Signed Total Roman Dominating Functions of Corona Product of a Path with a Complete Graph

C. Shobha Rani; S. Jeelani Begum; G.S.S. Raju; S. Gouse Mohiddin

doi:https://doi.org/10.14445/22315373/IJMTT-V50P547

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 5 | Year 2017 | Article Id. IJMTT-V50P547 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P547

Signed Total Roman Dominating Functions of Corona Product of a Path with a Complete Graph

C. Shobha Rani, S. Jeelani Begum, G.S.S. Raju, S. Gouse Mohiddin

Abstract

Graph theory is a fascinating subject in mathematics. Its applications in many fields like Physical Sciences, Engineering communications, coding theory, Linguistics, Logical Algebra and Computer networking.

Keywords

Corona Product graph, Signed total roman dominating functions, Signed total roman domination number.

References

[1] E. J. Cockayne, R. M. Dawes & S. T. Hedetniemi, “Total domination in graphs”, Networks, vol. 10, pp. 211-219, Sep. 1980.
[2] H. A. Ahangar, M. A. Henning, V. Samodivkin, & I. G. Yero, “Total Roman domination in graphs”, Applicable Analysis and Discrete Mathematics, vol. 10, pp. 501–517, 2016.
[3] L. Volkmann, “Signed total Roman domination in graphs”, Journal of Combinatorial Optimization, vol. 32, pp. 855- 871, Oct. 2016.
[4] L. Volkmann, “On the signed total Roman domination and domatic numbers of graphs”, Discrete Applied Mathematics, vol. 214, pp. 179-186, Dec. 2016.
[5] M. A. Henning & A. P. Kazemi, “k-Tuple total domination in graphs”, Discrete Applied Mathematics, vol. 158, pp. 1006-1011, May 2010.
[6] R. B. Allan, R. Laskar, & S. Hedetniemi, “A note on total domination”, Discrete Mathematics, vol. 49, pp. 7-13, Mar. 1984.
[7] R. Frucht and F. Harary, “On the corona of Two Graphs”, Aequationes Mathematicae, vol. 4, pp. 322 – 325, Oct. 1970.

Citation :

C. Shobha Rani, S. Jeelani Begum, G.S.S. Raju, S. Gouse Mohiddin, "Signed Total Roman Dominating Functions of Corona Product of a Path with a Complete Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 5, pp. 292-297, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P547