On the Square Free Detour Number of Windmill Graphs
DOI:
https://doi.org/10.26713/cma.v14i5.2194Keywords:
Square free detour number, Connected square free detour number, Vertex square free detour numberAbstract
The set \(S\) of vertices is said to be a square free detour set of \(G^*=( V^*,\,E^* )\) if \(I_{D_{_{ \square f}} } [S]=V^*\). The square free detour number of \(G^*\) is the cardinality of the minimum proper square free detour subset of \(V^*\). The square free detour number \(dn_{\square f} (G^*)\), the connected square free detour number \(cdn_{_{\square f} }(G^*)\) and the vertex square free detour number \(dn_{_{\square f_u} }(G^*)\) of \(G^*\) are defined. Also, we determine the square free detour number, the connected square free detour number and the vertex-square free detour number of windmill graphs.
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