{"id":"https://openalex.org/W3007936781","doi":"https://doi.org/10.1007/s00373-020-02141-4","title":"Tight Bounds for Illuminating and Covering of Orthotrees with Vertex Lights and Vertex Beacons","display_name":"Tight Bounds for Illuminating and Covering of Orthotrees with Vertex Lights and Vertex Beacons","publication_year":2020,"publication_date":"2020-02-20","ids":{"openalex":"https://openalex.org/W3007936781","doi":"https://doi.org/10.1007/s00373-020-02141-4","mag":"3007936781"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-020-02141-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-020-02141-4","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048575615","display_name":"Israel Aldana-Galv\u00e1n","orcid":"https://orcid.org/0000-0002-0842-0806"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"I. Aldana-Galv\u00e1n","raw_affiliation_strings":["Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0002-0842-0806","affiliations":[{"raw_affiliation_string":"Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074147302","display_name":"Jos\u00e9 Luis \u00c1lvarez-Rebollar","orcid":"https://orcid.org/0000-0002-7987-9470"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. L. \u00c1lvarez-Rebollar","raw_affiliation_strings":["Posgrado en Ciencias Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Posgrado en Ciencias Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015594674","display_name":"Juan C. Catana-Salazar","orcid":null},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. C. Catana-Salazar","raw_affiliation_strings":["Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018954980","display_name":"N. Mar\u00edn","orcid":"https://orcid.org/0000-0002-0222-3254"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"N. Mar\u00edn","raw_affiliation_strings":["Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002171388","display_name":"E. Sol\u00eds-Villarreal","orcid":null},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"E. Sol\u00eds-Villarreal","raw_affiliation_strings":["Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Posgrado en Ciencia e Ingenier\u00eda de la Computaci\u00f3n, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068857927","display_name":"Jorge Urrutia","orcid":"https://orcid.org/0000-0002-4158-5979"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"J. Urrutia","raw_affiliation_strings":["Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matem\u00e1ticas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051815641","display_name":"Carlos Velarde","orcid":"https://orcid.org/0000-0001-8381-0823"},"institutions":[{"id":"https://openalex.org/I8961855","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25","country_code":"MX","type":"education","lineage":["https://openalex.org/I8961855"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"C. Velarde","raw_affiliation_strings":["Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Investigaciones en Matem\u00e1ticas Aplicadas y en Sistemas, Universidad Nacional Aut\u00f3noma de M\u00e9xico, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I8961855"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5048575615"],"corresponding_institution_ids":["https://openalex.org/I8961855"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02993585,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"36","issue":"3","first_page":"617","last_page":"630"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9868999719619751,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9653000235557556,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/vertex","display_name":"Vertex (graph theory)","score":0.8384193181991577},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7440292835235596},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6463754177093506},{"id":"https://openalex.org/keywords/beacon","display_name":"Beacon","score":0.6189639568328857},{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.5965763926506042},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3302106261253357},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2983055114746094},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2412317991256714},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0783991813659668},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04692015051841736}],"concepts":[{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.8384193181991577},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7440292835235596},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6463754177093506},{"id":"https://openalex.org/C102168758","wikidata":"https://www.wikidata.org/wiki/Q7321258","display_name":"Beacon","level":2,"score":0.6189639568328857},{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.5965763926506042},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3302106261253357},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2983055114746094},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2412317991256714},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0783991813659668},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04692015051841736}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-020-02141-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-020-02141-4","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4099999964237213,"display_name":"Sustainable cities and communities"}],"awards":[{"id":"https://openalex.org/G6297129327","display_name":null,"funder_award_id":"PAPIIT Grant IN102117","funder_id":"https://openalex.org/F4320323401","funder_display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico"}],"funders":[{"id":"https://openalex.org/F4320323401","display_name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico","ror":"https://ror.org/01tmp8f25"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W91735945","https://openalex.org/W203475427","https://openalex.org/W1842505581","https://openalex.org/W1973307935","https://openalex.org/W2087422927","https://openalex.org/W2094658339","https://openalex.org/W2196720455","https://openalex.org/W2227225096","https://openalex.org/W2273570560","https://openalex.org/W2294705153","https://openalex.org/W2502636724","https://openalex.org/W2605125376","https://openalex.org/W2908391100","https://openalex.org/W2917908444","https://openalex.org/W2986240932","https://openalex.org/W3081978669","https://openalex.org/W6698630819"],"related_works":["https://openalex.org/W2101178385","https://openalex.org/W2790129070","https://openalex.org/W2106845956","https://openalex.org/W3158435160","https://openalex.org/W2112938119","https://openalex.org/W1643556013","https://openalex.org/W2132294172","https://openalex.org/W2277502495","https://openalex.org/W2902222102","https://openalex.org/W3111310291"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}