Some Properties of Cyclotic Graph


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Authors

  • U. M. Prajapati Department of Mathematics, St. Xavier’s college, Ahmedabad, India
  • S. K. Singh Faculty of Engineering, Department of Mathematics, Marwadi University, Gauridad, Rajkot, India

Keywords:

Cyclotic graph, connectedness in cyclotic graph, planarity, regularity and number of edges in cyclotic graph

Abstract

In the present work we have introduced a new graph called Cyclotic graph $G(n,k)$. We have given many examples of Cyclotic graph $G(n,k)$. We have proved some results about connectedness, planarity, regularity and number of edges in Cyclotic graph. We have also proved that $G(n,k)$ is not Eulerian graph and found some results which shows when $G(n,k)$ is bipartite and Hamiltonian.

 

 

Author Biographies

U. M. Prajapati, Department of Mathematics, St. Xavier’s college, Ahmedabad, India

 

 

S. K. Singh, Faculty of Engineering, Department of Mathematics, Marwadi University, Gauridad, Rajkot, India

 

 

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Published

01-06-2016

How to Cite

U. M. Prajapati, & S. K. Singh. (2016). Some Properties of Cyclotic Graph. International Journal of Mathematics And Its Applications, 4(2 - C), 1–11. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1040

Issue

Vol. 4 No. 2 - C (2016)

Section

Research Article

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