Equitably strong nonsplit equitable domination in graphs
Keywords:Equitable domination, Split domination, Strong non - split domination
In a simple, finite and undirected graph G with vertex set V and edge set E, Prof. Sampathkumar defined degree equitability among vertices of G. Two vertices u and v are said to be degree equitable if |deg(u) − deg(v)| ≤ 1. Equitable domination has been defined and studied in . V.R.Kulli and B.Janakiram defined strong non - split domination in a graph . In this paper, the equitable version of this new type of domination is studied
K. D. Dharmalingam, “Studies in graph theorey-equitable domination and Bottleneck domination,” Ph.D. Thesis, Madurai Kamaraj University, Madurai, 2006.
K. M. Dharmalingam, “A note on the equitable covering and equitable packing of a graph”, Bulletin of international mathematical virtual institute, vol. 3, pp. 21-27, 2013. [Online]. Available: https://bit.ly/3y8D5HQ
K. M. Dharmalingam, “Equitable associate graph of a graph”, Bulletin of international mathematical virtual institute, vol. 2, pp. 109-116, 2012. [Online]. Available: https://bit.ly/2VfpboM
] V. R. Kulli and B. Janakiram, “The strong non-split domination number of a graph”, International journal of management and systems, vol. 19, no. 2, pp. 145-156, 2003. [Online]. Available: https://bit.ly/3y5ciMt
V. R. Kulli and B. Janakiram, “The split domination number of a graph”, Graph theory notes of New York, vol. 32, pp. 16-19. [Online]. Available: https://bit.ly/3zN6VlF
W. Meyer, “Equitable coloring”, The American mathematical monthly, vol. 80, No. 8, pp. 920-922, 1973. https://doi.org/10.2307/2319405
V. Swaminathan and K. M. Dharmalingam, “Degree equitable domination in graphs”, Kragujevac journal of mathematics, vol. 35, no.1, pp. 191-197, 2011. [Online]. Available: https://bit.ly/3i3aLB5
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