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Minimal Total Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph
| International Journal of Applied Information Systems |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 6 - Number 8 |
| Year of Publication: 2014 |
| Authors: M. Siva Parvathi, B. Maheswari |
10.5120/ijais14-451090
|
M. Siva Parvathi, B. Maheswari . Minimal Total Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph. International Journal of Applied Information Systems. 6, 8 ( February 2014), 11-16. DOI=10.5120/ijais14-451090
Abstract
Domination in graphs is the fast growing area of research in Graph theory that has emerged rapidly in the last three decades. An introduction and an extensive overview on domination in graphs and related topics is surveyed and detailed in the two books by Haynes et al. [ 6, 7 ]. They have applications in diverse areas such as logistics and networks design, mobile computing, resource allocation and telecommunication etc. Product of graphs occurs naturally in discrete mathematics as tools in combinatorial constructions. They give rise to important classes of graphs and deep structural problems. In this paper the concept of total dominating functions of corona product graph of a cycle with a complete graph is studied and some results on minimal total dominating functions are obtained.
References
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- Siva Parvathi, M and Maheswari, B . - Minimal Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph - International Journal of Computer Engineering & Technology, Volume 4, Issue 4 (2014), 248 – 256.
- Siva Parvathi, M and Maheswari, B. - Some variations of Y-Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph - International Journal of Computer Applications, Volume 81, Issue 1 (2014), 16 – 21.
- Siva Parvathi, M and Maheswari, B. - Some variations of Total Y-Dominating Functions of Corona Product Graph of a Cycle with a Complete Graph - Fire Journal of Science and Technology (accepted).
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