Kernels in Mycielskian of a Digraph

Authors

  • Lakshmi R Dept. of Mathematics, Dharumapuram Gnanambigai Government Arts College for Women, Mayiladuthurai 609 001, India
  • Vidhyapriya S Dept. of Mathematics, Dharumapuram Gnanambigai Government Arts College for Women, Mayiladuthurai 609 001, India

DOI:

https://doi.org/10.26438/ijcse/v7i1.560562

Keywords:

Kernel, Mycielskian of a digraph

Abstract

A kernel of a digraph is an independent set of vertices of such that for every vertex there exists an arc from to a vertex in The Mycielskian of a digraph is the digraph with vertex set where and the arc set In this paper, we have proved that, for any digraph D, the Mycielskian of contains a kernel.

References

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Published

2019-01-31
CITATION
DOI: 10.26438/ijcse/v7i1.560562
Published: 2019-01-31

How to Cite

[1]
R. Lakshmi and S. Vidhyapriya, “Kernels in Mycielskian of a Digraph”, Int. J. Comp. Sci. Eng., vol. 7, no. 1, pp. 560–562, Jan. 2019.