Wiener Index and Maximum Degree Energy of Euler Graphs

Authors

  • B. Srividhya  Assistant Professor, Department of Mathematics, Dr. SNS Rajalakshmi College of Arts and Science. Coimbatore, Tamil Nadu, India
  • S. Yashodha  

Keywords:

Wiener Index, Eulerian Graph, Maximum Degree Energy, Maximum Degree Graph.

Abstract

In this paper, we study the concept of Wiener index of Euler graphs. We also introduced the concepts of Maximum degree matrix, M(G) for Euler graphs with their Maximum degree energy, EM(G). We derived the conditions for the graphs to be Eulerian. Applications of Wiener index and Euler graphs are also discussed.

References

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  7. "The energy of a graph"-R. Balakrishnan
  8. "Wiener Index of a Cycle in the Context of Some Graph Operations",by K. Thilakam1 and A. Sumathi2.
  9. "Wiener Index Of A Complete Graph And Wheel, With Their Graph Distance Matrix", by M. Ramya,S. Yashodha, A. Gayathri.

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Published

2018-02-28

Issue

Section

Research Articles

How to Cite

[1]
B. Srividhya, S. Yashodha, " Wiener Index and Maximum Degree Energy of Euler Graphs, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 1, pp.575-578, January-February-2018.