{"id":"https://openalex.org/W2074392665","doi":"https://doi.org/10.1145/1721837.1721850","title":"Efficient algorithms for the 2-gathering problem","display_name":"Efficient algorithms for the 2-gathering problem","publication_year":2010,"publication_date":"2010-03-01","ids":{"openalex":"https://openalex.org/W2074392665","doi":"https://doi.org/10.1145/1721837.1721850","mag":"2074392665"},"language":"en","primary_location":{"id":"doi:10.1145/1721837.1721850","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1721837.1721850","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011274645","display_name":"Alon Shalita","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Alon Shalita","raw_affiliation_strings":["Tel Aviv University, Tel Aviv, Israel","Tel Aviv University, Tel Aviv, Israel,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel,","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005525211","display_name":"Uri Zwick","orcid":"https://orcid.org/0000-0002-7638-7710"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Uri Zwick","raw_affiliation_strings":["Tel Aviv University, Tel Aviv, Israel","Tel Aviv University, Tel Aviv, Israel,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Tel Aviv University, Tel Aviv, Israel,","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011274645"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.12456275,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"6","issue":"2","first_page":"1","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9987000226974487,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pebble","display_name":"Pebble","score":0.6097123026847839},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5334033966064453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5057468414306641},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5029005408287048},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4983484745025635},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4555971622467041},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.42586612701416016},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42279601097106934},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4183536767959595},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3359556794166565},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0959940254688263}],"concepts":[{"id":"https://openalex.org/C2777760186","wikidata":"https://www.wikidata.org/wiki/Q14673","display_name":"Pebble","level":2,"score":0.6097123026847839},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5334033966064453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5057468414306641},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5029005408287048},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4983484745025635},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4555971622467041},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.42586612701416016},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42279601097106934},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4183536767959595},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3359556794166565},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0959940254688263},{"id":"https://openalex.org/C114793014","wikidata":"https://www.wikidata.org/wiki/Q52109","display_name":"Geomorphology","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1721837.1721850","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1721837.1721850","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1499313444","https://openalex.org/W1705181306","https://openalex.org/W1972978715","https://openalex.org/W2003813631","https://openalex.org/W2008816808","https://openalex.org/W2028503265","https://openalex.org/W2038558760","https://openalex.org/W2054076729","https://openalex.org/W2059608229","https://openalex.org/W2066743906","https://openalex.org/W2067665587","https://openalex.org/W2077574397","https://openalex.org/W2091299439","https://openalex.org/W2104701012","https://openalex.org/W2120263102","https://openalex.org/W2124295613","https://openalex.org/W2154451802","https://openalex.org/W2163532091","https://openalex.org/W2180193454","https://openalex.org/W2623778450","https://openalex.org/W4233756358","https://openalex.org/W4316652496"],"related_works":["https://openalex.org/W4200088481","https://openalex.org/W2334606969","https://openalex.org/W2146545591","https://openalex.org/W2052387254","https://openalex.org/W2046565574","https://openalex.org/W2968367996","https://openalex.org/W4387045277","https://openalex.org/W2038610180","https://openalex.org/W2034513372","https://openalex.org/W3033713861"],"abstract_inverted_index":{"Pebbles":[0],"are":[1],"placed":[2],"on":[3,35],"some":[4],"vertices":[5,62],"of":[6,22,61,68,70,89,99],"a":[7,75,83,96],"directed":[8],"graph.":[9,72],"Is":[10],"it":[11,105],"possible":[12],"to":[13,115],"move":[14],"each":[15],"pebble":[16,32],"along":[17],"at":[18],"most":[19],"one":[20],"edge":[21],"the":[23,28,53,59,66,71,80,87,100,110],"graph":[24],"so":[25],"that":[26,85],"in":[27],"final":[29],"configuration":[30],"no":[31],"is":[33,58,65,77,106],"left":[34],"its":[36],"own?":[37],"We":[38],"give":[39],"an":[40],"O":[41],"(":[42],"mn":[43],")-time":[44],"algorithm":[45,81],"for":[46],"solving":[47],"this":[48],"problem,":[49,55],"which":[50],"we":[51],"call":[52],"2-gathering":[54,76,93],"where":[56],"n":[57],"number":[60,67,88],"and":[63,104],"m":[64],"edges":[69],"If":[73],"such":[74],"not":[78],"possible,":[79],"finds":[82],"solution":[84],"minimizes":[86],"solitary":[90],"pebbles.":[91],"The":[92],"problem":[94,103],"forms":[95],"nontrivial":[97],"generalization":[98],"nonbipartite":[101],"matching":[102,117],"solved":[107],"by":[108],"extending":[109],"augmenting":[111],"paths":[112],"technique":[113],"used":[114],"solve":[116],"problems.":[118]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
