Revisiting domination, hop domination, and global hop domination in graphs
| dc.citation.firstpage | 1415 | |
| dc.citation.issue | 4 | |
| dc.citation.journaltitle | European Journal of Pure and Applied Mathematics | |
| dc.citation.lastpage | 1428 | |
| dc.citation.volume | 14 | |
| dc.contributor.author | Salasalan, Gemma | |
| dc.contributor.author | Canoy, Sergio Jr. R. | |
| dc.date.accessioned | 2024-07-17T02:29:26Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | A set S ⊆ V (G) is a hop dominating set of G if for each v ∈ V (G) \ S, there exists w ∈ S such that dG(v, w) = 2. It is a global hop dominating set of G if it is a hop dominating set of both G and the complement G of G. The minimum cardinality of a hop dominating (global hop dominating) set of G, denoted by γh(G) (resp. γgh(G)), is called the hop domination (resp. global hop domination) number of G. In this paper, we give some realization results involving domination, hop domination, and global hop domination parameters. Also, we give a rectification of a result found in a recent paper of the authors and use this to prove some results in this paper. | |
| dc.description.sponsorship | The authors would like to thank the referees for reading the initial manuscript and the invaluable comments and suggestion they have given. Also, the authors are grateful to the Department of Science and Technology - Accelerated Science and Technology and Human Resource Development Program (DOST-ASTHRDP), Philippines, and MSU-Iligan Institute of Technology for funding this research. | |
| dc.identifier.citation | Salasalan, G., & Canoy, S. G., Jr. (2021). Revisiting domination, hop domination, and global hop domination in graphs. European Journal of Pure and Applied Mathematics, 14(4), 1415-1428. https://doi.org/10.29020/nybg.ejpam.v14i4.4144 | |
| dc.identifier.doi | 10.29020/nybg.ejpam.v14i4.4144 | |
| dc.identifier.issn | 1307-5543 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14578/26 | |
| dc.language.iso | en | |
| dc.publisher | New York Business Global | |
| dc.relation.uri | https://ejpam.com/index.php/ejpam/article/view/4144/1090 | |
| dc.subject.lcsh | Graph theory | |
| dc.subject.lcsh | Domination (Graph theory) | |
| dc.subject.lcsh | Graph algorithms | |
| dc.subject.lcsh | Graphs | |
| dc.title | Revisiting domination, hop domination, and global hop domination in graphs | |
| dc.type | Article | |
| local.subject | Domination | |
| local.subject | Hop domination | |
| local.subject | Global hop domination | |
| local.subject | Complementary prism | |
| local.subject | Shadow graph | |
| local.subject.sdg | SDG 9 - Industry, innovation and infrastructure |