RANDIC TYPE SDI INDEX OF CERTAIN GRAPHS

Year 2019, Volume: 9 Issue: 4, 894 - 900, 01.12.2019

K. N. PRAKASHA K. KİRAN S. RAKSHİTH

Abstract

In this paper, we calculate the Randic type SDI index of double graphs, subdivision graphs and complements of some standard graphs.

Keywords

Randic type SDI index, double graphs, subdivision graphs, k-complement, k i -complement.

References

• Das, Kinkar Ch., Akgunes, N., Togan, M., Yurttas, A., Cangul, I. N., Cevik, A. S., (2016), On the first Zagreb index and multiplicative Zagreb coindices of graphs, Analele Stiintifice ale Universitatii Ovidius Constanta, 24 (1), pp. 153-176 DOI: 10.1515/auom-2016-0008.
• Hosamani, S. M., Lokesha, V., Cangul, I. N., Devendraiah, K. M., (2016), On Certain Topological Indices of the Derived Graphs of Subdivision Graphs, Turkic World of Mathematical Sciences, Journal of Applied Engineering Mathematics, 6 (2), pp. 324-332.
• Lokesha, V., Shetty, S. B., Ranjini, P. S., Cangul, I. N., (2015), Computing ABC, GA, Randic and Zagreb Indices, Enlightments of Pure and Applied Mathematics (EPAM), 1 (1), pp. 17-28.
• Ranjini, P. S., Lokesha, V., Cangul, I. N., (2011), On the Zagreb indices of the line graphs of the subdivision graphs, Appl. Math. Comput., 218, pp. 699-702.
• Ranjini, P. S., Rajan, M. A., Lokesha, V., (2010), On Zagreb Indices of the Subdivision Graphs, Int. J. of Math. Sci. & Eng. Appns (IJMSEA), 4, pp. 221-228.
• Togan, M., Yurttas, A., Cangul, I. N., Cevik, A. S., Zagreb indices and multiplicative Zagreb indices of double graphs of subdivision graphs (preprint).
• Togan, M., Yurttas, A., Cangul, I. N., Zagreb and multiplicative Zagreb indices of r-subdivision graphs of double graphs (preprint).
• Togan, M., Yurttas, A., Cangul, I. N., (2015), Some formulae and inequalities on several Zagreb indices of r-subdivision graphs, Enlightments of Pure and Applied Mathematics (EPAM), 1 (1), pp. 29-45.
• Togan, M., Yurttas, A., Cangul, I. N., (2016), All versions of Zagreb indices and coindices of subdi- vision graphs of certain graph types, Advanced Studies in Contemporary Mathematics, 26 (1), pp. 227-236.
• Vukicevic, D., Gutman, I., Furtula, B., Andova, V., Dimitrov, D., (2011), Some Observations on Comparing Zagreb Indices, MATCH Commun. Math. Comput. Chem., 66, pp. 627-645.
• Yurttas, A., Togan, M., Cangul, I. N., (2016), Zagreb indices and multiplicative Zagreb indices of subdivision graphs of double graphs, Advanced Studies in Contemporary Mathematics, 26 (3) pp. 407-416.