METRIC DIMENSION OF GRAPH CIRCULANT Cn(1,2,3,4)
Let G = (V,E) be a graph with non empty vertex set V (G) and edge set E(G). The distance between two distinct vertices u and v of G denoted by d(u,v) is the length of the shortest path between them in G. For each u ∈ V (G) the representation of u with respect to W is r(u|W) = (d(u,w1),d(u,...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/22331 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Let G = (V,E) be a graph with non empty vertex set V (G) and edge set E(G). The distance between two distinct vertices u and v of G denoted by d(u,v) is the length of the shortest path between them in G. For each u ∈ V (G) the representation of u with respect to W is r(u|W) = (d(u,w1),d(u,w2),...,d(u,wk)). The set W called resolving set of G r(u|W) 6= r(v|W), if for every distinct vertices u,v ∈ V (G). The metric dimension β(G) of G is the minimum cardinality of resolving set for G. In this thesis, we determine the metric dimension of circulant graph Cn(1,2,3,4) for n ≥ 10. <br />
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