Conference Paper

Total Domination Number of Regular Dendrimer Graph

Volume: 11 December 30, 2019
EN

Total Domination Number of Regular Dendrimer Graph

Abstract

In this paper total domination number is calculated for regular dendrimer graph. New equations are obtained for regular dendrimers by using geometric series properties.

Keywords

References

  1. Gao, Y., Zhu, E., Shao, Z., Gutman, I., Klobucar, A., {\em Total domination and open packing in some chemical graphs}, Journal of Mathematical Chemistry, \textbf{56}(2018), 1481--1492.
  2. Haynes, T.W., Hedetniemi, S.T., Slater, P.J., Fundamentals of Domination in Graphs, Marcel Dekker, New York, 1998.
  3. Haynes, T.W., Hedetniemi, S.T., Slater, P.J. (eds), Domination in Graphs: Advanced Topics, Marcel Dekker, New York, 1998.
  4. Hutchinson, L., Kamat, V., Larson, C.E., Mehta, S., Muncy, D., Van Cleemput, N., {\em Automated Conjecturing VI: Domination number of benzenoids}, MATCH Commun. Math. Comput. Chem., \textbf{80}(2018), 821--834.
  5. Majstorovic, S., Doslic, T., Klobucar, A., {\em k-domination on hexagonal cactus chains},Kragujevac Journal of Mathematics, \textbf{2}(2012), 335--347.
  6. Nagar, A.K., Sriam, S., {\em On eccentric connectivity index of eccentric graph of regular dendrimer}, Mathematics in Computer Science, \textbf{10}(2016), 229--237.
  7. Newkome, G.R., Moorefield, C.N., Vogtle, F., Dendrimers and Dendrons: Concepts, Syntheses, Applications, Wiley-VCH, verlag GmbH and Co.KGaA, 2002.
  8. Quadras, J., Mahizl, A.S.M., Rajasingh, I., Rajan, R.S., {\em Domination in certain chemical graphs}, J. Mathematical Chemistry, \textbf{53}(2015), 207--219.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Conference Paper

Publication Date

December 30, 2019

Submission Date

August 29, 2019

Acceptance Date

December 16, 2019

Published in Issue

Year 2019 Volume: 11

APA
Şener, Ü., & Şahin, B. (2019). Total Domination Number of Regular Dendrimer Graph. Turkish Journal of Mathematics and Computer Science, 11, 81-84. https://izlik.org/JA52LG39WK
AMA
1.Şener Ü, Şahin B. Total Domination Number of Regular Dendrimer Graph. TJMCS. 2019;11:81-84. https://izlik.org/JA52LG39WK
Chicago
Şener, Ümmügülsüm, and Bünyamin Şahin. 2019. “Total Domination Number of Regular Dendrimer Graph”. Turkish Journal of Mathematics and Computer Science 11 (December): 81-84. https://izlik.org/JA52LG39WK.
EndNote
Şener Ü, Şahin B (December 1, 2019) Total Domination Number of Regular Dendrimer Graph. Turkish Journal of Mathematics and Computer Science 11 81–84.
IEEE
[1]Ü. Şener and B. Şahin, “Total Domination Number of Regular Dendrimer Graph”, TJMCS, vol. 11, pp. 81–84, Dec. 2019, [Online]. Available: https://izlik.org/JA52LG39WK
ISNAD
Şener, Ümmügülsüm - Şahin, Bünyamin. “Total Domination Number of Regular Dendrimer Graph”. Turkish Journal of Mathematics and Computer Science 11 (December 1, 2019): 81-84. https://izlik.org/JA52LG39WK.
JAMA
1.Şener Ü, Şahin B. Total Domination Number of Regular Dendrimer Graph. TJMCS. 2019;11:81–84.
MLA
Şener, Ümmügülsüm, and Bünyamin Şahin. “Total Domination Number of Regular Dendrimer Graph”. Turkish Journal of Mathematics and Computer Science, vol. 11, Dec. 2019, pp. 81-84, https://izlik.org/JA52LG39WK.
Vancouver
1.Ümmügülsüm Şener, Bünyamin Şahin. Total Domination Number of Regular Dendrimer Graph. TJMCS [Internet]. 2019 Dec. 1;11:81-4. Available from: https://izlik.org/JA52LG39WK