Non-Isolated Resolving Sets of Corona Graphs with Some Regular Graphs
نویسندگان
چکیده
Let G be a connected, simple, and finite graph. For an ordered set W={w1,w2,…,wk}⊆V(G) vertex v of G, the representation with respect to W is k-vector r(v|W)=(dG(v,w1),…,dG(v,wk)). The called resolving if every two vertices has different representation. A containing minimum number basis H. elements in metric dimension denoted by dim(G). In this paper, we considered where induced subgraph does not contain isolated vertex. Such non-isolated set. cardinality nr-set G. nr(G). H corona product graph H, G⊙H, obtained taking one copy |V(G)| copies namely H1,H2,…,H|V(G)|, such that i-th adjacent Hi. If degree k, then k-regular determined nr(G⊙H) arbitrary connected order n at least t k∈{t−2,t−3}.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10060962