{"id":"https://openalex.org/W7163872027","doi":"https://doi.org/10.4230/lipics.cpm.2026.13","title":"Totally Unclustered BWT Images of Any Length over Non-Binary Alphabets","display_name":"Totally Unclustered BWT Images of Any Length over Non-Binary Alphabets","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7163872027","doi":"https://doi.org/10.4230/lipics.cpm.2026.13"},"language":"en","primary_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:25939","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2026.13","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.13/LIPIcs.CPM.2026.13.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.13/LIPIcs.CPM.2026.13.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024628248","display_name":"Gabriele Fici","orcid":"https://orcid.org/0000-0002-3536-327X"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fici, Gabriele","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Palermo, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3536-327X","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138161864","display_name":"Est\u00e9ban Gabory","orcid":"https://orcid.org/0000-0002-9897-1512"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Gabory, Est\u00e9ban","raw_affiliation_strings":["Institute of Computer Science, University of Wroc\u0142aw, Poland"],"raw_orcid":"https://orcid.org/0000-0002-9897-1512","affiliations":[{"raw_affiliation_string":"Institute of Computer Science, University of Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962","https://openalex.org/I4210087266"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063451211","display_name":"Giuseppe Romana","orcid":"https://orcid.org/0000-0002-3489-0684"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Romana, Giuseppe","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Palermo, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3489-0684","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017003045","display_name":"Marinella Sciortino","orcid":"https://orcid.org/0000-0001-6928-0168"},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sciortino, Marinella","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Palermo, Italy"],"raw_orcid":"https://orcid.org/0000-0001-6928-0168","affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Palermo, Italy","institution_ids":["https://openalex.org/I900890020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.96068643,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.4431999921798706,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.4431999921798706,"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/T12923","display_name":"Digital Image Processing Techniques","score":0.1460999995470047,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11567","display_name":"semigroups and automata theory","score":0.09040000289678574,"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/conjecture","display_name":"Conjecture","score":0.6789000034332275},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.572700023651123},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4334000051021576},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.4203000068664551},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.38839998841285706},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.3458999991416931},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.3027999997138977}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7541999816894531},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6789000034332275},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6586999893188477},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.572700023651123},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4334000051021576},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4302999973297119},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.4203000068664551},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.38839998841285706},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.3458999991416931},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30140000581741333},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.29510000348091125},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.27219998836517334},{"id":"https://openalex.org/C188521023","wikidata":"https://www.wikidata.org/wiki/Q6795644","display_name":"Maximal set","level":3,"score":0.2583000063896179},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.2565999925136566},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.2551000118255615},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.2547000050544739}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:drops-oai.dagstuhl.de:25939","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2026.13","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.13/LIPIcs.CPM.2026.13.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"doi:10.4230/lipics.cpm.2026.13","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.cpm.2026.13","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:25939","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2026.13","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.13/LIPIcs.CPM.2026.13.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7163872027.pdf","grobid_xml":"https://content.openalex.org/works/W7163872027.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,58],"prove":[1],"that":[2],"for":[3,10],"every":[4,11],"integer":[5],"n":[6,24,37],">":[7],"0":[8],"and":[9],"alphabet":[12],"\u03a3_k":[13],"of":[14,22,35,51,55,76],"size":[15],"k":[16],"\u2265":[17],"3,":[18],"there":[19],"exist":[20],"words":[21,46],"length":[23],"whose":[25],"Burrows-Wheeler":[26],"Transform":[27],"(BWT)":[28],"is":[29,83],"totally":[30,79],"unclustered,":[31],"i.e.,":[32],"it":[33],"consists":[34],"exactly":[36],"runs":[38],"with":[39,69],"no":[40],"two":[41],"consecutive":[42],"equal":[43],"symbols.":[44],"These":[45],"represent":[47],"the":[48,52,56,70,74],"worst-case":[49],"behavior":[50],"clustering":[53],"effect":[54],"BWT.":[57],"also":[59],"establish":[60],"a":[61],"lower":[62],"bound":[63],"on":[64,92],"their":[65],"number.":[66],"This":[67],"contrasts":[68],"binary":[71],"case,":[72],"where":[73],"existence":[75],"infinitely":[77],"many":[78],"unclustered":[80],"BWT":[81],"images":[82],"still":[84],"an":[85],"open":[86],"problem,":[87],"related":[88],"to":[89],"Artin\u2019s":[90],"conjecture":[91],"primitive":[93],"roots.":[94]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-06-09T00:00:00"}
