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Further Results on Accurate Domination in Graphs
B. Basavanagoud1 , Sujata Timmanaikar2
Section:Research Paper, Product Type: Isroset-Journal
Vol.5 ,
Issue.6 , pp.357-361, Dec-2018
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v5i6.357361
Online published on Dec 31, 2018
Copyright © B. Basavanagoud, Sujata Timmanaikar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: B. Basavanagoud, Sujata Timmanaikar, “Further Results on Accurate Domination in Graphs,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.6, pp.357-361, 2018.
MLA Style Citation: B. Basavanagoud, Sujata Timmanaikar "Further Results on Accurate Domination in Graphs." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.6 (2018): 357-361.
APA Style Citation: B. Basavanagoud, Sujata Timmanaikar, (2018). Further Results on Accurate Domination in Graphs. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(6), 357-361.
BibTex Style Citation:
@article{Basavanagoud_2018,
author = {B. Basavanagoud, Sujata Timmanaikar},
title = {Further Results on Accurate Domination in Graphs},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2018},
volume = {5},
Issue = {6},
month = {12},
year = {2018},
issn = {2347-2693},
pages = {357-361},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1059},
doi = {https://doi.org/10.26438/ijcse/v5i6.357361}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i6.357361}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1059
TI - Further Results on Accurate Domination in Graphs
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - B. Basavanagoud, Sujata Timmanaikar
PY - 2018
DA - 2018/12/31
PB - IJCSE, Indore, INDIA
SP - 357-361
IS - 6
VL - 5
SN - 2347-2693
ER -
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Abstract :
The accurate domination number of graph denoted by is the cardinality of a smallest set that is dominating set of and no element subset of is a dominating set of In this paper, we characterized the graphs with equal accurate domination number and maximal domination number( ). Further, we obtained various bounds for in terms of minimum(maximum)degree, vertex(edge)connectivity, vertex(edge)covering number, chromatic number and domination(connected domination)number.
Key-Words / Index Term :
Domination number, Accurate domination number, Maximal domination number
References :
[1] B. Basavanagoud and Sujata Timmanaikar, Accurate independent domination in graphs, Int. J. Math. Combin. (2), (2018) 87-96.
[2] J. Cyman, M.A.Henning and J. Topp, On Accurate Domination in Graphs, arXiv:1710.03308vl [math.CO] 9 Oct 2017.
[3] F. Harary, Graph Theory, Addison-Wesley, Reading, Mass, (1969).
[4] T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Fundamentals of Domination in Graphs, Marcel Dekker, Inc., New York, (1998).
[5] T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Domination in Graphs- Advanced Topics, Marcel Dekker, Inc., New York, (1998).
[6] V. R. Kulli and B. Janakiram, The Maximal Domination Number of a Graph, Graph Theory Notes of New York XXXIII, 11-13 (1997).
[7] V. R. Kulli, Theory of Domination in Graphs, Vishwa International Publications, Gulbarga, India (2010).
[8] V. R. Kulli, Advances in Domination Theory-I, Vishwa International Publications, Gulbarga, India (2012).
[9] V. R. Kulli and M.B. Kattimani, Accurate Domination in Graphs, In V.R.Kulli, ed., Advances in Domination Theory-I,Vishwa International Publications, Gulbarga, India, 1-8 (2012).
[10] Shaoji Xu, Relation between parameters of a graph, Discr. Math., 89, 65--88 (1991).
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