Multiset dimension of kayak paddles graph and cycles with chord

Suppose the set W=₁, s₂,, sₖ \ is a subset of the vertex set $V(G)$. The representation of a vertex v of G with respect to W as follows \[r_m(v|W)=\{d(v,s_1), d(v,s_2),, d(v,s_k)\}\] where d(v,sᵢ) is the distance between the vertex v with the vertices of set W together with their multiplicities. The set W is called the { m-resolving set} of G if every vertices of G have distinct representation with respect to W. If G has an m-resolving set, then an m-resolving set having minimum cardinality is called a multiset basis and its cardinality is called the multiset dimension of G, denoted by $md(G)$. We say that G has an infinite multiset dimension and we write md(G)=∞. In this paper, we determine the multiset dimension of kayak paddles graph and cycles with chord.