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Upper Unidomination Number and Upper Total Unidomination Number of a 3-Regularized Wheel

by V. Anantha Lakshmi, B. Maheswari
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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

@article{ 10.5120/ijca2018917359,
author = { V. Anantha Lakshmi, B. Maheswari },
title = { Upper Unidomination Number and Upper Total Unidomination Number of a 3-Regularized Wheel },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2018 },
volume = { 180 },
number = { 51 },
month = { Jun },
year = { 2018 },
issn = { 0975-8887 },
pages = { 35-41 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume180/number51/29588-2018917359/ },
doi = { 10.5120/ijca2018917359 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:04:15.046434+05:30
%A V. Anantha Lakshmi
%A B. Maheswari
%T Upper Unidomination Number and Upper Total Unidomination Number of a 3-Regularized Wheel
%J International Journal of Computer Applications
%@ 0975-8887
%V 180
%N 51
%P 35-41
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
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
  1. Haynes, T.W. Hedetniemi, S.T. Slater, P.J. Fundamentals of domination in graphs, Marcel Dekker, Inc., New York (1998).
  2. Haynes, T. W., Hedetniemi, S.T., Slater, P.J., Domination in graphs: Advanced Topics, Marcel Dekker, Inc., New York (1998).
  3. 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).
  4. Zelinka, B. Some remarks on domination in cubic graphs, Disc.Math. 158 (1996), pp-249-255.
  5. 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.
  6. 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.
  7. 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.
  8. 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
  9. 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.
  10. 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

Computer Science
Information Sciences

Keywords

Wheel 3-regularized wheel minimal unidominating function minimal total unidominating function upper unidomination number upper total unidomination number.

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