Total Induced Vertex Stress in Barbell-Like Graphs

Joseph Shiny (1) , Johan Kok (2) , V. Ajitha (3)
(1) Mathematics Research Center, Mary Matha Arts and Science College, India,
(2) CHRIST (Deemed to be University), South Africa,
(3) Department of Mathematics, Mahatma Gandhi College, India

Abstract

This paper introduces new parameters called induced vertex stress and total induced vertex stress in G, respectively. For graphs G and H, aspects of the maximum and minimum total induced vertex stress that can be obtained by 1-edge addition and 2-vertex merging are discussed.

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References

Bondy, J.A. and Murty, U.S.R., Graph Theory with Applications, Macmillan Press, London, 1976.

Harary, F., Graph Theory, Addison-Wesley, Reading MA, 1969.

Kok, J., Shiny, J. and Ajitha, V., ”Total vertex stress alteration in cycle graphs”, Communicated.

Shimbel, A., ”Structural parameters of communication networks”, The Bulletin of Mathematical Biophysics, 15 no. 4 (1953), 501–507.

Shiny, J. and Ajitha, V., ”Stress regular graphs”, Malaya Journal of Matematik, 8 no. 3 (2020), 1152–1154.

West, B., Introduction to Graph Theory, Prentice-Hall, Upper Saddle River, 1996

Authors

Joseph Shiny
Johan Kok
jacotype@gmail.com (Primary Contact)
V. Ajitha
Author Biography

Johan Kok, CHRIST (Deemed to be University)

Independent Mathematics Reseacher, City of Tshwane, South Africa & Visiting Faculty, Department of Mathematics, Christ University, Bangalore, India.
Shiny, J., Kok, J., & Ajitha, V. (2021). Total Induced Vertex Stress in Barbell-Like Graphs. Journal of the Indonesian Mathematical Society, 27(2), 150–157. https://doi.org/10.22342/jims.27.2.966.150-157
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