{"id":"https://openalex.org/W4415245950","doi":"https://doi.org/10.48550/arxiv.2510.07422","title":"Homomorphism Problems in Graph Databases and Automatic Structures","display_name":"Homomorphism Problems in Graph Databases and Automatic Structures","publication_year":2025,"publication_date":"2025-10-08","ids":{"openalex":"https://openalex.org/W4415245950","doi":"https://doi.org/10.48550/arxiv.2510.07422"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2510.07422","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.07422","pdf_url":"https://arxiv.org/pdf/2510.07422","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2510.07422","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063732938","display_name":"R\u00e9mi Morvan","orcid":"https://orcid.org/0000-0002-1418-3405"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Morvan, R\u00e9mi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063732938"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9991000294685364,"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"}},"topics":[{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9991000294685364,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9968000054359436,"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/T11106","display_name":"Data Management and Algorithms","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/conjunctive-query","display_name":"Conjunctive query","score":0.8047000169754028},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.7603999972343445},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.6865000128746033},{"id":"https://openalex.org/keywords/algebra-homomorphism","display_name":"Algebra homomorphism","score":0.6227999925613403},{"id":"https://openalex.org/keywords/boolean-conjunctive-query","display_name":"Boolean conjunctive query","score":0.5995000004768372},{"id":"https://openalex.org/keywords/undecidable-problem","display_name":"Undecidable problem","score":0.5960999727249146},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5580000281333923},{"id":"https://openalex.org/keywords/graph-homomorphism","display_name":"Graph homomorphism","score":0.5031999945640564},{"id":"https://openalex.org/keywords/query-language","display_name":"Query language","score":0.47620001435279846},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3986999988555908}],"concepts":[{"id":"https://openalex.org/C65647387","wikidata":"https://www.wikidata.org/wiki/Q1781706","display_name":"Conjunctive query","level":3,"score":0.8047000169754028},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.7603999972343445},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.6865000128746033},{"id":"https://openalex.org/C175316100","wikidata":"https://www.wikidata.org/wiki/Q3882299","display_name":"Algebra homomorphism","level":3,"score":0.6227999925613403},{"id":"https://openalex.org/C24755975","wikidata":"https://www.wikidata.org/wiki/Q4943354","display_name":"Boolean conjunctive query","level":5,"score":0.5995000004768372},{"id":"https://openalex.org/C192034797","wikidata":"https://www.wikidata.org/wiki/Q3502995","display_name":"Undecidable problem","level":3,"score":0.5960999727249146},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5580000281333923},{"id":"https://openalex.org/C7036158","wikidata":"https://www.wikidata.org/wiki/Q3385162","display_name":"Graph homomorphism","level":5,"score":0.5031999945640564},{"id":"https://openalex.org/C192028432","wikidata":"https://www.wikidata.org/wiki/Q845739","display_name":"Query language","level":2,"score":0.47620001435279846},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46880000829696655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45719999074935913},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4390000104904175},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41029998660087585},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3986999988555908},{"id":"https://openalex.org/C176225458","wikidata":"https://www.wikidata.org/wiki/Q595971","display_name":"Graph database","level":3,"score":0.3946000039577484},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.3517000079154968},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.3490999937057495},{"id":"https://openalex.org/C65180967","wikidata":"https://www.wikidata.org/wiki/Q130901","display_name":"Binary relation","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.33000001311302185},{"id":"https://openalex.org/C157692150","wikidata":"https://www.wikidata.org/wiki/Q2919848","display_name":"Query optimization","level":2,"score":0.3138999938964844},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.3075000047683716},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.3061999976634979},{"id":"https://openalex.org/C558772884","wikidata":"https://www.wikidata.org/wiki/Q1508564","display_name":"Graph rewriting","level":3,"score":0.30160000920295715},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.29989999532699585},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.29820001125335693},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C2989070954","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database query","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C64339825","wikidata":"https://www.wikidata.org/wiki/Q722659","display_name":"Graph property","level":5,"score":0.2782000005245209},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.2736999988555908},{"id":"https://openalex.org/C203264685","wikidata":"https://www.wikidata.org/wiki/Q2328174","display_name":"Atomic formula","level":2,"score":0.267300009727478},{"id":"https://openalex.org/C5655090","wikidata":"https://www.wikidata.org/wiki/Q192588","display_name":"Relational database","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C4554734","wikidata":"https://www.wikidata.org/wiki/Q593744","display_name":"Knowledge base","level":2,"score":0.2590000033378601},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.2556999921798706}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2510.07422","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.07422","pdf_url":"https://arxiv.org/pdf/2510.07422","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:2025BORD0117","is_oa":true,"landing_page_url":"http://www.theses.fr/2025BORD0117/document","pdf_url":null,"source":{"id":"https://openalex.org/S4406923047","display_name":"theses.fr (ABES)","issn_l":null,"issn":null,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"doi:10.48550/arxiv.2510.07422","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.07422","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2510.07422","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.07422","pdf_url":"https://arxiv.org/pdf/2510.07422","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"thesis":[1,110],"investigates":[2],"the":[3,30,40,61,70,76,79,87,109,150,165],"central":[4],"role":[5],"of":[6,52,64,72,78,100,108,159,168],"homomorphism":[7,38,112,130],"problems":[8,113,131],"(structure-preserving":[9],"maps)":[10],"in":[11,103,138,194],"two":[12,68],"complementary":[13],"domains:":[14],"database":[15],"querying":[16],"over":[17,24,132],"finite,":[18],"graph-shaped":[19],"data,":[20],"and":[21,37,75,92,142,171],"constraint":[22],"solving":[23],"(potentially":[25],"infinite)":[26],"structures.":[27],"Building":[28],"on":[29,44,164,174],"well-known":[31],"equivalence":[32],"between":[33,129],"conjunctive":[34,45,53],"query":[35,65,80],"evaluation":[36],"existence,":[39],"first":[41],"part":[42,107],"focuses":[43],"regular":[46],"path":[47],"queries,":[48],"a":[49,97,127,175],"standard":[50],"extension":[51],"queries":[54,101],"that":[55,135,144,180],"incorporates":[56],"regular-path":[57],"predicates.":[58],"We":[59,125],"study":[60],"fundamental":[62],"problem":[63,88],"minimization":[66],"under":[67],"measures:":[69],"number":[71],"atoms":[73],"(constraints)":[74],"tree-width":[77],"graph.":[81],"In":[82,154],"both":[83],"cases,":[84],"we":[85,161],"prove":[86],"to":[89,114,148,156],"be":[90,149,192],"decidable,":[91],"provide":[93],"efficient":[94],"algorithms":[95],"for":[96,181],"large":[98],"fragment":[99],"used":[102],"practice.":[104],"The":[105],"second":[106],"lifts":[111],"automatic":[115,133,189],"structures,":[116,170],"which":[117],"are":[118,136,145],"infinite":[119],"structures":[120,134],"describable":[121],"by":[122],"finite":[123],"automata.":[124],"highlight":[126],"dichotomy,":[128],"decidable":[137],"non-deterministic":[139],"logarithmic":[140],"space,":[141],"those":[143],"undecidable":[146],"(proving":[147],"more":[151],"common":[152],"case).":[153],"contrast":[155],"this":[157,195],"prevalence":[158],"undecidability,":[160],"then":[162],"focus":[163],"language-theoretic":[166],"properties":[167],"these":[169],"show,":[172],"relying":[173],"novel":[176],"algebraic":[177],"language":[178],"theory,":[179],"any":[182],"well-behaved":[183],"logic":[184,196],"(a":[185],"pseudovariety),":[186],"whether":[187],"an":[188],"structure":[190],"can":[191],"described":[193],"is":[197],"decidable.":[198]},"counts_by_year":[],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-16T00:00:00"}
