New Topological Structure related from Digraph

Author:

Neamah Hussein A.1,Al’Dzhabri Khalid Sh.1

Affiliation:

1. Department of Mathematics, University of Al-Qadisiyah, College of Education, Al Diwaniyah, Iraq

Abstract

This work introduces a novel topological constraint called the intopological digraph space imposed by a subbasis ... contains one vertice such that the edge ẹ is indegree of it and investigates some properties of this structure. Our objective is to provide a crucial first step in the study of some of the characteristics of digraphs by utilizing the appropriate topology.

Publisher

Earthline Publishers

Subject

General Medicine

Reference13 articles.

1. J.W. Evans, F. Harary and M.S. Lynn, On the computer enumeration of finite topologies, Communications of the ACM 10(5) (1967), 295-297. https://doi.org/10.1145/363282.363311

2. T.N. Bhargava and T.J. Ahlborn, On topological spaces associated with digraphs, Acta Mathematica Academiae Scientiarum Hungaricae 19 (1968), 47-52. https://doi.org/10.1007/BF01894678

3. T. K. Majumdar, A uniform topological structure on a graph and its properties, Ph.D thesis, India, 1983

4. A Subramaninan, Studies in graph theory - topological graphs and related topics, Ph.D. thesis, Manonmaniam Sundaranar University, India, 2001

5. S. P. Subbaih, A study of graph theory: topology, steiner domination and semigraph concepts, Ph.D. thesis, Madurai Kamaraj University, India, 2007.

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