{"id":"https://openalex.org/W4410712011","doi":"https://doi.org/10.1007/s00446-025-00485-9","title":"Distributed symmetry breaking on power graphs via sparsification","display_name":"Distributed symmetry breaking on power graphs via sparsification","publication_year":2025,"publication_date":"2025-05-24","ids":{"openalex":"https://openalex.org/W4410712011","doi":"https://doi.org/10.1007/s00446-025-00485-9"},"language":"en","primary_location":{"id":"doi:10.1007/s00446-025-00485-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-025-00485-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00446-025-00485-9.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/s00446-025-00485-9.pdf","any_repository_has_fulltext":true},"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":["Graz University of Technology, Graz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graz University of Technology, Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065123849","display_name":"Saku Peltonen","orcid":"https://orcid.org/0009-0004-1821-6915"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Saku Peltonen","raw_affiliation_strings":["Aalto University, Espoo, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064067007","display_name":"Jara Uitto","orcid":"https://orcid.org/0000-0002-5179-5056"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Jara Uitto","raw_affiliation_strings":["Aalto University, Espoo, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"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":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11756461,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"38","issue":"3","first_page":"261","last_page":"296"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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":0.9998999834060669,"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/T12288","display_name":"Optimization and Search Problems","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/T10374","display_name":"Advanced Graph Theory Research","score":0.9923999905586243,"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/algorithm","display_name":"Algorithm","score":0.6560249924659729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6515282988548279},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46553388237953186},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.42162439227104187},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3570340573787689},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3401920795440674},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3239634037017822},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.26760292053222656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25200992822647095}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6560249924659729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6515282988548279},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46553388237953186},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.42162439227104187},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3570340573787689},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3401920795440674},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3239634037017822},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.26760292053222656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25200992822647095}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00446-025-00485-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-025-00485-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00446-025-00485-9.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"},{"id":"pmh:oai:aaltodoc.aalto.fi:123456789/137136","is_oa":true,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=105006458188&partnerID=8YFLogxK","pdf_url":null,"source":{"id":"https://openalex.org/S4306401662","display_name":"Aaltodoc (Aalto University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9927081","host_organization_name":"Aalto University","host_organization_lineage":["https://openalex.org/I9927081"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"}],"best_oa_location":{"id":"doi:10.1007/s00446-025-00485-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00446-025-00485-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00446-025-00485-9.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":[],"funders":[{"id":"https://openalex.org/F4320321394","display_name":"Aalto-Yliopisto","ror":"https://ror.org/020hwjq30"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410712011.pdf","grobid_xml":"https://content.openalex.org/works/W4410712011.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W1523448599","https://openalex.org/W1836916015","https://openalex.org/W1964089073","https://openalex.org/W1983214236","https://openalex.org/W1989134823","https://openalex.org/W1992996565","https://openalex.org/W1996066664","https://openalex.org/W1997010704","https://openalex.org/W1998544343","https://openalex.org/W2023634316","https://openalex.org/W2052811387","https://openalex.org/W2054910423","https://openalex.org/W2063844956","https://openalex.org/W2071114738","https://openalex.org/W2074803875","https://openalex.org/W2149652607","https://openalex.org/W2467514673","https://openalex.org/W2552279664","https://openalex.org/W2552762966","https://openalex.org/W2739022923","https://openalex.org/W2788015272","https://openalex.org/W2951940772","https://openalex.org/W2953390354","https://openalex.org/W2962677563","https://openalex.org/W2963158951","https://openalex.org/W2963197483","https://openalex.org/W2963232515","https://openalex.org/W2963662927","https://openalex.org/W2963983116","https://openalex.org/W2964046371","https://openalex.org/W2964107726","https://openalex.org/W2964145385","https://openalex.org/W2981949299","https://openalex.org/W3017383812","https://openalex.org/W3022033828","https://openalex.org/W3026254764","https://openalex.org/W3034790637","https://openalex.org/W3045651373","https://openalex.org/W3046650147","https://openalex.org/W3046763033","https://openalex.org/W3046782065","https://openalex.org/W3048681077","https://openalex.org/W3103554207","https://openalex.org/W3103733145","https://openalex.org/W3117607498","https://openalex.org/W3170394705","https://openalex.org/W3177097187","https://openalex.org/W3179553191","https://openalex.org/W3184953392","https://openalex.org/W3185293089","https://openalex.org/W3210810470","https://openalex.org/W3210958954","https://openalex.org/W4205300528","https://openalex.org/W4210854863","https://openalex.org/W4253069973","https://openalex.org/W4255054927","https://openalex.org/W4292753483","https://openalex.org/W4313227551","https://openalex.org/W4316652332","https://openalex.org/W4316652339","https://openalex.org/W4316652418"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W4409439182","https://openalex.org/W2053286651","https://openalex.org/W2980963558","https://openalex.org/W2181743346","https://openalex.org/W2187401768","https://openalex.org/W2181413294","https://openalex.org/W2052122378"],"abstract_inverted_index":{"Abstract":[0],"In":[1,70],"this":[2,71,273],"paper":[3],"we":[4,62,73],"present":[5,182,297],"efficient":[6],"distributed":[7,32],"algorithms":[8,184],"for":[9,185,241,272,292,300],"classical":[10],"symmetry":[11,65],"breaking":[12,66],"problems,":[13,159],"maximal":[14,187],"independent":[15,188,284],"sets":[16,161,189,192,245],"(MIS)":[17],"and":[18,190,296,308,319],"ruling":[19,135,160,191],"sets,":[20],"in":[21,26,50,67,131,170,202,212,312],"power":[22,84,163],"graphs.":[23],"We":[24,181,286],"work":[25],"the":[27,36,47,55,64,78,99,171,204,264,289,301,313,321],"standard":[28],"CONGEST":[29,51],"model":[30],"of":[31,98,107,124,148,153,158,193,246,283],"message":[33],"passing,":[34],"where":[35,77,95],"communication":[37,56,100],"network":[38,57,101],"is":[39,52,103,121,218,275],"abstracted":[40],"as":[41,207,324],"a":[42,75,83,122,134,145,155,219,276],"graph":[43,85],"G":[44,58,68,102,132,213],".":[45,69,214],"Typically,":[46],"problem":[48,79],"instance":[49,80],"identical":[53],"to":[54,82,105],",":[59,94,255],"that":[60,128],"is,":[61],"perform":[63],"work,":[72],"consider":[74],"setting":[76],"corresponds":[81],"$$G^k$$":[86,194,247],"<mml:math":[87,115,140,195,223,248],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[88,116,141,196,224,249],"<mml:msup>":[89,197,250],"<mml:mi>G</mml:mi>":[90,198,251],"<mml:mi>k</mml:mi>":[91,199,232,252],"</mml:msup>":[92,200,253],"</mml:math>":[93,118,143,201,238,254],"each":[96,129],"node":[97,130],"connected":[104],"all":[106],"its":[108],"k":[109,243,258],"-hop":[110],"neighbors.":[111],"A":[112],"$$\\beta":[113,138],"$$":[114,139],"<mml:mi>\u03b2</mml:mi>":[117,142],"-ruling":[119,244],"set":[120,123],"non-adjacent":[125],"nodes":[126],"such":[127],"has":[133],"neighbor":[136],"within":[137],"hops;":[144],"natural":[146,156],"generalization":[147],"an":[149],"MIS.":[150],"On":[151],"top":[152],"being":[154],"family":[157],"(in":[162],"graphs)":[164],"are":[165,306],"well-motivated":[166],"through":[167],"their":[168],"applications":[169],"powerful":[172],"shattering":[173,290],"framework":[174],"[BEPS":[175,294],"JACM\u201916,":[176],"Ghaffari":[177],"SODA\u201919]":[178],"(and":[179],"others).":[180],"randomized":[183],"computing":[186,242],"essentially":[203],"same":[205,322],"time":[206,239],"they":[208],"can":[209],"be":[210,282],"computed":[211],"Our":[215,268,304],"main":[216,269],"contribution":[217],"deterministic":[220,277],"$${{\\,\\textrm{poly}\\,}}(k,\\log":[221],"n)$$":[222],"<mml:mrow>":[225,226],"<mml:mspace/>":[227,229],"<mml:mtext>poly</mml:mtext>":[228],"</mml:mrow>":[230,237],"<mml:mo>(</mml:mo>":[231],"<mml:mo>,</mml:mo>":[233],"<mml:mo>log</mml:mo>":[234],"<mml:mi>n</mml:mi>":[235],"<mml:mo>)</mml:mo>":[236],"algorithm":[240,291],"which":[256,280],"(for":[257],"&gt;":[259],"1)":[260],"improves":[261],"exponentially":[262],"on":[263],"current":[265],"state-of-the-art":[266],"runtimes.":[267],"technical":[270],"ingredient":[271],"result":[274],"sparsification":[278],"procedure":[279],"may":[281],"interest.":[285],"also":[287],"revisit":[288],"MIS":[293],"JACM\u201916]":[295],"different":[298],"approaches":[299],"post-shattering":[302],"phase.":[303],"solutions":[305,318],"algorithmically":[307],"analytically":[309],"simpler":[310],"(also":[311],"LOCAL":[314],"model)":[315],"than":[316],"existing":[317],"obtain":[320],"runtime":[323],"[Ghaffari":[325],"SODA\u201916].":[326]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}