Hamiltonicities of Double Domination Critical and Stable Claw-Free Graphs

A graph G with the double domination number γ×2(G) = k is said to be k- γ×2-critical if γ×2 (G + uv) < k for any uv ∉ E(G). On the other hand, a graph G with γ×2 (G) = k is said to be k-γ×2+$k - \gamma _{ \times 2}^ + $-stable if γ×2 (G + uv) = k for any uv ∉ E(G) and is said to be k-γ×2-$k - \ga...

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Bibliographic Details
Main Author: Kaemawichanurat Pawaton
Format: Article
Language:English
Published: Sciendo 2019-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2148