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On the minimum vertex covering transversal dominating sets in graphs and their classification. (English) Zbl 1386.05144

MSC:
05C69 Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)
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References:
[1] G. Chatrand and P. Zhang, Introduction to Graph Theory (Tata McGraw Hill Education, New Delhi, 2017), Eighth Reprint 2012.
[2] Cockanye, E. J.; Hedetniemi, S. T., Towards a theory of domination in graphs, Networks, 7, 247-261, (1977) · Zbl 0384.05051
[3] Hamid, I. S., Independent transversal domination in graphs, Discuss. Math. Graph Theory, 32, 1, 5-17, (2012) · Zbl 1255.05136
[4] Kulli, V. R., Theory of Domination in Graphs, (2010), Vishwa International Publications, Gulbarga, India · Zbl 1242.05001
[5] Vasanthi, R.; Subramanian, K., Vertex covering transversal domination in graphs, Int. J. Math. Soft Comput., 5, 2, 01-07, (2015)
[6] Vasanthi, R.; Subramanian, K., On vertex covering transversal domination number of regular graphs, Sci. World J., 2016, 1029024, (2016)
[7] West, D. B., Introduction to Graph Theory, (2001), Prentice-Hall of India, New Delhi
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