Topological structure of generalized rough graphs

The main purpose of this paperis to introduce a topological space(D, td), which is induced by reflexive graph and tolerance graph D, such that D may be infinite. Furthermore, we offer some properties of (D, td) such as connectedness, compactness, Lindelöf and separate properties. We also study the c...

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Bibliographic Details
Published in:	Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 34; no. 1; pp. 105 - 115
Main Authors:	Sarmad, Samah, Yusif, Yusif Yaqub
Format:	Journal Article
Language:	English
Published:	بغداد، العراق جامعة بغداد، كلية التربية ابن الهيثم 2021
Subjects:	الرسوم البيانية
Online Access:	Get full text
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Summary:	The main purpose of this paperis to introduce a topological space(D, td), which is induced by reflexive graph and tolerance graph D, such that D may be infinite. Furthermore, we offer some properties of (D, td) such as connectedness, compactness, Lindelöf and separate properties. We also study the concept of approximation spaces and get the sufficient and necessary condition that topological space is approximation spaces.
ISSN:	1609-4042 2521-3407