Domination number of complements of functigraphs

Subject Areas : Combinatorics, Graph theory

A. Shaminejad ¹ , E. Vatandoost ²

1 - Department of mathematics, Imam Khomeini International University, P. O. Box 3414896818, Qazvin, Iran
2 - Department of mathematics, Imam Khomeini International University, P. O. Box 3414896818, Qazvin, Iran.

Received: 2020-10-29 Accepted : 2021-03-25 Published : 2021-03-01

Keywords:

References:

[1] J. Amjadi, S. Nazari-Moghaddam, S. M. Sheikholeslami, L. Volkmann, Total roman domination number of trees, Australasian. J. Combinatorics. 69 (2) (2017), 271-285.

[2] L. Eroh, R. Gera, C. X. Kang, C. Larson, E. Yi, Domination in functigraphs, Discuss. Math. Graph. Theory. 32 (2) (2012), 299-319.

[3] F. Ramezani, E. D. Rodriguez-Bazan, J. A. Rodriguez-Velazquez, On the roman domination number of generalized Sierpinski graphs, Filomat. 31 (20) (2017), 6515-6528.

[4] E. Vatandoost, F. Ramezani, On the domination and signed domination numbers of zero-divisor graph, Electronic. J. Graph. Theory. Appl. 4 (2) (2016), 148-156.