Double Edge-Vertex Domination on Middle and Splitting Graphs of Path and Cycle

Küçük Resim Yok

Tarih

2021

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

An edge $e=uv$ of graph $G=(V,E)$ is said to be edge-vertex dominate vertices $u$ and $v$, as well as all vertices adjacentto $u$ and $v$. A set $S subseteq E $ is a double edge-vertex dominating set if every vertex of $V$ is edge-vertex dominated by at least two edges of $S$. The minimum cardinality of a double edge-vertex dominating set of $G$ is the double edge-vertex domination number and is denoted by $gamma_{dev}(G)$. In this paper, we present results for middle graphs of path and cycle and some splitting graphs of path and cycle on double edge-vertex domination numbers.

Açıklama

Anahtar Kelimeler

Vertex-edge dominating set, Double vertex-edge dominating set, Double edge-vertex dominating set, Edge-vertex dominating set

Kaynak

Fundamental journal of mathematics and applications (Online)

WoS Q Değeri

Scopus Q Değeri

Cilt

4

Sayı

4

Künye