{"id":"https://openalex.org/W4396815660","doi":"https://doi.org/10.48550/arxiv.2405.04559","title":"Understanding High-Order Network Structure using Permissible Walks on Attributed Hypergraphs","display_name":"Understanding High-Order Network Structure using Permissible Walks on Attributed Hypergraphs","publication_year":2024,"publication_date":"2024-05-07","ids":{"openalex":"https://openalex.org/W4396815660","doi":"https://doi.org/10.48550/arxiv.2405.04559"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2405.04559","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.04559","pdf_url":"https://arxiv.org/pdf/2405.04559","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2405.04559","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070081715","display_name":"Enzo Battistella","orcid":"https://orcid.org/0000-0001-7053-5666"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Battistella, Enzo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001066333","display_name":"Sean English","orcid":"https://orcid.org/0000-0003-1830-8671"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"English, Sean","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075565472","display_name":"Robert Green","orcid":"https://orcid.org/0000-0002-3792-2725"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Green, Robert","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059387152","display_name":"Cliff Joslyn","orcid":"https://orcid.org/0000-0002-5923-5547"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joslyn, Cliff","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097357435","display_name":"Evgeniya Lagoda","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lagoda, Evgeniya","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5097335995","display_name":"Van Magnan","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Magnan, Van","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038687349","display_name":"Audun Myers","orcid":"https://orcid.org/0000-0001-6268-9227"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Myers, Audun","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113204421","display_name":"Evan D. Nash","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nash, Evan D.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5032354259","display_name":"Michael Robinson","orcid":"https://orcid.org/0000-0003-0766-3301"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Robinson, Michael","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5070081715"],"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9857000112533569,"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":0.9857000112533569,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6619452834129333},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48387348651885986},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4462786018848419},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34581559896469116},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3429185152053833},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.22207295894622803},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16950547695159912}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6619452834129333},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48387348651885986},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4462786018848419},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34581559896469116},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3429185152053833},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.22207295894622803},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16950547695159912},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2405.04559","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.04559","pdf_url":"https://arxiv.org/pdf/2405.04559","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2405.04559","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2405.04559","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":"pmh:oai:arXiv.org:2405.04559","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2405.04559","pdf_url":"https://arxiv.org/pdf/2405.04559","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Hypergraphs":[0],"have":[1],"been":[2],"a":[3,13,46,50,53,62,81,84,113,122],"recent":[4],"focus":[5,44],"of":[6,24,49,64,80,90,104,127],"study":[7],"in":[8,33,52,67],"mathematical":[9],"data":[10,124],"science":[11],"as":[12,129,133],"tool":[14],"to":[15,29,121],"understand":[16],"complex":[17],"networks":[18],"with":[19,83],"high-order":[20],"connections.":[21],"One":[22],"question":[23],"particular":[25],"relevance":[26],"is":[27],"how":[28],"leverage":[30],"information":[31,98],"carried":[32],"hypergraph":[34,82],"attributions":[35,103],"when":[36],"doing":[37],"walk-based":[38],"techniques.":[39],"In":[40],"this":[41,110],"work,":[42],"we":[43,117],"on":[45,112],"new":[47],"generalization":[48],"walk":[51,70],"network":[54],"that":[55],"recovers":[56],"previous":[57],"approaches":[58],"and":[59,101,131],"allows":[60],"for":[61],"description":[63],"permissible":[65],"walks":[66],"hypergraphs.":[68],"Permissible":[69],"graphs":[71],"are":[72,138],"constructed":[73],"by":[74],"intersecting":[75],"the":[76,91,105],"attributed":[77,115],"$s$-line":[78],"graph":[79,94],"relation":[85],"respecting":[86],"graph.":[87],"The":[88],"attribution":[89],"hypergraph's":[92],"line":[93],"commonly":[95],"carries":[96],"over":[97],"from":[99],"categorical":[100],"temporal":[102],"original":[106],"hypergraph.":[107],"To":[108],"demonstrate":[109],"approach":[111],"temporally":[114],"example,":[116],"apply":[118],"our":[119],"framework":[120],"Reddit":[123],"set":[125],"composed":[126],"hyperedges":[128],"threads":[130],"authors":[132],"nodes":[134],"where":[135],"post":[136],"times":[137],"tracked.":[139]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2024-05-11T00:00:00"}
