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- W2991610052 abstract "Abstract Given a simple graph with the vertex set X , we discuss a closure operator on X induced by a set of paths with identical lengths in the graph. We introduce a certain set of paths of the same length in the 2-adjacency graph on the digital line ℤ and consider the closure operators on ℤ m ( m a positive integer) that are induced by a special product of m copies of the introduced set of paths. We focus on the case m = 3 and show that the closure operator considered provides the digital space ℤ 3 with a connectedness that may be used for defining digital surfaces satisfying a Jordan surface theorem." @default.
- W2991610052 created "2019-12-05" @default.
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- W2991610052 date "2019-11-19" @default.
- W2991610052 modified "2023-09-23" @default.
- W2991610052 title "Path-induced closure operators on graphs for defining digital Jordan surfaces" @default.
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- W2991610052 doi "https://doi.org/10.1515/math-2019-0121" @default.
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