{"id":"https://openalex.org/W2911250737","doi":"https://doi.org/10.1017/s0963548302005564","title":"Subsequence Sums","display_name":"Subsequence Sums","publication_year":2003,"publication_date":"2003-07-01","ids":{"openalex":"https://openalex.org/W2911250737","doi":"https://doi.org/10.1017/s0963548302005564","mag":"2911250737"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548302005564","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548302005564","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","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/A5108518802","display_name":"Yahya Ould Hamidoune","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"YAHYA OULD HAMIDOUNE","raw_affiliation_strings":["Universit\u00e9 Pierre et Marie Curie, UFR 921, E. Combinatoire, 4 Place Jussieu, 75005 Paris, France (e-mail:"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Pierre et Marie Curie, UFR 921, E. Combinatoire, 4 Place Jussieu, 75005 Paris, France (e-mail:","institution_ids":["https://openalex.org/I39804081"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108518802"],"corresponding_institution_ids":["https://openalex.org/I39804081"],"apc_list":null,"apc_paid":null,"fwci":2.127,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.88298946,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"4","first_page":"413","last_page":"425"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9991999864578247,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9991999864578247,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9896000027656555,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/subsequence","display_name":"Subsequence","score":0.8998956084251404},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8465923070907593},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7530347108840942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6038635969161987},{"id":"https://openalex.org/keywords/wedge","display_name":"Wedge (geometry)","score":0.5280027389526367},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41328126192092896},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13713791966438293},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1066669225692749}],"concepts":[{"id":"https://openalex.org/C137877099","wikidata":"https://www.wikidata.org/wiki/Q1332977","display_name":"Subsequence","level":3,"score":0.8998956084251404},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8465923070907593},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7530347108840942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6038635969161987},{"id":"https://openalex.org/C47422493","wikidata":"https://www.wikidata.org/wiki/Q2755127","display_name":"Wedge (geometry)","level":2,"score":0.5280027389526367},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41328126192092896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13713791966438293},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1066669225692749},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548302005564","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548302005564","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W303163246","https://openalex.org/W330690688","https://openalex.org/W1785226876","https://openalex.org/W2013548241","https://openalex.org/W2027626405","https://openalex.org/W2030446850","https://openalex.org/W2045336254","https://openalex.org/W2079979850","https://openalex.org/W2120758432","https://openalex.org/W2132037650","https://openalex.org/W2160424782","https://openalex.org/W2320142020"],"related_works":["https://openalex.org/W2996768723","https://openalex.org/W4212895949","https://openalex.org/W4230102134","https://openalex.org/W4247866870","https://openalex.org/W2112772040","https://openalex.org/W3216774880","https://openalex.org/W2078387789","https://openalex.org/W2051502035","https://openalex.org/W4301400600","https://openalex.org/W4300143076"],"abstract_inverted_index":{"Let":[0,23,36],"$G$":[1],"be":[2,16,25,39,73],"a":[3,17,55,62,88,91],"cyclic":[4],"group":[5],"of":[6,19,21,28,42,49,90],"order":[7],"$n$":[8],"and":[9,97],"let":[10],"$\\mu":[11],"=":[12],"\\{x_1,x_2,":[13],"\\dots,":[14],"x_m\\}$":[15],"sequence":[18,34],"elements":[20],"$G$.":[22],"$k$":[24],"the":[26,33,40,43,50,69],"number":[27],"distinct":[29],"values":[30],"taken":[31],"by":[32],"$\\mu$.":[35],"$n\\wedge":[37],"\\mu$":[38,60],"set":[41],"$n$-subsequence":[44],"sums.We":[45],"show":[46],"that":[47,68],"one":[48],"following":[51],"conditions":[52],"holds:$\\mu$":[53],"has":[54],"value":[56],"repeated":[57],"$n-k+3$":[58],"times$n\\wedge":[59],"contains":[61],"non-null":[63],"subgroup$|n\\wedge":[64],"\\mu|\\geq":[65,77],"m-n+k-2.$We":[66],"conjecture":[67,80],"last":[70],"condition":[71],"could":[72],"improved":[74],"to":[75,95],"$|n\\wedge":[76],"m-n+k-1$.":[78],"This":[79],"generalizes":[81],"several":[82],"known":[83],"results.":[84],"We":[85],"also":[86],"obtain":[87],"generalization":[89],"recent":[92],"result":[93],"due":[94],"Bollob\u00e1s":[96],"Leader.":[98]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2019-02-21T00:00:00"}