Steiner domination decomposition number of graphs

Authors

  • M Mahiba Research Scholar (Reg.No: 20213112092013), Research Department of Mathematics, Nesamony Memorial Christian College, Marthandam-629165. Affiliated to Manonmaniam Sundaranar University, Tirunelveli-627012, Tamil Nadu,
  • E Ebin Raja Merly Associate Professor, Research Department of Mathematics, Nesamony Memorial Christian College, Marthandam-629165. Affiliated to Manonmaniam Sundaranar University, Tirunelveli-627012, Tamil Nadu

DOI:

https://doi.org/10.23755/rm.v44i0.896

Keywords:

subgraphs, domination, decomposition number

Abstract

In this paper, we introduce a new concept Steiner domination decomposition number of graphs. Let  be a connected graph with Steiner domination numberA decomposition  of  is said to be a Steiner Domination Decomposition  if  Steiner domination decomposition number of  is the maximum cardinality obtained for an  of  and is denoted as Bounds on  are presented. Also, few characteristics of the subgraphs belonging to  of maximum cardinality are discussed

References

J.A. Bondy and U.S.R. Murty, Graph Theory with Applications, Macmillan Press, London, 1976.

G. Chartrandand P. Zhang,The Steiner number of a graph, Discrete Mathematics, 242, pp.41-54, 2002.

T.W. Haynes, S.T. HedetniemiandP.J. Slater, Fundamentals of Domination in Graphs, CRC press, 2013.

J. John, G. Edwinand P.A.P. Sudhahar, The Steiner domination number of a graph, International Journal of Mathematics and Computer Applications Research, 3(3), pp.37-42, 2013.

E.E.R. Merly and M. Mahiba, Steinerdecompositionnumberofgraphs, Malaya Journal of Matematik, Special Issue, pp.560-563, 2021.

E.E.R. Merly and M. Mahiba,Steiner Decomposition Numberof Completen- Sun graph, Journal of Physics: Conference series,1947, 2021.

K. Ramalakshmiand K. Palani,On Steiner Domination Number of Graphs, International Journal of Mathematics Trends and Technology, 41(2), pp.186-190, 2017.

S.K. Vaidya and R.N. Mehta,On Steiner domination in graphs, Malaya Journal of Matematik, 6(2),pp.381-384, 2018.

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Published

2022-12-11

Issue

Vol. 44 (2022): Special Issue: Recent Trends in Mathematics and its Applications

Section

Volume 45-2023

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