{"id":"https://openalex.org/W4280610780","doi":"https://doi.org/10.1007/s00446-022-00424-y","title":"Linial for lists","display_name":"Linial for lists","publication_year":2022,"publication_date":"2022-05-17","ids":{"openalex":"https://openalex.org/W4280610780","doi":"https://doi.org/10.1007/s00446-022-00424-y"},"language":"lv","primary_location":{"id":"doi:10.1007/s00446-022-00424-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-022-00424-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00446-022-00424-y.pdf","source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00446-022-00424-y.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083037622","display_name":"Yannic Maus","orcid":"https://orcid.org/0000-0003-4062-6991"},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Yannic Maus","raw_affiliation_strings":["TU Graz, Graz, 8010, Austria","TU Graz, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TU Graz, Graz, 8010, Austria","institution_ids":["https://openalex.org/I4092182"]},{"raw_affiliation_string":"TU Graz, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036943365","display_name":"Tigran Tonoyan","orcid":"https://orcid.org/0000-0003-2062-9896"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Tigran Tonoyan","raw_affiliation_strings":["Technion \u2013 Israel Institute of Technology, Haifa, 32000, Israel","Technion \u2013 Israel Institute of Technology, Haifa, Israel"],"raw_orcid":"https://orcid.org/0000-0003-2062-9896","affiliations":[{"raw_affiliation_string":"Technion \u2013 Israel Institute of Technology, Haifa, 32000, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion \u2013 Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083037622"],"corresponding_institution_ids":["https://openalex.org/I4092182"],"apc_list":{"value":2490,"currency":"EUR","value_usd":3090},"apc_paid":{"value":2490,"currency":"EUR","value_usd":3090},"fwci":0.6089,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69897773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"35","issue":"6","first_page":"533","last_page":"546"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","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/T10720","display_name":"Complexity and Algorithms in Graphs","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/T10374","display_name":"Advanced Graph Theory Research","score":0.9987999796867371,"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":0.9922999739646912,"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/algorithm","display_name":"Algorithm","score":0.5061127543449402},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29539939761161804}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5061127543449402},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29539939761161804}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00446-022-00424-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-022-00424-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00446-022-00424-y.pdf","source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00446-022-00424-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-022-00424-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00446-022-00424-y.pdf","source":{"id":"https://openalex.org/S139349430","display_name":"Distributed Computing","issn_l":"0178-2770","issn":["0178-2770","1432-0452"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Distributed Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7871524305","display_name":null,"funder_award_id":"755839","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320310430","display_name":"TU Graz, Internationale Beziehungen und Mobilit\u00e4tsprogramme","ror":"https://ror.org/00d7xrm67"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4280610780.pdf","grobid_xml":"https://content.openalex.org/works/W4280610780.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W1957963525","https://openalex.org/W1970330908","https://openalex.org/W1977066974","https://openalex.org/W1996066664","https://openalex.org/W2006040238","https://openalex.org/W2022155283","https://openalex.org/W2054910423","https://openalex.org/W2065826935","https://openalex.org/W2065967498","https://openalex.org/W2071034628","https://openalex.org/W2109368894","https://openalex.org/W2136185479","https://openalex.org/W2157562188","https://openalex.org/W2164604747","https://openalex.org/W2243868910","https://openalex.org/W2467514673","https://openalex.org/W2487364517","https://openalex.org/W2552279664","https://openalex.org/W2554518674","https://openalex.org/W2607483562","https://openalex.org/W2772780650","https://openalex.org/W2797253418","https://openalex.org/W2913663107","https://openalex.org/W2949268223","https://openalex.org/W2954841372","https://openalex.org/W2962985337","https://openalex.org/W2963238998","https://openalex.org/W2963341346","https://openalex.org/W2963472820","https://openalex.org/W2963662927","https://openalex.org/W2963830589","https://openalex.org/W2963840696","https://openalex.org/W2964145385","https://openalex.org/W2972260066","https://openalex.org/W3000828483","https://openalex.org/W3034790637","https://openalex.org/W3046415422","https://openalex.org/W3046763033","https://openalex.org/W3046783344","https://openalex.org/W3046867548","https://openalex.org/W3126682399","https://openalex.org/W3174327139","https://openalex.org/W4205300528","https://openalex.org/W4229960859","https://openalex.org/W4301139072"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2544423928","https://openalex.org/W2053286651","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2052122378","https://openalex.org/W2062023542","https://openalex.org/W4313731559"],"abstract_inverted_index":{"Abstract":[0],"Linial\u2019s":[1,188],"famous":[2],"color":[3,63,141,154,189],"reduction":[4,190],"algorithm":[5,232],"reduces":[6],"a":[7,12,44,53,65,75,92,140,153,166,183,196,204,210],"given":[8,70],"m":[9,72,103],"-coloring":[10,73],"of":[11,67,78,94,165,170,182,323],"graph":[13,77],"with":[14],"maximum":[15,79],"degree":[16],"$$\\varDelta":[17,283,306],"$$":[18,82,307],"<mml:math":[19,28,83,109,145,220,253,288,308],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[20,29,84,110,146,221,254,289,309],"<mml:mi>\u0394</mml:mi>":[21,34,261,263,291,299,310],"</mml:math>":[22,41,86,138,148,229,275,303,311],"to":[23,60,174,203,246,304],"an":[24,71,192],"$$O(\\varDelta":[25],"^2\\log":[26],"m)$$":[27],"<mml:mrow>":[30,111,112,120,222,255,257,260,292],"<mml:mi>O</mml:mi>":[31,256,293],"<mml:mo>(</mml:mo>":[32,114,121,223,258,294],"<mml:msup>":[33,116,269,290,295],"<mml:mn>2</mml:mn>":[35,118],"</mml:msup>":[36,119,272,298,302],"<mml:mo>log</mml:mo>":[37,122,125,126,129,130,262,270,296],"<mml:mi>m</mml:mi>":[38,127],"<mml:mo>)</mml:mo>":[39,134,135,227,266,300],"</mml:mrow>":[40,115,136,137,228,264,267,274,301],"-coloring,":[42],"in":[43,47,74,155,158],"single":[45],"round":[46],"the":[48,159,163,175,214,244,279,318],"LOCAL":[49,160],"model.":[50,161],"We":[51],"give":[52],"similar":[54],"result":[55,200],"when":[56],"nodes":[57],"are":[58,315],"restricted":[59],"choose":[61],"their":[62],"from":[64,139,233],"list":[66,93,173,206],"allowed":[68],"colors:":[69],"directed":[76],"outdegree":[80],"$$\\beta":[81],"<mml:mi>\u03b2</mml:mi>":[85,117,123],",":[87],"if":[88],"every":[89],"node":[90,167],"has":[91],"size":[95,281],"$$\\varOmega":[96],"(\\beta":[97],"^2":[98],"(\\log":[99],"\\beta":[100],"+\\log":[101],"\\log":[102,105,106,248],"+":[104],"|{\\mathcal":[107],"{C}}|))$$":[108],"<mml:mi>\u03a9</mml:mi>":[113],"<mml:mo>+</mml:mo>":[124,128,225,268],"<mml:mo>|</mml:mo>":[131,133],"<mml:mi>C</mml:mi>":[132,147],"space":[142],"$${\\mathcal":[143],"{C}}$$":[144],"then":[149],"they":[150],"can":[151],"select":[152],"two":[156],"rounds":[157],"Moreover,":[162],"communication":[164],"essentially":[168],"consists":[169],"sending":[171],"its":[172],"neighbors.":[176],"This":[177],"is":[178],"obtained":[179],"as":[180,195],"part":[181],"framework":[184,322],"that":[185],"also":[186,201],"contains":[187],"(with":[191],"alternative":[193],"proof)":[194],"special":[197],"case.":[198],"Our":[199,313],"leads":[202],"defective":[205],"coloring":[207,231,321],"algorithm.":[208],"As":[209],"corollary,":[211],"we":[212],"improve":[213],"state-of-the-art":[215],"truly":[216],"local":[217,319],"$$({\\text":[218],"{deg}}+1)$$":[219],"<mml:mtext>deg</mml:mtext>":[224],"<mml:mn>1</mml:mn>":[226],"-list":[230],"Barenboim":[234],"et":[235,325],"al.":[236,326],"(PODC,":[237],"pp":[238,329],"437\u2013446,":[239],"2018)":[240],"by":[241,317],"slightly":[242],"reducing":[243,278],"runtime":[245],"$$O(\\sqrt{\\varDelta":[247],"\\varDelta":[249,286],"})+\\log":[250],"^*":[251,285],"n$$":[252],"<mml:msqrt>":[259],"</mml:msqrt>":[265],"<mml:mo>\u2217</mml:mo>":[271,297],"<mml:mi>n</mml:mi>":[273],"and":[276],"significantly":[277],"message":[280],"(from":[282],"^{O(\\log":[284],")}$$":[287],"roughly":[305],").":[312],"techniques":[314],"inspired":[316],"conflict":[320],"Fraigniaud":[324],"(in:":[327],"FOCS,":[328],"625\u2013634,":[330],"2016).":[331]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-23T08:51:43.019350","created_date":"2022-05-22T00:00:00"}