{"id":"https://openalex.org/W4280513346","doi":"https://doi.org/10.1080/09728600.2022.2072789","title":"Monophonic pebbling number and t-pebbling number of some graphs","display_name":"Monophonic pebbling number and t-pebbling number of some graphs","publication_year":2022,"publication_date":"2022-05-04","ids":{"openalex":"https://openalex.org/W4280513346","doi":"https://doi.org/10.1080/09728600.2022.2072789"},"language":"en","primary_location":{"id":"doi:10.1080/09728600.2022.2072789","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2022.2072789","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1080/09728600.2022.2072789","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069517120","display_name":"A. Lourdusamy","orcid":"https://orcid.org/0000-0001-5961-358X"},"institutions":[{"id":"https://openalex.org/I4401726862","display_name":"St. Xavier's College (Autonomous)","ror":"https://ror.org/0316y5a96","country_code":null,"type":"education","lineage":["https://openalex.org/I4401726862"]},{"id":"https://openalex.org/I906608882","display_name":"St Xavier\u2019s College","ror":"https://ror.org/039543c28","country_code":"IN","type":"education","lineage":["https://openalex.org/I906608882"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"A. Lourdusamy","raw_affiliation_strings":["Department of Mathematics, St. Xavier\u2019s College (Autonomous), Palayamkottai, Tamil Nadu, India","Department of Mathematics, St. Xavier's College (Autonomous), Palayamkottai, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0001-5961-358X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Xavier\u2019s College (Autonomous), Palayamkottai, Tamil Nadu, India","institution_ids":["https://openalex.org/I4401726862","https://openalex.org/I906608882"]},{"raw_affiliation_string":"Department of Mathematics, St. Xavier's College (Autonomous), Palayamkottai, Tamil Nadu, India","institution_ids":["https://openalex.org/I4401726862","https://openalex.org/I906608882"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028114636","display_name":"I. Dhivviyanandam","orcid":null},"institutions":[{"id":"https://openalex.org/I182997119","display_name":"Manonmaniam Sundaranar University","ror":"https://ror.org/02qgw5c67","country_code":"IN","type":"education","lineage":["https://openalex.org/I182997119"]},{"id":"https://openalex.org/I4401726862","display_name":"St. Xavier's College (Autonomous)","ror":"https://ror.org/0316y5a96","country_code":null,"type":"education","lineage":["https://openalex.org/I4401726862"]},{"id":"https://openalex.org/I906608882","display_name":"St Xavier\u2019s College","ror":"https://ror.org/039543c28","country_code":"IN","type":"education","lineage":["https://openalex.org/I906608882"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"I. Dhivviyanandam","raw_affiliation_strings":["Department of Mathematics, St. Xavier\u2019s College (Autonomous), Palayamkottai, Tamil Nadu, India","Reg. No : 20211282091003, 20211282092005, Manonmaniam Sundaranar University, Abisekapatti, Tamilnadu, India","Department of Mathematics, St. Xavier's College (Autonomous), Palayamkottai, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0002-3805-6638","affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Xavier\u2019s College (Autonomous), Palayamkottai, Tamil Nadu, India","institution_ids":["https://openalex.org/I4401726862","https://openalex.org/I906608882"]},{"raw_affiliation_string":"Reg. No : 20211282091003, 20211282092005, Manonmaniam Sundaranar University, Abisekapatti, Tamilnadu, India","institution_ids":["https://openalex.org/I182997119"]},{"raw_affiliation_string":"Department of Mathematics, St. Xavier's College (Autonomous), Palayamkottai, Tamil Nadu, India","institution_ids":["https://openalex.org/I4401726862","https://openalex.org/I906608882"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015271301","display_name":"S. Kither Iammal","orcid":"https://orcid.org/0000-0003-3553-0848"},"institutions":[{"id":"https://openalex.org/I182997119","display_name":"Manonmaniam Sundaranar University","ror":"https://ror.org/02qgw5c67","country_code":"IN","type":"education","lineage":["https://openalex.org/I182997119"]},{"id":"https://openalex.org/I4401726862","display_name":"St. Xavier's College (Autonomous)","ror":"https://ror.org/0316y5a96","country_code":null,"type":"education","lineage":["https://openalex.org/I4401726862"]},{"id":"https://openalex.org/I906608882","display_name":"St Xavier\u2019s College","ror":"https://ror.org/039543c28","country_code":"IN","type":"education","lineage":["https://openalex.org/I906608882"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Kither Iammal","raw_affiliation_strings":["Department of Mathematics, St. Xavier\u2019s College (Autonomous), Palayamkottai, Tamil Nadu, India","Reg. No : 20211282091003, 20211282092005, Manonmaniam Sundaranar University, Abisekapatti, Tamilnadu, India","Department of Mathematics, St. Xavier's College (Autonomous), Palayamkottai, Tamil Nadu, India"],"raw_orcid":"https://orcid.org/0000-0003-3553-0848","affiliations":[{"raw_affiliation_string":"Department of Mathematics, St. Xavier\u2019s College (Autonomous), Palayamkottai, Tamil Nadu, India","institution_ids":["https://openalex.org/I4401726862","https://openalex.org/I906608882"]},{"raw_affiliation_string":"Reg. No : 20211282091003, 20211282092005, Manonmaniam Sundaranar University, Abisekapatti, Tamilnadu, India","institution_ids":["https://openalex.org/I182997119"]},{"raw_affiliation_string":"Department of Mathematics, St. Xavier's College (Autonomous), Palayamkottai, Tamil Nadu, India","institution_ids":["https://openalex.org/I4401726862","https://openalex.org/I906608882"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028114636"],"corresponding_institution_ids":["https://openalex.org/I182997119","https://openalex.org/I4401726862","https://openalex.org/I906608882"],"apc_list":{"value":1000,"currency":"GBP","value_usd":1226},"apc_paid":{"value":1000,"currency":"GBP","value_usd":1226},"fwci":0.5358,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66387385,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"2","first_page":"108","last_page":"111"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9994999766349792,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9991000294685364,"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/combinatorics","display_name":"Combinatorics","score":0.8197530508041382},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7403395771980286},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6532573699951172},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6110259294509888},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5448898673057556},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4455147087574005},{"id":"https://openalex.org/keywords/connectivity","display_name":"Connectivity","score":0.42687681317329407},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34099656343460083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18600988388061523}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8197530508041382},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7403395771980286},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6532573699951172},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6110259294509888},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5448898673057556},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4455147087574005},{"id":"https://openalex.org/C76444178","wikidata":"https://www.wikidata.org/wiki/Q72897900","display_name":"Connectivity","level":3,"score":0.42687681317329407},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34099656343460083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18600988388061523},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/09728600.2022.2072789","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2022.2072789","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:fa5a9c3384ca491b8d4be8a2d58e48e9","is_oa":true,"landing_page_url":"https://doaj.org/article/fa5a9c3384ca491b8d4be8a2d58e48e9","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":"AKCE International Journal of Graphs and Combinatorics, Vol 19, Iss 2, Pp 108-111 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1080/09728600.2022.2072789","is_oa":true,"landing_page_url":"https://doi.org/10.1080/09728600.2022.2072789","pdf_url":null,"source":{"id":"https://openalex.org/S2764899362","display_name":"AKCE International Journal of Graphs and Combinatorics","issn_l":"0972-8600","issn":["0972-8600","2543-3474"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"AKCE International Journal of Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W22812177","https://openalex.org/W2000483727","https://openalex.org/W2013252038","https://openalex.org/W2094865676","https://openalex.org/W3155222853","https://openalex.org/W4300303686"],"related_works":["https://openalex.org/W4313216298","https://openalex.org/W2071797893","https://openalex.org/W2097063382","https://openalex.org/W2384431448","https://openalex.org/W3002741190","https://openalex.org/W2188756358","https://openalex.org/W3189256254","https://openalex.org/W3217780850","https://openalex.org/W2884117239","https://openalex.org/W2055455751"],"abstract_inverted_index":{"Assume":[0],"G":[1,61,96],"is":[2,15,25,31,47,118],"a":[3,43,78,110],"graph":[4,45],"with":[5],"some":[6],"pebbles":[7,18,59,94,99],"distributed":[8],"over":[9],"its":[10],"vertices.":[11],"A":[12],"pebbling":[13,39,81,113,126],"move":[14],"when":[16],"two":[17],"are":[19,140],"removed":[20],"from":[21],"one":[22,24,63],"vertex,":[23],"thrown":[26],"away,":[27],"and":[28,128,136],"the":[29,48,119],"other":[30],"moved":[32,102],"to":[33,65,68,100,103],"an":[34],"adjacent":[35],"vertex.":[36],"The":[37,83,124],"monophonic":[38,75,116,120,125,129],"number,":[40],"\u03bc(G),":[41],"of":[42,57,80,92,112,132,138],"connected":[44],"G,":[46],"least":[49,84],"positive":[50,85],"integer":[51,86],"n":[52,58,87,93],"such":[53,88],"that":[54,89],"any":[55,69,90,104],"distribution":[56,91],"on":[60,95],"allows":[62,97],"pebble":[64],"be":[66,101],"carried":[67],"specified":[70,105],"but":[71,106],"arbitrary":[72,107],"vertex":[73,108],"using":[74,115],"path":[76,117],"by":[77,109],"sequence":[79,111],"operations.":[82],"t":[98],"moves":[114],"t-pebbling":[121,130],"number":[122,127,131],"\u03bct(G).":[123],"Jahangir":[133],"graphs,":[134],"paths":[135,139],"square":[137],"determined":[141],"in":[142],"this":[143],"study.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
