Topologies Induced by Neighborhoods of a Graph Under Some Binary Operations
| Autor: | Sergio R. Canoy, Caen Grace Sarona Nianga, Anabel Enriquez Gamorez |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Numerical Analysis Algebra and Number Theory Applied Mathematics Open set 010103 numerical & computational mathematics 02 engineering and technology Network topology 01 natural sciences Graph Theoretical Computer Science Combinatorics Base (group theory) Tensor product Binary operation Product (mathematics) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Geometry and Topology 0101 mathematics Symmetric difference Mathematics |
| Zdroj: | European Journal of Pure and Applied Mathematics. 12:749-755 |
| ISSN: | 1307-5543 |
| DOI: | 10.29020/nybg.ejpam.v12i3.3464 |
| Popis: | Let G = (V (G), E(G)) be any undirected graph. Then G induces a topology τ_G on V (G) with base consisting of sets of the form F_G[A] = V (G)\N_G[A], where N_G[A] = A ∪ { x : xa ∈ E(G) for some a ∈ A } and A ranges over all subsets of V (G). In this paper, we describe the topologies induced by the corona, edge corona, disjunction, symmetric difference, Tensor product, and the strong product of two graphs by determining the subbasic open sets. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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