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Yapay Zeka Hızlı Bakış & Çıkarımlar
AI Insight⚡ TL;DR(1 Cümlede Hızlı Çıkarım)
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.
📌 3 Maddede Bu Makale
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Amaç & Hipotez: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 adjacent to $u$ and $v$.
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Temel Bulgular & Veri: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 $S$.
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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Double edge-vertex dominating set · Double vertex-edge dominating set · Edge-vertex dominating set
Abstract
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 adjacent to $u$ 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.
Anahtar kelimeler
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Bu Makaleye Atıf Yap
AYLI, B., KILIC, E. (2021). Double Edge-Vertex Domination on Middle and Splitting Graphs of Path and Cycle. Fundamental Journal of Mathematics and Applications, Cilt: 4 Sayı: 4, 221–231. https://ajindex.com/articles/905681