Main Article Content
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.
Keywords
Induced vertex stress
total induced vertex stress
barbell-like graphs.
Article Details
How to Cite
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
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
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