Double Edge-Vertex Domination on Middle and Splitting Graphs of Path and Cycle
Küçük Resim Yok
Tarih
2021
Yazarlar
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