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On Some New Signed Unidomination Parameters of Corona Product Graph of a Cycle with a Star

Ch. Hemalatha, B. Maheswari in Applied Sciences

International Journal of Applied Information Systems
Year of Publication:2020
Publisher: Foundation of Computer Science (FCS), NY, USA
Series: Volume 12 Number 35
Authors:Ch. Hemalatha, B. Maheswari
10.5120/ijais2020451893
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  1. Ch. Hemalatha and B Maheswari. On Some New Signed Unidomination Parameters of Corona Product Graph of a Cycle with a Star. International Journal of Applied Information Systems 12(35):14-18, December 2020. URL, DOI BibTeX

    @article{10.5120/ijais2020451893,
	author = "Ch. Hemalatha and B. Maheswari",
	title = "On Some New Signed Unidomination Parameters of Corona Product Graph of a Cycle with a Star",
	journal = "International Journal of Applied Information Systems",
	issue_date = "December 2020",
	volume = 12,
	number = 35,
	month = "December",
	year = 2020,
	issn = "2249-0868",
	pages = "14-18",
	url = "http://www.ijais.org/archives/volume12/number35/1105-2020451893",
	doi = "10.5120/ijais2020451893",
	publisher = "Foundation of Computer Science (FCS), NY, USA",
	address = "New York, USA"
}

Abstract

Domination in graphs is an emerging area of research in graph theory and in recent years it has been studied extensively. The concept of dominating functions are introduced by Hedetniemi [6] and this concept has been studied extensively in recent years. Unidominating function and unidomination number are new concepts introduced by Anantha Lakshmi [1].She studied these concepts for some standard graphs.

A new product on two graphs G1 and G2, called corona product denoted by G1⊙G2, was introduced by Frucht and Harary [3]. The concept signed dominating function of corona product graph Cn⊙Km was studied by Siva Parvathi [8].Aruna [2] has introduced new concepts signed unidominating function and signed upper unidomination number of a graph. In this paper these concepts are studied for corona product graph Cn⊙K(1,m ).

Reference

  1. Anantha Lakshmi, V. A Study on Unidominating and Total Unidominating functions of Some Standard Graphs, Ph.D. thesis, Sri Padmavati Mahila Visvavidyalayam, Tirupati, Andhra Pradesh, India, (2015).
  2. Aruna, B. Some Studies on Unidominating and Signed Unidominating functions of Corona product graphs, Ph.D. thesis, Sri Padmavati Mahila Visvavidyalayam, Tirupati, Andhra Pradesh, India, (2020).
  3. Frucht, R. Harary, F On the corona of Two Graphs. AequationesMathematicae, 1970, Volume4, Issue 3, pp. 322-325.
  4. Haynes, T.W., Hedetniemi, T and Slater, P.J. Fundamentals of Domination in Graphs, Marcel Dekker, New York, 1998.
  5. Haynes, T.W., Hedetniemi, T and Slater, P.J. Domination in Graphs: Advanced Topics,Marcel Dekker, New York, 1998.
  6. Hedetniemi S .M, Hedetniemi, S.T. and Wimer, T. V. - Linear time resource allocation algorithms for trees. Technical report URI – 014, Department of Mathematics, Clemson University, 1987.
  7. Hemalatha, Ch. And Maheswari, B.On some new domination parameters of corona product graph of a wheel with a star, International Journal of Computer Applications (Accepted).
  8. Siva Parvathi, M. Some Studies on Dominating functions of Corona Product Graphs, Ph. D. Thesis, Sri PadmavathiMahilaVisvavidyalayam, tirupathi, Andhra Pradesh, India, 2013.

Keywords

Signed unidominating function, signed unidomination number, minimal signed unidominating function, upper signed unidomination number