{"id":"https://openalex.org/W1538418774","doi":"https://doi.org/10.1007/978-3-319-28678-5_9","title":"Rainbow Domination and Related Problems on Some Classes of Perfect Graphs","display_name":"Rainbow Domination and Related Problems on Some Classes of Perfect Graphs","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W1538418774","doi":"https://doi.org/10.1007/978-3-319-28678-5_9","mag":"1538418774"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-28678-5_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-28678-5_9","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":true,"oa_status":"gold","oa_url":"https://inria.hal.science/hal-01446271","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013112058","display_name":"Wing-Kai Hon","orcid":"https://orcid.org/0000-0002-0570-2904"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Wing-Kai Hon","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","National Tsing Hua University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"National Tsing Hua University","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049113552","display_name":"Ton Kloks","orcid":"https://orcid.org/0000-0001-8825-3464"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Ton Kloks","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","National Tsing Hua University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"National Tsing Hua University","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056991051","display_name":"Hsiang-Hsuan Liu","orcid":"https://orcid.org/0000-0002-0194-9360"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]},{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["GB","TW"],"is_corresponding":false,"raw_author_name":"Hsiang-Hsuan Liu","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","University of Liverpool, Liverpool, England","National Tsing Hua University","University of Liverpool"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"University of Liverpool, Liverpool, England","institution_ids":["https://openalex.org/I146655781"]},{"raw_affiliation_string":"National Tsing Hua University","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"University of Liverpool","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110802081","display_name":"Hung Lung Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I43566213","display_name":"National Taipei University of Business","ror":"https://ror.org/029hrv109","country_code":"TW","type":"education","lineage":["https://openalex.org/I43566213"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Hung-Lung Wang","raw_affiliation_strings":["Institute of Information and Decision Sciences, National Taipei University of Business, Taipei, Taiwan","National Taipei University of Business"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information and Decision Sciences, National Taipei University of Business, Taipei, Taiwan","institution_ids":["https://openalex.org/I43566213"]},{"raw_affiliation_string":"National Taipei University of Business","institution_ids":["https://openalex.org/I43566213"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.9981,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.70236088,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"121","last_page":"134"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.988099992275238,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9860000014305115,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rainbow","display_name":"Rainbow","score":0.9643650054931641},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7762426733970642},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6719849109649658},{"id":"https://openalex.org/keywords/domination-analysis","display_name":"Domination analysis","score":0.5788115859031677},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5334475636482239},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4404730200767517},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4238035976886749},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4202408194541931},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2783657908439636},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.058199405670166016},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0449424684047699}],"concepts":[{"id":"https://openalex.org/C2776558979","wikidata":"https://www.wikidata.org/wiki/Q1052","display_name":"Rainbow","level":2,"score":0.9643650054931641},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7762426733970642},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6719849109649658},{"id":"https://openalex.org/C83833204","wikidata":"https://www.wikidata.org/wiki/Q5290322","display_name":"Domination analysis","level":4,"score":0.5788115859031677},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5334475636482239},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4404730200767517},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4238035976886749},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4202408194541931},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2783657908439636},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.058199405670166016},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0449424684047699},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-28678-5_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-28678-5_9","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-01446271v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01446271","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"1st International Conference on Theoretical Computer Science (TTCS), Aug 2015, Tehran, Iran. pp.121-134, &#x27E8;10.1007/978-3-319-28678-5_9&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01446271v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01446271","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"1st International Conference on Theoretical Computer Science (TTCS), Aug 2015, Tehran, Iran. pp.121-134, &#x27E8;10.1007/978-3-319-28678-5_9&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W30044312","https://openalex.org/W940747629","https://openalex.org/W1557513888","https://openalex.org/W1563892973","https://openalex.org/W1967091137","https://openalex.org/W1984394682","https://openalex.org/W2000138132","https://openalex.org/W2000763343","https://openalex.org/W2015906942","https://openalex.org/W2018464213","https://openalex.org/W2024529187","https://openalex.org/W2028178319","https://openalex.org/W2028775537","https://openalex.org/W2050228489","https://openalex.org/W2058462653","https://openalex.org/W2062028450","https://openalex.org/W2063410295","https://openalex.org/W2070684734","https://openalex.org/W2075497674","https://openalex.org/W2081358441","https://openalex.org/W2084056055","https://openalex.org/W2087405099","https://openalex.org/W2089241552","https://openalex.org/W2115147103","https://openalex.org/W2171760878","https://openalex.org/W2913012475","https://openalex.org/W2949124780","https://openalex.org/W2949298379"],"related_works":["https://openalex.org/W2997432480","https://openalex.org/W2122516110","https://openalex.org/W2963404550","https://openalex.org/W2024249013","https://openalex.org/W2794522194","https://openalex.org/W3112454003","https://openalex.org/W30750922","https://openalex.org/W2314466759","https://openalex.org/W4378234127","https://openalex.org/W2898649000"],"abstract_inverted_index":{"Let":[0],"$$k":[1],"\\in":[2,55],"\\mathbb":[3],"{N}$$":[4],"and":[5],"let":[6],"G":[7],"be":[8],"a":[9,18],"graph.":[10],"A":[11],"function":[12,20],"$$f:":[13],"V(G)":[14],"\\rightarrow":[15],"2^{[k]}$$":[16],"is":[17,49],"rainbow":[19,44,60,65],"if,":[21],"for":[22,68],"every":[23],"vertex":[24],"x":[25],"with":[26],"$$f(x)=\\varnothing":[27],"$$":[28],",":[29,32],"$$f(N(x))":[30],"=[k]$$":[31],"where":[33],"[k]":[34],"denotes":[35],"the":[36,50,64],"integers":[37],"ranging":[38],"from":[39],"1":[40],"to":[41],"k.":[42],"The":[43],"domination":[45,66],"number":[46],"$$\\gamma":[47],"_{kr}(G)$$":[48],"minimum":[51],"of":[52,71],"$$\\sum":[53],"_{x":[54],"V(G)}":[56],"|f(x)|$$":[57],"over":[58],"all":[59],"functions.":[61],"We":[62],"investigate":[63],"problem":[67],"some":[69],"classes":[70],"perfect":[72],"graphs.":[73]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}
