{"id":"https://openalex.org/W2128474236","doi":"https://doi.org/10.1007/s10878-006-7140-y","title":"On optimal placement of relay nodes for reliable connectivity in wireless sensor networks","display_name":"On optimal placement of relay nodes for reliable connectivity in wireless sensor networks","publication_year":2006,"publication_date":"2006-03-01","ids":{"openalex":"https://openalex.org/W2128474236","doi":"https://doi.org/10.1007/s10878-006-7140-y","mag":"2128474236"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-006-7140-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-006-7140-y","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","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/A5100368941","display_name":"Hai Liu","orcid":"https://orcid.org/0000-0002-5556-1150"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Hai Liu","raw_affiliation_strings":["Dept of Computer Science, City University of Hong Kong, Hong Kong","Department of Computer Science, City University of Hong Kong, Hong Kong,#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept of Computer Science, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong,#TAB#","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036031118","display_name":"Peng\u2010Jun Wan","orcid":"https://orcid.org/0000-0001-7926-5711"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]},{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["HK","US"],"is_corresponding":false,"raw_author_name":"Pengjun Wan","raw_affiliation_strings":["Dept of Computer Science, City University of Hong Kong, Hong Kong","Illinois Institute of Technology, Chicago, IL, USA","Illinois Institute of Technology, Chicago, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept of Computer Science, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Illinois Institute of Technology, Chicago, IL, USA","institution_ids":["https://openalex.org/I180949307"]},{"raw_affiliation_string":"Illinois Institute of Technology, Chicago, USA","institution_ids":["https://openalex.org/I180949307"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013643572","display_name":"Xiaohua Jia","orcid":"https://orcid.org/0000-0001-8702-8302"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Xiaohua Jia","raw_affiliation_strings":["Dept of Computer Science, City University of Hong Kong, Hong Kong","Department of Computer Science, City University of Hong Kong, Hong Kong,#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept of Computer Science, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Computer Science, City University of Hong Kong, Hong Kong,#TAB#","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100368941"],"corresponding_institution_ids":["https://openalex.org/I168719708"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.4537,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.93295699,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"2","first_page":"249","last_page":"260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10080","display_name":"Energy Efficient Wireless Sensor Networks","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10246","display_name":"Mobile Ad Hoc Networks","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/relay","display_name":"Relay","score":0.8758819103240967},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.810555100440979},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.6181043982505798},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6142624616622925},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.5799757242202759},{"id":"https://openalex.org/keywords/key-distribution-in-wireless-sensor-networks","display_name":"Key distribution in wireless sensor networks","score":0.5713595747947693},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4789293706417084},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4668358564376831},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4599456191062927},{"id":"https://openalex.org/keywords/relay-channel","display_name":"Relay channel","score":0.4214290380477905},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.40421804785728455},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40397897362709045},{"id":"https://openalex.org/keywords/wireless-network","display_name":"Wireless network","score":0.37631845474243164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2661799192428589},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21847668290138245},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1525924801826477},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09944924712181091},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08339491486549377}],"concepts":[{"id":"https://openalex.org/C2778156585","wikidata":"https://www.wikidata.org/wiki/Q174053","display_name":"Relay","level":3,"score":0.8758819103240967},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.810555100440979},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.6181043982505798},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6142624616622925},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.5799757242202759},{"id":"https://openalex.org/C41971633","wikidata":"https://www.wikidata.org/wiki/Q6398155","display_name":"Key distribution in wireless sensor networks","level":4,"score":0.5713595747947693},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4789293706417084},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4668358564376831},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4599456191062927},{"id":"https://openalex.org/C46257984","wikidata":"https://www.wikidata.org/wiki/Q7310895","display_name":"Relay channel","level":4,"score":0.4214290380477905},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.40421804785728455},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40397897362709045},{"id":"https://openalex.org/C108037233","wikidata":"https://www.wikidata.org/wiki/Q11375","display_name":"Wireless network","level":3,"score":0.37631845474243164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2661799192428589},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21847668290138245},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1525924801826477},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09944924712181091},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08339491486549377},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10878-006-7140-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-006-7140-y","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.83.5387","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.83.5387","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.site.uottawa.ca/~hailiu/publications/JCombOptim06.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:jcomop:v:11:y:2006:i:2:d:10.1007_s10878-006-7140-y","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-006-7140-y","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5799999833106995,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1503036335","https://openalex.org/W2038464572","https://openalex.org/W2089558473","https://openalex.org/W2099084375","https://openalex.org/W2100961486","https://openalex.org/W2109673442","https://openalex.org/W2130403046","https://openalex.org/W2146453174","https://openalex.org/W2149259182","https://openalex.org/W2164802361","https://openalex.org/W4254976710"],"related_works":["https://openalex.org/W2099376255","https://openalex.org/W2608897767","https://openalex.org/W2963768675","https://openalex.org/W2153829573","https://openalex.org/W2004047158","https://openalex.org/W2119153672","https://openalex.org/W2993015344","https://openalex.org/W1559320887","https://openalex.org/W2374704553","https://openalex.org/W2082611414"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}