Some new results on the connected sum of certain digital surfaces

Ismet Cinar 1 * and Ismet KARACA 2

doi:10.26637/MJM0702/0027

Some new results on the connected sum of certain digital surfaces

Authors :

Ismet Cinar ^{1 *} and Ismet KARACA ²

Author Address :

^1,2 Department of Mathematics, Ege University, Bornova, Izmir, 35100, Turkey.

*Corresponding author.

Abstract :

In this paper, we construct some new digital surfaces from the topological sum of two digital surfaces. Also, we compute the digital simplicial homology groups of these digital surfaces. We calculate the Euler characteristics of certain digital connected surfaces. Moreover, we obtain some results of Euler characteristics of certain minimal simple closed surfaces.

Keywords :

Digital surface, simplicial homology groups, connected sum, Euler characteristics.

DOI :

10.26637/MJM0702/0027

Article Info :

Received : March 01, 2019; Accepted : May 17, 2019.