Vertex Exponent of Asymmetric Two-coloured Cycle

Authors

  • Aghni Syahmarani Department of Mathematics, Universitas Sumatera Utara, Medan, 20155, Indonesia
  • Saib Suwilo Department of Mathematics, Universitas Sumatera Utara, Medan, 20155, Indonesia

DOI:

https://doi.org/10.32734/jormtt.v2i2.4679

Keywords:

Exponent Digraphs, Primitive, Two-coloured Digraphs, Vertex Exponent

Abstract

This paper is about an asymmetric two-coloured cycle. Let D be an asymmetric two-coloured cycle on n vertices, where n is odd and n >= 3, we show that the exponent of the k-th vertex of D is exactly (n2-1)/4 + ⌊ k/2 ⌋.

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Published

2020-09-30

How to Cite

[1]
A. Syahmarani and S. Suwilo, “Vertex Exponent of Asymmetric Two-coloured Cycle”, J. of Research in Math. Trends and Tech., vol. 2, no. 2, pp. 37-44, Sep. 2020.