Computing the metric dimension of truncated wheels

• Main Authors: Garces, Ian June L, Rosario, Jose B
• Format: text
• Published: Archīum Ateneo 2015
• Subjects: resolving set; metric dimension; truncated wheel; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/50; https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1049&context=mathematics-faculty-pubs
• Institution: Ateneo De Manila University

For an ordered subset W = {w1, w2, w3, . . . , wk} of vertices in a connected graph G and a vertex v of G, the metric representation of v with respect to W is the k-vector r(v|W) = (d(v, w1), d(v, w2), d(v, w3), . . . , d(v, wk)). The set W is called a resolving set of G if r(u|W) = r(v|W) implies u...