(Independent) kkk-Rainbow Domination  of a Graph

Zhila MANSOURİ; Doost Ali MOJDEH

doi:https://doi.org/10.47000/tjmcs.691030

Makale detayları

(Independent) kkk-Rainbow Domination of a Graph

Yazarlar:

Zhila MANSOURİ | Doost Ali MOJDEH

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2020 Vol.12 Issue 2, pp.128-135

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000638458

Sıklık:

İki Yıllık

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.691030

Özet:

 

Let G=(V,E)G=(V,E)G=(V,E) be a graph with the  vertex set V=V(G)V=V(G)V=V(G)  and the edge set E=E(G)E=E(G)E=E(G). Let kkk be a positive integer and γrk(G)γrk(G)\gamma_{rk}(G) (γirk(G)γirk(G)\gamma_{i_{rk}}(G)) be kkk-rainbow domination (independent kkk-rainbow domination) number of a graph GGG. In this paper, we study the kkk-rainbow domination and independent kkk-rainbow domination numbers of graphs. We obtain bounds for γrk(G−e)γrk(G−e)\gamma_{rk}(G-e) (γirk(G−e)γirk(G−e)\gamma_{i_{rk}}(G-e)) in terms of γrk(G)γrk(G)\gamma_{rk}(G) (γirk(G)γirk(G)\gamma_{i_{rk}}(G)). Finally, the relation between weak 333-domination and 333-rainbow domination number of  graphs will be investigated.

Makale detayları

(Independent) kkk-Rainbow Domination of a Graph

Yazarlar: Zhila MANSOURİ | Doost Ali MOJDEH

Yayıncı: Matematikçiler Derneği

Ana Başlıklar: Matematik

Dergi: Turkish Journal of Mathematics and Computer Science 2020 Vol.12 Issue 2, pp.128-135

Belge Tipi: Makale

Yayın Tarihi: 12/2020

Belge Dili: İngilizce

Document ID (Org No.): 2000638458

Sıklık: İki Yıllık

eISSN: 2148-1830

DOI: https://doi.org/10.47000/tjmcs.691030

Sayı

Yazarlar:

Zhila MANSOURİ | Doost Ali MOJDEH

Yayıncı:

Matematikçiler Derneği

Ana Başlıklar:

Matematik

Dergi:

Turkish Journal of Mathematics and Computer Science 2020 Vol.12 Issue 2, pp.128-135

Belge Tipi:

Makale

Yayın Tarihi:

12/2020

Belge Dili:

İngilizce

Document ID (Org No.):

2000638458

Sıklık:

İki Yıllık

eISSN:

2148-1830

DOI:

https://doi.org/10.47000/tjmcs.691030