem":[66,176],"Request":[69],"Satisfaction":[70],"we":[72,79,93,133,137,193,197],"are":[73],"given":[74],"directed":[76,168],"call":[80],"request":[82,158,204],"graph,":[83],"an":[85],"arc":[86],"from":[87,100],"$u$":[88,101],"$v$":[90],"means":[91],"need":[94],"be":[96,238],"able":[97],"go":[99],"$v$.":[103],"Our":[104],"goal":[105],"build":[108,134,194],"on":[112],"same":[114],"set":[116,221],"with":[117,210],"few":[119],"possible":[123,215],"would":[125],"all":[127,227],"requests.":[129],"When":[130,190],"directed,":[136],"prove":[138,233],"arcs":[144],"$n-\\mathrm{cc}+\\mathrm{dfvs}$":[147],"$\\mathrm{cc}$":[149],"connected":[154,203],"component":[155],"$\\mathrm{dfvs}$":[161],"size":[164],"its":[166],"smallest":[167],"feedback":[169],"set.":[171],"It":[172],"follows":[173],"NP-complete":[178],"but":[179],"inherits":[180],"fixed":[181],"parameter":[182],"tractability":[183],"properties":[184],"Directed":[186],"Feedback":[187],"Vertex":[188],"Set.":[189],"undirected,":[196],"establish":[198],"characterization":[200],"strongly":[202],"admit":[207],"solution":[209],"$n-1$":[211],"edges:":[212],"if":[216,219],"only":[218],"any":[220],"pairwise":[223],"non-vertex-disjoint":[224],"closed":[225],"walks":[226],"share":[228],"common":[230],"vertex.":[231],"this":[235],"criteria":[236],"can":[237],"tested":[239],"polynomial":[241],"time.":[242]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-05-02T00:00:00"}
