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Topologies associated with Disemigraphs

C.V.R. Harinarayanan|S.P. Subbiah,|C.Y. Ponnappan|R. Sundareswaran|V. Swaminathan
장전수학회 (Jangjeon Mathematical Society)|2011.01|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제14권 제1호|pp. 15-30|DOI 10.17777/pjms.2011.14.1.003

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초록

In this paper, an attempt is made to associate a topology on the vertex set of a directed semigraph (disemigraph) in such a way that there exists a one to one correspondence between the set of all topologies on a set V having the property of completely additive closure and the set of all equivalence classes of directed semigraphs de¯ned on V .

Abstract

In this paper, an attempt is made to associate a topology on the vertex set of a directed semigraph (disemigraph) in such a way that there exists a one to one correspondence between the set of all topologies on a set V having the property of completely additive closure and the set of all equivalence classes of directed semigraphs de¯ned on V .

참고문헌 (6)

  1. T. N. Bhargava, "On topological spaces associated with digraphs", pp.47~52 (1968), Acta Math. Acad. Sciev
  2. Topologies on Directed graphs, Technical Report, "Robert N. Lieberman", 1~79, pp.TR-214 (1972)
  3. S.S.Anderson, "The lattice graph of the topology of a transitive directed graph", Math.Scand, 21, pp.105~109 (1967)
  4. E. Sampathkumar, "Transitive digraphs and topologies on a set", Journal of the Karnatak Univ.Science, pp.266~273 (1972)
  5. Semigraphs and their applications, Report on the DST project, "E. Sampathkumar", ~ (1994)
  6. V. Swaminathan, "Study of decomposition of digraphs via topologies", ~

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