Changing and Unchanging of the Domination Number of a Graph: Path Addition Numbers
Given a graph G =(V, E) and two its distinct vertices u and v, the (u, v)-Pk-addition graph of G is the graph Gu,v,k−2 obtained from disjoint union of G and a path Pk : x0, x1,...,xk−1, k ≥ 2, by identifying the vertices u and x0, and identifying the vertices v and xk−1.We prove that γ(G) − 1 ≤ γ(Gu...
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| Format: | Article |
| Language: | English |
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Sciendo
2021-05-01
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| Series: | Discussiones Mathematicae Graph Theory |
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| Online Access: | https://doi.org/10.7151/dmgt.2189 |