Some results of Morse functions in digital images
Articles > Article ยท 2020
Authors: Ismet Karaca, Tane Vergili, Gokhan Temizel, Hatice Sevde Denizalti
Malaya Journal of Matematik, International, 2020, vol 8, pp 343-349
Summary
In many years authors have adapted some notions of topology and combinatorial topology to the digital topology. In this paper we apply some definition of discrete Morse theory to the digital topology. We define a new definition of adjacency relation to show that digital subcomplexes are digitally homotopy equivalent. We conclude that if there is no digitally critical simplex in the digital interval \([m, n]_{\mathbb{Z}}\), then the digital subcomplexes \(K(m)\) and \(K(n)\) are digitally homotopy equivalent.