Signed Dominating and Total Dominating Functions of Corona Product Graph of a Path with a Star
Siva M Parvathi and B Maheswari. Article: Signed Dominating and Total Dominating Functions of Corona Product Graph of a Path with a Star. International Journal of Applied Information Systems 6(9):36-41, March 2014. BibTeX
@article{key:article, author = "M. Siva Parvathi and B. Maheswari", title = "Article: Signed Dominating and Total Dominating Functions of Corona Product Graph of a Path with a Star", journal = "International Journal of Applied Information Systems", year = 2014, volume = 6, number = 9, pages = "36-41", month = "March", note = "Published by Foundation of Computer Science, New York, USA" }
Abstract
Domination in graphs has been an extensively researched branch of graph theory. Graph theory is one of the most flourishing branches of modern mathematics and computer applications. 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. [ 1, 2]. Recently dominating functions in domination theory have received much attention. In this paper we present some results on minimal signed dominating functions and minimal total signed dominating functions of corona product graph of a path with a star.
Reference
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- Siva Parvathi, M – Some studies on dominating functions of corona product graphs, Ph. D thesis, Sri Padmavati Mahila Visvavidyalayam, Tirupati, Andhra Pradesh, India, 2013.
- 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, 2013, pp. 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, 2013, pp. 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).
- Siva Parvathi, M and Maheswari, B. - Minimal total dominating functions of corona product graph of a cycle with a complete graph – International Journal of Applied Information Systems (communicated).
- Siva Parvathi, M and Maheswari, B. - Convexity of minimal dominating and total dominating functions of corona product graph of a cycle with a complete graph – International Journal of Computer Applications (communicated).
Keywords
Corona Product, signed dominating function, Total signed dominating function.