{"id":"https://openalex.org/W2978301736","doi":"https://doi.org/10.1155/2019/7652729","title":"Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups","display_name":"Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups","publication_year":2019,"publication_date":"2019-10-03","ids":{"openalex":"https://openalex.org/W2978301736","doi":"https://doi.org/10.1155/2019/7652729","mag":"2978301736"},"language":"en","primary_location":{"id":"doi:10.1155/2019/7652729","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/7652729","pdf_url":"http://downloads.hindawi.com/journals/ijmms/2019/7652729.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://downloads.hindawi.com/journals/ijmms/2019/7652729.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047396592","display_name":"Khuanchanok Chaichana","orcid":"https://orcid.org/0000-0003-3246-673X"},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Khuanchanok Chaichana","raw_affiliation_strings":["Degree Program in Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Degree Program in Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060773249","display_name":"Pradthana Jaipong","orcid":"https://orcid.org/0000-0003-2700-3212"},"institutions":[{"id":"https://openalex.org/I48076826","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25","country_code":"TH","type":"education","lineage":["https://openalex.org/I48076826"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Pradthana Jaipong","raw_affiliation_strings":["Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand"],"raw_orcid":"https://orcid.org/0000-0003-2700-3212","affiliations":[{"raw_affiliation_string":"Center of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand","institution_ids":["https://openalex.org/I48076826"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060773249"],"corresponding_institution_ids":["https://openalex.org/I48076826"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.26730463,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2019","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9997000098228455,"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/T10849","display_name":"Finite Group Theory Research","score":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9991999864578247,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5729230046272278},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3846760094165802},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3689981698989868},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3577730357646942}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5729230046272278},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3846760094165802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3689981698989868},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3577730357646942}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2019/7652729","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/7652729","pdf_url":"http://downloads.hindawi.com/journals/ijmms/2019/7652729.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:jijmms:7652729","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/IJMMS/2019/7652729.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:b690cc1be666435d8512d0b5114ed680","is_oa":true,"landing_page_url":"https://doaj.org/article/b690cc1be666435d8512d0b5114ed680","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences, Vol 2019 (2019)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2019/7652729","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2019/7652729","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2019/7652729","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2019/7652729","pdf_url":"http://downloads.hindawi.com/journals/ijmms/2019/7652729.pdf","source":{"id":"https://openalex.org/S151851439","display_name":"International Journal of Mathematics and Mathematical Sciences","issn_l":"0161-1712","issn":["0161-1712","1687-0425"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Mathematics and Mathematical Sciences","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321529","display_name":"Chiang Mai University","ror":"https://ror.org/05m2fqn25"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2978301736.pdf","grobid_xml":"https://content.openalex.org/works/W2978301736.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1502907585","https://openalex.org/W1588675809","https://openalex.org/W1998935705","https://openalex.org/W2006925622","https://openalex.org/W2009008162","https://openalex.org/W2071657051","https://openalex.org/W2075077706","https://openalex.org/W2116104175","https://openalex.org/W2990363820"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"we":[3,45],"work":[4],"on":[5,19],"the":[6,56],"Fuchsian":[7],"group":[8],"<mml:math":[9,20],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,21],"id=\"M1\"><mml:mrow><mml:mi>H</mml:mi><mml:msqrt><mml:mi>m</mml:mi></mml:msqrt></mml:mrow></mml:math>":[11],"where":[12],"m":[13],"is":[14],"a":[15],"prime":[16],"number":[17],"acting":[18],"id=\"M2\"><mml:mrow><mml:msqrt><mml:mi>m</mml:mi></mml:msqrt><mml:mrow><mml:mover":[22],"accent=\"true\"><mml:mi>\u211a</mml:mi><mml:mo>^</mml:mo></mml:mover></mml:mrow></mml:mrow></mml:math>":[23],"transitively.":[24],"We":[25],"give":[26,55],"necessary":[27],"and":[28,54],"sufficient":[29],"conditions":[30],"for":[31],"two":[32],"vertices":[33],"to":[34],"be":[35],"adjacent":[36],"in":[37,52],"suborbital":[38],"graphs":[39,53],"induced":[40],"by":[41],"these":[42],"groups.":[43],"Moreover,":[44],"investigate":[46],"infinite":[47],"paths":[48],"of":[49,59,62],"minimal":[50],"length":[51],"recursive":[57],"representation":[58],"continued":[60],"fraction":[61],"such":[63],"vertex.":[64]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
