Comment on “Analogies Between the Geodetic Number and the Steiner Number of Some Classes of Graphs”

Abstract

It is proved by counter example that one of the theorems presented in "Analogies Between the Geodetic Number and the Steiner Number of Some Classes of Graphs” by Ismael G. Yero, Juan A. Rodriguez-Velazquez [FILOMAT 29:8 (2015), 1781-1788] does not always hold true. It is also proved by counter example that the necessary condition given in Theorem 3.7 [If diam(H) = 2, then s ( K ₁ ©. H ) = H ] mentioned in the above cited paper does not hold true.