{"id":"https://openalex.org/W2147353440","doi":"https://doi.org/10.1007/s00373-016-1695-x","title":"Edge Roman Domination on Graphs","display_name":"Edge Roman Domination on Graphs","publication_year":2016,"publication_date":"2016-03-30","ids":{"openalex":"https://openalex.org/W2147353440","doi":"https://doi.org/10.1007/s00373-016-1695-x","mag":"2147353440"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-016-1695-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-016-1695-x","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1405.5622","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002508116","display_name":"Gerard J. Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]},{"id":"https://openalex.org/I4210119858","display_name":"National Center for Theoretical Sciences","ror":"https://ror.org/02mfp0b67","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210119858"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Gerard J. Chang","raw_affiliation_strings":["Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan","Math Division, National Center for Theoretical Sciences, Taipei, 10617, Taiwan","Department of Mathematics, National Taiwan University, Taipei, Taiwan 10617 and Math Division, National Center for Theoretical Sciences, Taipei, Taiwan 10617#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Math Division, National Center for Theoretical Sciences, Taipei, 10617, Taiwan","institution_ids":["https://openalex.org/I4210119858"]},{"raw_affiliation_string":"Department of Mathematics, National Taiwan University, Taipei, Taiwan 10617 and Math Division, National Center for Theoretical Sciences, Taipei, Taiwan 10617#TAB#","institution_ids":["https://openalex.org/I16733864","https://openalex.org/I4210119858"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032988244","display_name":"Shenghua Chen","orcid":"https://orcid.org/0000-0002-0898-5292"},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Sheng-Hua Chen","raw_affiliation_strings":["Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan","Department of Mathematics, National Taiwan University, Taipei, Taiwan 10617#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National Taiwan University, Taipei, 10617, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"Department of Mathematics, National Taiwan University, Taipei, Taiwan 10617#TAB#","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084900180","display_name":"Chun\u2010Hung Liu","orcid":"https://orcid.org/0000-0001-8822-9966"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chun-Hung Liu","raw_affiliation_strings":["Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA","Department of Mathematics, Princeton University, Princeton, USA 08544#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Mathematics, Princeton University, Princeton, USA 08544#TAB#","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5084900180"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":2.9348,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91165002,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"32","issue":"5","first_page":"1731","last_page":"1747"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9973999857902527,"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":0.9927999973297119,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.6620272397994995},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.4058667719364166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37254467606544495},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3649901747703552},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3002440333366394},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.17111504077911377}],"concepts":[{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.6620272397994995},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.4058667719364166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37254467606544495},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3649901747703552},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3002440333366394},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.17111504077911377}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00373-016-1695-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-016-1695-x","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"},{"id":"pmh:oai:arXiv.org:1405.5622","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.5622","pdf_url":"https://arxiv.org/pdf/1405.5622","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1405.5622","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1405.5622","pdf_url":"https://arxiv.org/pdf/1405.5622","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4924312801","display_name":null,"funder_award_id":"NSC101-2115-M-002-005-MY3","funder_id":"https://openalex.org/F4320309618","funder_display_name":"Ministry of Science and Technology"}],"funders":[{"id":"https://openalex.org/F4320309618","display_name":"Ministry of Science and Technology","ror":"https://ror.org/02b207r52"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W174566906","https://openalex.org/W2019578481","https://openalex.org/W2028333952","https://openalex.org/W2029578153","https://openalex.org/W2036644223","https://openalex.org/W2067848446","https://openalex.org/W2140596247","https://openalex.org/W2147601521"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}