{"id":"https://openalex.org/W4417512483","doi":"https://doi.org/10.37236/15119","title":"The Chromatic Symmetric Function for Unicyclic Graphs","display_name":"The Chromatic Symmetric Function for Unicyclic Graphs","publication_year":2026,"publication_date":"2026-07-17","ids":{"openalex":"https://openalex.org/W4417512483","doi":"https://doi.org/10.37236/15119"},"language":"en","primary_location":{"id":"doi:10.37236/15119","is_oa":true,"landing_page_url":"https://doi.org/10.37236/15119","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v33i3p12/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v33i3p12/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072144299","display_name":"Aram Bingham","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Aram Bingham","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062241268","display_name":"Lisa Johnston","orcid":"https://orcid.org/0000-0001-6908-9240"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lisa Johnston","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110227223","display_name":"Colin Lawson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Colin Lawson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054549002","display_name":"Rosa Orellana","orcid":"https://orcid.org/0000-0002-8562-3615"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rosa Orellana","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018484014","display_name":"Jianping Pan","orcid":"https://orcid.org/0000-0001-6722-8091"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianping Pan","raw_affiliation_strings":["Arizona State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":null,"display_name":"Chelsea Sato","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chelsea Sato","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12785976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.6498000025749207,"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"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.6498000025749207,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.10830000042915344,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.1062999963760376,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.65420001745224},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5672000050544739},{"id":"https://openalex.org/keywords/real-line","display_name":"Real line","score":0.42410001158714294},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.4115999937057495},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.35569998621940613},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.32010000944137573}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7332000136375427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7135999798774719},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.65420001745224},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5672000050544739},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43970000743865967},{"id":"https://openalex.org/C75432250","wikidata":"https://www.wikidata.org/wiki/Q29654355","display_name":"Real line","level":2,"score":0.42410001158714294},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.4115999937057495},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.35569998621940613},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.32010000944137573},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.27970001101493835},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.25450000166893005},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.2508000135421753}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.37236/15119","is_oa":true,"landing_page_url":"https://doi.org/10.37236/15119","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v33i3p12/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2505.06486","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2505.06486","pdf_url":"https://arxiv.org/pdf/2505.06486","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2505.06486","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2505.06486","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.37236/15119","is_oa":true,"landing_page_url":"https://doi.org/10.37236/15119","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v33i3p12/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4417512483.pdf","grobid_xml":"https://content.openalex.org/works/W4417512483.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Motivated":[0],"by":[1,85,98,116,133],"the":[2,15,22,40,69,100,108,111,123,157],"question":[3],"of":[4,8,24,71,74,81,102,143,146,156],"which":[5],"structural":[6,154],"properties":[7,155],"a":[9,103],"graph":[10,106],"can":[11,34,64],"be":[12,35],"recovered":[13],"from":[14],"chromatic":[16],"symmetric":[17],"function":[18],"(CSF),":[19],"we":[20,43,63],"study":[21],"CSF":[23,101],"connected":[25,104],"unicyclic":[26,37,92,105],"graphs.":[27,93],"While":[28],"it":[29],"is":[30],"known":[31,87],"that":[32,46],"there":[33],"non-isomorphic":[36],"graphs":[38,52],"with":[39,53],"same":[41],"CSF,":[42],"find":[44],"experimentally":[45],"such":[47,67],"examples":[48],"are":[49,96],"rare":[50],"for":[51,89,141,150],"up":[54],"to":[55,91],"17":[56],"vertices.":[57],"In":[58],"fact,":[59],"in":[60,107],"many":[61],"cases":[62],"recover":[65],"data":[66],"as":[68,128,130],"number":[70,73,80],"leaves,":[72],"internal":[75],"edges,":[76],"cycle":[77],"size,":[78],"and":[79,119,121],"attached":[82],"non-trivial":[83],"trees,":[84],"extending":[86],"results":[88,95],"trees":[90],"These":[94],"obtained":[97],"analyzing":[99],"star-basis":[109],"using":[110,153],"deletion-near-contraction":[112],"(DNC)":[113],"relation":[114],"developed":[115],"Aliste-Prieto,":[117],"Orellana":[118],"Zamora,":[120],"computing":[122],"\"leading\"":[124],"partition,":[125],"its":[126],"coefficient,":[127],"well":[129],"coefficients":[131,152],"indexed":[132],"hook":[134],"partitions.":[135],"We":[136],"also":[137],"give":[138],"explicit":[139],"formulas":[140],"star-expansions":[142],"several":[144],"classes":[145],"graphs,":[147],"developing":[148],"methods":[149],"extracting":[151],"graph.":[158]},"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2025-10-10T00:00:00"}