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Compatible adjacency relations for digital products
- Source :
- Filomat. 31:2787-2803
- Publication Year :
- 2017
- Publisher :
- National Library of Serbia, 2017.
-
Abstract
- The present paper studies several types of compatible adjacency relations for digital products such as a $C$-compatible adjacency (or the $L_C$-property in \cite{H13}), an $S$-compatible adjacency in \cite{H19} (or the $L_S$-property in \cite{H13}), which can contribute to the study of product properties of digital spaces (or digital images). Furthermore, to study an automorphism group of a Cartesian product of two digital coverings which do not satisfy a radius $2$ local isomorphism, which remains open, the paper uses some properties of an ultra regular covering in \cite{H16}. By using this approach, we can substantially classify digital products. In particular, using a $C$-compatible adjacency (or the $L_C$-property), we address a product problem of a digital isomorphism (see Theorems 3.6 and 4.1).
Details
- ISSN :
- 24060933 and 03545180
- Volume :
- 31
- Database :
- OpenAIRE
- Journal :
- Filomat
- Accession number :
- edsair.doi...........18b9b33b20e4655b9b3d4dc62da95c83