{"id":"https://openalex.org/W7163886094","doi":"https://doi.org/10.4230/lipics.cpm.2026.24","title":"On Occurrence-Preserving Morphisms","display_name":"On Occurrence-Preserving Morphisms","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7163886094","doi":"https://doi.org/10.4230/lipics.cpm.2026.24"},"language":"en","primary_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:25950","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2026.24","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.24/LIPIcs.CPM.2026.24.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.2026.24/LIPIcs.CPM.2026.24.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113004231","display_name":"Kaisei Kishi","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kishi, Kaisei","raw_affiliation_strings":["Department of Information Science and Technology, Kyushu University, Fukuoka, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Science and Technology, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102652602","display_name":"Peaker Guo","orcid":"https://orcid.org/0000-0002-9098-1783"},"institutions":[{"id":"https://openalex.org/I4210125947","display_name":"Japan Research Institute","ror":"https://ror.org/02m5srn05","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210125947"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Guo, Peaker","raw_affiliation_strings":["M&D Data Science Center, Institute of Integrated Research, Institute of Science Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0002-9098-1783","affiliations":[{"raw_affiliation_string":"M&D Data Science Center, Institute of Integrated Research, Institute of Science Tokyo, Japan","institution_ids":["https://openalex.org/I4210125947"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5138169766","display_name":"Cristian Urbina","orcid":"https://orcid.org/0000-0001-8979-9055"},"institutions":[{"id":"https://openalex.org/I4210086090","display_name":"Fraunhofer Chile Research Foundation","ror":"https://ror.org/00h0my365","country_code":"CL","type":"facility","lineage":["https://openalex.org/I4210086090","https://openalex.org/I4923324"]},{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["CL","PL"],"is_corresponding":false,"raw_author_name":"Urbina, Cristian","raw_affiliation_strings":["Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland","Center for Biotechnology and Bioengineering (CeBiB), Santiago, Chile"],"raw_orcid":"https://orcid.org/0000-0001-8979-9055","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland","institution_ids":["https://openalex.org/I4654613"]},{"raw_affiliation_string":"Center for Biotechnology and Bioengineering (CeBiB), Santiago, Chile","institution_ids":["https://openalex.org/I4210086090"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5011046118","display_name":"Hideo Bannai","orcid":"https://orcid.org/0000-0002-6856-5185"},"institutions":[{"id":"https://openalex.org/I4210125947","display_name":"Japan Research Institute","ror":"https://ror.org/02m5srn05","country_code":"JP","type":"facility","lineage":["https://openalex.org/I4210125947"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Bannai, Hideo","raw_affiliation_strings":["M&D Data Science Center, Institute of Integrated Research, Institute of Science Tokyo, Japan"],"raw_orcid":"https://orcid.org/0000-0002-6856-5185","affiliations":[{"raw_affiliation_string":"M&D Data Science Center, Institute of Integrated Research, Institute of Science Tokyo, Japan","institution_ids":["https://openalex.org/I4210125947"]}]}],"institutions":[],"countries_distinct_count":3,"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":0.94270808,"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/T11567","display_name":"semigroups and automata theory","score":0.8417999744415283,"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/T11567","display_name":"semigroups and automata theory","score":0.8417999744415283,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.09560000151395798,"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/T11269","display_name":"Algorithms and Data Compression","score":0.014299999922513962,"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/morphism","display_name":"Morphism","score":0.8712000250816345},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.754800021648407},{"id":"https://openalex.org/keywords/substring","display_name":"Substring","score":0.7401000261306763},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6351000070571899},{"id":"https://openalex.org/keywords/combinatorics-on-words","display_name":"Combinatorics on words","score":0.6209999918937683},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5968000292778015},{"id":"https://openalex.org/keywords/lexicographical-order","display_name":"Lexicographical order","score":0.5800999999046326}],"concepts":[{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.8712000250816345},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.754800021648407},{"id":"https://openalex.org/C182407805","wikidata":"https://www.wikidata.org/wiki/Q2626534","display_name":"Substring","level":3,"score":0.7401000261306763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7267000079154968},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6351000070571899},{"id":"https://openalex.org/C164804908","wikidata":"https://www.wikidata.org/wiki/Q2985058","display_name":"Combinatorics on words","level":3,"score":0.6209999918937683},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5968000292778015},{"id":"https://openalex.org/C159254197","wikidata":"https://www.wikidata.org/wiki/Q1144915","display_name":"Lexicographical order","level":2,"score":0.5800999999046326},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.546999990940094},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.4878000020980835},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47130000591278076},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4203000068664551},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.3711000084877014},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.37070000171661377},{"id":"https://openalex.org/C134400042","wikidata":"https://www.wikidata.org/wiki/Q2372244","display_name":"Symbol (formal)","level":2,"score":0.3522000014781952},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.31630000472068787},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2831000089645386},{"id":"https://openalex.org/C2778523021","wikidata":"https://www.wikidata.org/wiki/Q5532504","display_name":"Quantifier (linguistics)","level":2,"score":0.2750000059604645}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:drops-oai.dagstuhl.de:25950","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2026.24","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.24/LIPIcs.CPM.2026.24.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.2026.24","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.cpm.2026.24","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:25950","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CPM.2026.24","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol369-cpm2026/LIPIcs.CPM.2026.24/LIPIcs.CPM.2026.24.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":[{"display_name":"Reduced inequalities","score":0.49660325050354004,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7163886094.pdf","grobid_xml":"https://content.openalex.org/works/W7163886094.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"A":[0],"morphism":[1,70],"is":[2,14,35],"a":[3,18,69,118,126,147],"mapping":[4],"that":[5,30,40,144],"transforms":[6],"words":[7,73,176],"through":[8],"letter-wise":[9],"substitution,":[10],"where":[11],"each":[12],"symbol":[13],"consistently":[15],"replaced":[16],"by":[17],"fixed":[19],"word.":[20],"In":[21],"the":[22,36,57,64,85,94,108,150,154,169,172,187],"field":[23],"of":[24,38,87,89,96,98,110,129,134,138,153,156,162],"combinatorics":[25],"on":[26,59,198],"words,":[27],"one":[28],"topic":[29],"has":[31],"attracted":[32],"considerable":[33],"attention":[34],"characterization":[37,128,170],"morphisms":[39,131],"preserve":[41],"specific":[42],"properties,":[43,115],"such":[44],"as":[45],"overlap-freeness,":[46],"square-freeness,":[47],"lexicographic":[48],"order,":[49],"and":[50,75,77,116,160,174,191],"primitivity.":[51],"Continuing":[52],"this":[53,104],"direction,":[54],"we":[55,106,141,185],"initiate":[56],"study":[58],"occurrence-preserving":[60,130],"morphisms,":[61,112],"which":[62],"address":[63],"following":[65],"fundamental":[66],"question:":[67],"given":[68],"\u03d5,":[71],"two":[72],"u":[74,90,157],"v,":[76],"k":[78],"\u2265":[79],"1,":[80],"under":[81],"what":[82],"conditions":[83],"does":[84],"number":[86,95],"occurrences":[88,97,155,193,200],"in":[91,100,132,158,164,201],"v":[92,159],"equal":[93],"\u03d5^k(u)":[99,163],"\u03d5^k(v)?":[101],"To":[102],"answer":[103],"question,":[105],"introduce":[107],"notion":[109],"interference-free":[111],"examine":[113],"their":[114,179],"uncover":[117],"connection":[119,188],"to":[120,171,177,194],"recognizable":[121],"morphisms.":[122],"We":[123,166],"then":[124,167],"present":[125],"precise":[127],"terms":[133],"interference-freeness.":[135],"As":[136],"applications":[137],"our":[139],"characterization,":[140],"first":[142],"show":[143],"there":[145],"exists":[146],"bijection":[148],"between":[149,189],"starting":[151],"positions":[152],"those":[161],"\u03d5^k(v).":[165],"apply":[168],"Fibonacci":[173],"Thue-Morse":[175],"identify":[178],"minimal":[180],"unique":[181],"substrings":[182],"(MUSs).":[183],"Finally,":[184],"exploit":[186],"MUSs":[190],"net":[192,199],"simplify":[195],"existing":[196],"proofs":[197],"these":[202],"words.":[203]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-06-09T00:00:00"}