The Clique Fractal of Circulant Graphs

Authors

  • Sangeeta Raghu Research Scholar, Department of Mathematics, Bharathiar University, Coimbatore.
  • G. Jayalalitha Associate Professor, Department of Mathematics, R.V.S. College of Engineering and Technology, Dindigul 625002.

Keywords:

Circulant Graph, Fractal, Lexicographic Product, Clique Number, Clique Polynomial

Abstract

In this paper, we explore the clique polynomial of Circulant graphs. The lexicographic product of a Circulant graph of order n with S as the generating set is being computed (k times) and the closure of the union of the roots of reduced clique polynomial of powers is plotted and the graph approaches a fractal like object, the Julia set. We also try to explore the fractals of the clique polynomial of trees.

References

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Published

2017-12-20