{"id":"https://openalex.org/W1766136887","doi":"https://doi.org/10.1007/978-3-642-16988-5_2","title":"Planar Hop Spanners for Unit Disk Graphs","display_name":"Planar Hop Spanners for Unit Disk Graphs","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1766136887","doi":"https://doi.org/10.1007/978-3-642-16988-5_2","mag":"1766136887"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-16988-5_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-16988-5_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5085712844","display_name":"Nicolas Catusse","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115196","display_name":"Laboratoire d\u2019Informatique Fondamentale de Marseille","ror":"https://ror.org/022my8t07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210115196","https://openalex.org/I4210142724","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Nicolas Catusse","raw_affiliation_strings":["Laboratoire d\u2019Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d\u2019Aix-Marseille, F-13288, Marseille Cedex 9, France","Laboratoire d'Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d'Aix-Marseille, F-13288, Marseille Cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d\u2019Aix-Marseille, F-13288, Marseille Cedex 9, France","institution_ids":["https://openalex.org/I4210115196"]},{"raw_affiliation_string":"Laboratoire d'Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d'Aix-Marseille, F-13288, Marseille Cedex 9, France","institution_ids":["https://openalex.org/I4210115196","https://openalex.org/I21491767"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033947410","display_name":"Victor Chepoi","orcid":"https://orcid.org/0000-0002-0481-7312"},"institutions":[{"id":"https://openalex.org/I4210115196","display_name":"Laboratoire d\u2019Informatique Fondamentale de Marseille","ror":"https://ror.org/022my8t07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210115196","https://openalex.org/I4210142724","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Victor Chepoi","raw_affiliation_strings":["Laboratoire d\u2019Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d\u2019Aix-Marseille, F-13288, Marseille Cedex 9, France","Laboratoire d'Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d'Aix-Marseille, F-13288, Marseille Cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d\u2019Aix-Marseille, F-13288, Marseille Cedex 9, France","institution_ids":["https://openalex.org/I4210115196"]},{"raw_affiliation_string":"Laboratoire d'Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d'Aix-Marseille, F-13288, Marseille Cedex 9, France","institution_ids":["https://openalex.org/I4210115196","https://openalex.org/I21491767"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108138645","display_name":"Yann Vax\u00e8s","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115196","display_name":"Laboratoire d\u2019Informatique Fondamentale de Marseille","ror":"https://ror.org/022my8t07","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210115196","https://openalex.org/I4210142724","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yann Vax\u00e8s","raw_affiliation_strings":["Laboratoire d\u2019Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d\u2019Aix-Marseille, F-13288, Marseille Cedex 9, France","Laboratoire d'Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d'Aix-Marseille, F-13288, Marseille Cedex 9, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d\u2019Aix-Marseille, F-13288, Marseille Cedex 9, France","institution_ids":["https://openalex.org/I4210115196"]},{"raw_affiliation_string":"Laboratoire d'Informatique Fondamentale, Facult\u00e9 des Sciences de Luminy, Universit\u00e9 d'Aix-Marseille, F-13288, Marseille Cedex 9, France","institution_ids":["https://openalex.org/I4210115196","https://openalex.org/I21491767"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085712844"],"corresponding_institution_ids":["https://openalex.org/I21491767","https://openalex.org/I4210115196"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.8882,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83814103,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"16","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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/T11383","display_name":"Advanced Antenna and Metasurface Technologies","score":0.9828000068664551,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12698","display_name":"3D Modeling in Geospatial Applications","score":0.9800999760627747,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/unit-disk-graph","display_name":"Unit disk graph","score":0.9074373841285706},{"id":"https://openalex.org/keywords/spanner","display_name":"Spanner","score":0.8595981597900391},{"id":"https://openalex.org/keywords/planarity-testing","display_name":"Planarity testing","score":0.8588309288024902},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.640245795249939},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6262192726135254},{"id":"https://openalex.org/keywords/unit-disk","display_name":"Unit disk","score":0.5659309029579163},{"id":"https://openalex.org/keywords/book-embedding","display_name":"Book embedding","score":0.5451145172119141},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5427078008651733},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5036470293998718},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.472508043050766},{"id":"https://openalex.org/keywords/hop","display_name":"Hop (telecommunications)","score":0.4714711010456085},{"id":"https://openalex.org/keywords/planar-straight-line-graph","display_name":"Planar straight-line graph","score":0.44305604696273804},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4157506227493286},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3830322027206421},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.2841663360595703},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.2597346901893616},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.2594373822212219},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.22820889949798584},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.17808663845062256},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.14593654870986938},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1298605501651764}],"concepts":[{"id":"https://openalex.org/C130184317","wikidata":"https://www.wikidata.org/wiki/Q3115549","display_name":"Unit disk graph","level":4,"score":0.9074373841285706},{"id":"https://openalex.org/C2779585601","wikidata":"https://www.wikidata.org/wiki/Q4049850","display_name":"Spanner","level":2,"score":0.8595981597900391},{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.8588309288024902},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.640245795249939},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6262192726135254},{"id":"https://openalex.org/C47177299","wikidata":"https://www.wikidata.org/wiki/Q2390323","display_name":"Unit disk","level":2,"score":0.5659309029579163},{"id":"https://openalex.org/C180222743","wikidata":"https://www.wikidata.org/wiki/Q4942980","display_name":"Book embedding","level":5,"score":0.5451145172119141},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5427078008651733},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5036470293998718},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.472508043050766},{"id":"https://openalex.org/C25906391","wikidata":"https://www.wikidata.org/wiki/Q1432381","display_name":"Hop (telecommunications)","level":2,"score":0.4714711010456085},{"id":"https://openalex.org/C131930043","wikidata":"https://www.wikidata.org/wiki/Q7200964","display_name":"Planar straight-line graph","level":5,"score":0.44305604696273804},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4157506227493286},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3830322027206421},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.2841663360595703},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.2597346901893616},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.2594373822212219},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.22820889949798584},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.17808663845062256},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.14593654870986938},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1298605501651764},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-16988-5_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-16988-5_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-00949238v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00949238","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"6th International Workshop on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Movile Entities, Jul 2010, Bordeaux, France. pp 16-30, &#x27E8;10.1007/978-3-642-16988-5_2&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:HAL:hal-00949316v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00949316","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"26th European Workshop on Computational Geometry, 2010, Germany","raw_type":"Conference papers"},{"id":"pmh:oai:HAL:hal-01195597v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01195597","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"6th International Workshop on Algorithms for Sensor Systems, Wireless Ad Hoc Networks, and Autonomous Mobile Entities, {ALGOSENSORS} 2010, Jul 2010, Bordeaux, France. pp.16--30, &#x27E8;10.1007/978-3-642-16988-5_2&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1494596592","https://openalex.org/W1505970908","https://openalex.org/W1552092932","https://openalex.org/W1555471913","https://openalex.org/W1574082713","https://openalex.org/W1587375058","https://openalex.org/W1983502795","https://openalex.org/W2039111454","https://openalex.org/W2048902080","https://openalex.org/W2073271991","https://openalex.org/W2156271404","https://openalex.org/W2161843738","https://openalex.org/W2163167340","https://openalex.org/W4232452653","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2373079339","https://openalex.org/W1766136887","https://openalex.org/W4384811834","https://openalex.org/W4297837089","https://openalex.org/W2951726931","https://openalex.org/W2951591948","https://openalex.org/W4287691299","https://openalex.org/W2021281967","https://openalex.org/W4299313038","https://openalex.org/W2151422426"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
