{"id":"https://openalex.org/W1989508789","doi":"https://doi.org/10.1016/s0166-218x(99)00016-5","title":"Domination number of the cross product of paths","display_name":"Domination number of the cross product of paths","publication_year":1999,"publication_date":"1999-05-01","ids":{"openalex":"https://openalex.org/W1989508789","doi":"https://doi.org/10.1016/s0166-218x(99)00016-5","mag":"1989508789"},"language":"en","primary_location":{"id":"doi:10.1016/s0166-218x(99)00016-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(99)00016-5","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","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/A5002201897","display_name":"Rachid Ch\u00e9rifi","orcid":null},"institutions":[{"id":"https://openalex.org/I177483745","display_name":"Universit\u00e9 Joseph Fourier","ror":"https://ror.org/02aj0kh94","country_code":"FR","type":"education","lineage":["https://openalex.org/I177483745"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Rachid Ch\u00e9rifi","raw_affiliation_strings":["Universit\u00e9 J. Fourier, IMAG-LSD2, B.P. 53, 46 avenue F\u00e9lix Viallet, 38041 Grenoble Cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 J. Fourier, IMAG-LSD2, B.P. 53, 46 avenue F\u00e9lix Viallet, 38041 Grenoble Cedex 9, France","institution_ids":["https://openalex.org/I177483745","https://openalex.org/I899635006"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113579552","display_name":"Sylvain Gravier","orcid":null},"institutions":[{"id":"https://openalex.org/I177483745","display_name":"Universit\u00e9 Joseph Fourier","ror":"https://ror.org/02aj0kh94","country_code":"FR","type":"education","lineage":["https://openalex.org/I177483745"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sylvain Gravier","raw_affiliation_strings":["Universit\u00e9 J. Fourier, IMAG-LSD2, B.P. 53, 46 avenue F\u00e9lix Viallet, 38041 Grenoble Cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 J. Fourier, IMAG-LSD2, B.P. 53, 46 avenue F\u00e9lix Viallet, 38041 Grenoble Cedex 9, France","institution_ids":["https://openalex.org/I177483745","https://openalex.org/I899635006"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033213456","display_name":"Xavier Lagraula","orcid":null},"institutions":[{"id":"https://openalex.org/I177483745","display_name":"Universit\u00e9 Joseph Fourier","ror":"https://ror.org/02aj0kh94","country_code":"FR","type":"education","lineage":["https://openalex.org/I177483745"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Xavier Lagraula","raw_affiliation_strings":["Universit\u00e9 J. Fourier, Grenoble, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 J. Fourier, Grenoble, France","institution_ids":["https://openalex.org/I177483745","https://openalex.org/I899635006"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111824392","display_name":"Charles Payan","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Charles Payan","raw_affiliation_strings":["CNRS, Laboratoire Leibniz-IMAG, 46 avenue F\u00e9lix Viallet, 38031 Grenoble Cedex, France","CNRS, Laboratoire Leibniz-Imag, 46 Avenue F\u00e9lix Viallet 38031, Grenoble Cedex France"],"affiliations":[{"raw_affiliation_string":"CNRS, Laboratoire Leibniz-IMAG, 46 avenue F\u00e9lix Viallet, 38031 Grenoble Cedex, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CNRS, Laboratoire Leibniz-Imag, 46 Avenue F\u00e9lix Viallet 38031, Grenoble Cedex France","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052149772","display_name":"Isma\u00efl Zighem","orcid":null},"institutions":[{"id":"https://openalex.org/I177483745","display_name":"Universit\u00e9 Joseph Fourier","ror":"https://ror.org/02aj0kh94","country_code":"FR","type":"education","lineage":["https://openalex.org/I177483745"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Isma\u00efl Zighem","raw_affiliation_strings":["Universit\u00e9 J. Fourier, IMAG-LSD2, B.P. 53, 46 avenue F\u00e9lix Viallet, 38041 Grenoble Cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 J. Fourier, IMAG-LSD2, B.P. 53, 46 avenue F\u00e9lix Viallet, 38041 Grenoble Cedex 9, France","institution_ids":["https://openalex.org/I177483745","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5113579552"],"corresponding_institution_ids":["https://openalex.org/I177483745","https://openalex.org/I899635006"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.4871,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.63233912,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"94","issue":"1-3","first_page":"101","last_page":"139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9980000257492065,"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/T12288","display_name":"Optimization and Search Problems","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.7958767414093018},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6855663657188416},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.624458372592926},{"id":"https://openalex.org/keywords/cross-product","display_name":"Cross product","score":0.5438334345817566},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.51912921667099},{"id":"https://openalex.org/keywords/lattice-graph","display_name":"Lattice graph","score":0.5179940462112427},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5113129615783691},{"id":"https://openalex.org/keywords/np-complete","display_name":"NP-complete","score":0.5009603500366211},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.4300695061683655},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39350655674934387},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.27971380949020386},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.18727532029151917},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.08487817645072937},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.08269700407981873}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7958767414093018},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6855663657188416},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.624458372592926},{"id":"https://openalex.org/C82927061","wikidata":"https://www.wikidata.org/wiki/Q178192","display_name":"Cross product","level":2,"score":0.5438334345817566},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.51912921667099},{"id":"https://openalex.org/C145580432","wikidata":"https://www.wikidata.org/wiki/Q6497118","display_name":"Lattice graph","level":5,"score":0.5179940462112427},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5113129615783691},{"id":"https://openalex.org/C122749075","wikidata":"https://www.wikidata.org/wiki/Q215206","display_name":"NP-complete","level":3,"score":0.5009603500366211},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.4300695061683655},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39350655674934387},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.27971380949020386},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.18727532029151917},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.08487817645072937},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.08269700407981873},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0166-218x(99)00016-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0166-218x(99)00016-5","pdf_url":null,"source":{"id":"https://openalex.org/S171741597","display_name":"Discrete Applied Mathematics","issn_l":"0166-218X","issn":["0166-218X","1872-6771"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1983550937","https://openalex.org/W2000865051","https://openalex.org/W2032551157","https://openalex.org/W2063572899","https://openalex.org/W2077912884","https://openalex.org/W2101183555","https://openalex.org/W2148043549","https://openalex.org/W4232336108","https://openalex.org/W4361867857"],"related_works":["https://openalex.org/W2349109195","https://openalex.org/W2953046811","https://openalex.org/W2383129606","https://openalex.org/W2154705857","https://openalex.org/W2275356378","https://openalex.org/W2762120601","https://openalex.org/W2104330975","https://openalex.org/W922283457","https://openalex.org/W834885418","https://openalex.org/W2036334548"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
