### Speaker

Dr
ayesha riasat
(UMT, lahore)

### Description

Let W_{n,k} be the graph of order nk + 1 and size n(k + 1) obtained
from the wheel W_n = K_1+ C_n by subdividing each edge of C_n by k−1
vertices. In [Bull. Math. Soc. Sci. Math. Roumanie 4, 50(2007),
371-376] it was shown that the metric dimension of W_{n,2} denoted by
dim(W_n,2), is equal to ⌊2n/3⌋ for every n ≥ 4.
In this paper it is shown that dim(W_n,k) is equal to: ⌊n/2⌋ for k = 3 and n ≥ 11; ⌈n/2⌉ for odd k ≥ 5 and ⌈2n/3⌉ for even k ≥ 4, provided
n ≥ 9.

### Primary author

Dr
ayesha riasat
(UMT, lahore)

### Co-author

Prof.
ioan tomescu
(university of bucharest)