{"id":"https://openalex.org/W2735296881","doi":"https://doi.org/10.37236/6468","title":"Coloring Chains for Compression with Uncertain Priors","display_name":"Coloring Chains for Compression with Uncertain Priors","publication_year":2018,"publication_date":"2018-12-21","ids":{"openalex":"https://openalex.org/W2735296881","doi":"https://doi.org/10.37236/6468","mag":"2735296881"},"language":"en","primary_location":{"id":"doi:10.37236/6468","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6468","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p46/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":"preprint","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/v25i4p46/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089252105","display_name":"Noah Golowich","orcid":"https://orcid.org/0000-0003-2274-7861"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Noah Golowich","raw_affiliation_strings":["Harvard University"],"affiliations":[{"raw_affiliation_string":"Harvard University","institution_ids":["https://openalex.org/I2801851002"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5089252105"],"corresponding_institution_ids":["https://openalex.org/I2801851002"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02034653,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9990000128746033,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9976999759674072,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9975000023841858,"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":0.8458055853843689},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.6689919829368591},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.656069278717041},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6452768445014954},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.5527665019035339},{"id":"https://openalex.org/keywords/graph-homomorphism","display_name":"Graph homomorphism","score":0.5501322746276855},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5050118565559387},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.469461590051651},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.4311986565589905},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.17218422889709473},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.10589134693145752}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8458055853843689},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.6689919829368591},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.656069278717041},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6452768445014954},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.5527665019035339},{"id":"https://openalex.org/C7036158","wikidata":"https://www.wikidata.org/wiki/Q3385162","display_name":"Graph homomorphism","level":5,"score":0.5501322746276855},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5050118565559387},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.469461590051651},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.4311986565589905},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.17218422889709473},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.10589134693145752},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/6468","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6468","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p46/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:1707.03132","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.03132","pdf_url":"https://arxiv.org/pdf/1707.03132","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2735296881","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1707.03132.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1707.03132","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1707.03132","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/6468","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6468","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p46/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":[{"id":"https://metadata.un.org/sdg/16","score":0.4399999976158142,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2735296881.pdf","grobid_xml":"https://content.openalex.org/works/W2735296881.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1515359378","https://openalex.org/W1963931974","https://openalex.org/W1989616165","https://openalex.org/W2054910423","https://openalex.org/W2061819450","https://openalex.org/W2069566112","https://openalex.org/W2074728115","https://openalex.org/W2154378347","https://openalex.org/W2161409967"],"related_works":["https://openalex.org/W2887949973","https://openalex.org/W3092295815","https://openalex.org/W2004207893","https://openalex.org/W2118626701","https://openalex.org/W1760031592","https://openalex.org/W2047472567","https://openalex.org/W2997917651","https://openalex.org/W2952837428","https://openalex.org/W2098488162","https://openalex.org/W3203804965","https://openalex.org/W3023439304","https://openalex.org/W2164538103","https://openalex.org/W3157909119","https://openalex.org/W3138200510","https://openalex.org/W3023108549","https://openalex.org/W2528451802","https://openalex.org/W2964082660","https://openalex.org/W2797081366","https://openalex.org/W2736873987","https://openalex.org/W2952577914"],"abstract_inverted_index":{"Haramaty":[0],"and":[1,14,18,73,102,131,154],"Sudan":[2],"considered":[3,108],"the":[4,22,55,93,97,115,125],"problem":[5,94,107],"of":[6,58,71,83,95,100,117,128],"transmitting":[7],"a":[8,31,36,59,89,103,136,143],"message":[9,23],"between":[10,77,92],"two":[11],"people,":[12],"Alice":[13],"Bob,":[15],"when":[16,133],"Alice's":[17],"Bob's":[19],"priors":[20],"on":[21,54,124,157],"are":[24,68,76],"allowed":[25],"to":[26,49,151],"differ":[27],"by":[28,109,121],"at":[29],"most":[30],"given":[32],"factor.":[33],"To":[34],"find":[35],"deterministic":[37],"compression":[38],"scheme":[39],"for":[40,63],"this":[41],"problem,":[42],"they":[43],"showed":[44],"that":[45,79,141],"it":[46],"is":[47,88,135],"sufficient":[48],"obtain":[50],"an":[51],"upper":[52,153],"bound":[53],"chromatic":[56,98,126],"number":[57,99],"graph,":[60],"denoted":[61],"$U(N,s,k)$":[62,101],"parameters":[64],"$N,s,k$,":[65],"whose":[66,74],"vertices":[67,78],"nested":[69],"sequences":[70,82],"subsets":[72],"edges":[75],"have":[80],"similar":[81],"sets.":[84],"In":[85],"turn,":[86],"there":[87,134],"close":[90],"relationship":[91],"determining":[96],"local":[104],"graph":[105],"coloring":[106],"Erd\u0151s":[110,118],"et":[111,119],"al.":[112,120],"We":[113,146],"generalize":[114],"results":[116,150],"finding":[122],"bounds":[123,156],"numbers":[127],"graphs":[129],"$H$":[130],"$G$":[132],"homomorphism":[137],"$\\phi":[138],":H\\rightarrow":[139],"G$":[140],"satisfies":[142],"nice":[144],"property.":[145],"then":[147],"use":[148],"these":[149],"improve":[152],"lower":[155],"$\\chi(U(N,s,k))$.":[158]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}