The week's pick
Reseach Article
Upper Unidomination Number and Upper Total Unidomination Number of a 3-Regularized Wheel
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 180 - Number 51 |
| Year of Publication: 2018 |
| Authors: V. Anantha Lakshmi, B. Maheswari |
10.5120/ijca2018917359
|
V. Anantha Lakshmi, B. Maheswari . Upper Unidomination Number and Upper Total Unidomination Number of a 3-Regularized Wheel. International Journal of Computer Applications. 180, 51 ( Jun 2018), 35-41. DOI=10.5120/ijca2018917359
Abstract
The concept of unidominating function and total unidominating functions are introduced in [5] and [6] respectively.Minimal unidominating function and upper unidominationnumber are introduced in [7] and minimal total unidominating function and upper total unidomination number are introduced in [8]. The unidomination number and total unidomination number of a 3-regularized wheel are obtained in [9], [10]. In this paper the authors study the minimal unidominating functions, minimal total unidominating functions of a 3-regularized wheel and determined its upper unidomination number, upper total unidomination number. Further the number of minimal unidominating functions, minimal total unidominating functions with maximum weight are found.
References
- Haynes, T.W. Hedetniemi, S.T. Slater, P.J. Fundamentals of domination in graphs, Marcel Dekker, Inc., New York (1998).
- Haynes, T. W., Hedetniemi, S.T., Slater, P.J., Domination in graphs: Advanced Topics, Marcel Dekker, Inc., New York (1998).
- Hedetniemi, S.M., Hedetniemi, S.T., Wimer, T.V. Linear time resource allocation algorithm for trees.Technical report URI – 014, department of Mathematics, Clemson University (1987).
- Zelinka, B. Some remarks on domination in cubic graphs, Disc.Math. 158 (1996), pp-249-255.
- V. Anantha Lakshmi, B. Maheswari - Unidominating functions of a path: International Journal of Computer Engineering & Technology (IJCET), Volume 6, Issue 8, Aug 2015, pp. 11-19.
- Anantha Lakshmi, V and Maheswari, B. – Total Unidominating Functions of a Path:International Journal of Computer Applications ( IJCA), vol 126-No.13, (2015), pp-43-48.
- V. Anantha Lakshmi, B. Maheswari - Unidominating functions of a complete k-partite graph: International Journal of Scientific & Engineering Research (IJSER), Volume 6, Issue 11, November-2015, Pp 1256-1261.
- V. Anantha Lakshmi, B. Maheswari - Total Unidominating functions of a complete k-partite graph: Open Journal of Applied & Theoretical Mathematics, Vol.2, No.4, December, 2016 pp.795-805
- V. Anantha Lakshmi, B. Maheswari - Unidominating functions and Unidomination number of a 3-regularized wheel: International Journal of Research in Science and Engineering (IJRSE) Vol.2, issue:3 March-April, 2017, pp-207-214.
- V. Anantha Lakshmi, B. Maheswari - Total Unidominating Functions and Total Unidomination Number of a 3-Regularized Wheel: International Journal of Current Engineering and Scientific Research (IJCESR) Volume 5, Issue 4, April, 2018, pp-82-85
Index Terms
Keywords