Domination in 4-regular Knödel graphs

A subset D of vertices of a graph G is a dominating set if for each u ∈ V(G) ∖ D, u is adjacent to some vertex v ∈ D. The domination number, γ(G) of G, is the minimum cardinality of a dominating set of G. For an even integer n ≥ 2 and 1 ≤ Δ ≤ ⌊log2n⌋, a Knödel graph WΔ, n is a Δ-regular bipartite gr...

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Bibliographic Details
Main Authors: Mojdeh Doost Ali, Musawi S.R., Nazari E.
Format: Article
Language:English
Published: De Gruyter 2018-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0072