The Numerical Invariants concerning the Total Domination for Generalized Petersen Graphs
Joint Authors
Chu, Yu-Ming
Zhao, Taiyin
Ali, Gohar
Hameed, Nabila
Inayat Ali Shah, Syed
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-24
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A subset S of VG is called a total dominating set of a graph G if every vertex in VG is adjacent to a vertex in S.
The total domination number of a graph G denoted by γtG is the minimum cardinality of a total dominating set in G.
The maximum order of a partition of VG into total dominating sets of G is called the total domatic number of G and is denoted by dtG.
Domination in graphs has applications to several fields.
Domination arises in facility location problems, where the number of facilities (e.g., hospitals and fire stations) is fixed, and one attempts to minimize the distance that a person needs to travel to get to the closest facility.
In this paper, the numerical invariants concerning the total domination are studied for generalized Petersen graphs.
American Psychological Association (APA)
Zhao, Taiyin& Ali, Gohar& Hameed, Nabila& Inayat Ali Shah, Syed& Chu, Yu-Ming. 2020. The Numerical Invariants concerning the Total Domination for Generalized Petersen Graphs. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1188080
Modern Language Association (MLA)
Zhao, Taiyin…[et al.]. The Numerical Invariants concerning the Total Domination for Generalized Petersen Graphs. Journal of Mathematics No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1188080
American Medical Association (AMA)
Zhao, Taiyin& Ali, Gohar& Hameed, Nabila& Inayat Ali Shah, Syed& Chu, Yu-Ming. The Numerical Invariants concerning the Total Domination for Generalized Petersen Graphs. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1188080
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188080