ABSTRACT
A non-empty subset Β of vertices in a graph Β is a Inverse blast distance dominating set if every vertex in Β is within distance-2 of atleast one vertex in . The Inverse blast distance-2 domination number Β is the minimum cardinality of a minimal Inverse blast distance-2 dominating set in .The hub of this article is a search of the behavior of the blast distance-2 domination and the inverse blast distance-2 domination for Β obrazom of some particular graphs.
References
- S and Josaph. P, On graphs with equal domination and connected domination numbers, Discreate Math. 206 (1999) 45-49
- Chartrand. G and Lesniak L., Graphs and digraphs, CRC Press, Boca Raton, 2005.
- Clark J. and Holton D.A, A first look a graph theory, World Scientific Publishing Co., Singapore, 1991.
- Haynes T.W.,Hedetniemi S. T and Slater P.J., Fundamentals of Domination in Graphs, Marcel Dekker, Inc., New York, 1998.
- Hedetniemi S. T. and Lasker R.C., Connected domination in graphs, Graph Theory and Combinatorics, B. Ballobas, Ed., Acadamic Press London, (1984), 209-218
- V.R., (2012). Advances in domination theory, Vishwa International Publications, Gulbarga, India. Yorozu, M. Hirano, K.
- S, Gayathri.B and Kulandaivel.M.P, Towards connected domination in graphs, Int. J. of Pure and Applied Mathematics, 117(140) (2017) 53-62
- Mahadevan G., Ahila A., and Selvam Avadayappan, Blast domination number for -Obrazom, International Journal of Pure and Applied Mathematics, 118(7) (2018) 111-117
- Mahadevan G,. Ahila A. and Selvam Avadayappan, Blast Domination Number on square and cube graphs, Stud. Discrete Math. 1 (1) (2017) 31-35
- Sampathkumar E and Walikar H.B., The connected domination number of a graph, Math. Phy. Sci. 13(6) (1979) 607-613
- F and Xu J.M., A note on distance domination number of graphs, Australasian J. Combin. 43 (2009) 181-190
- Silambarasan, Some algebraic structures of Picture fuzzy matrices, World Scientific News, 150 (2020) 78-91
- Silambarasan, An interval-valued intuitionistic fuzzy matrices based on Hamacher operations, World Scientific News, 150 (2020) 148-161
- Silambarasan, Fermatean fuzzy matrices, TWMS Journal of Applied and Engineering Mathematics, 12(3) (2022) 1039-1050
- Silambarasan, Some Algebraic Structures of Neutrosophic fuzzy sets, IJNS, 19 No. 02, (2022) 30-41
- Silambarasan, Spherical fuzzy matrices, TWMS J. App. and Eng. Math. 13(1) (2023) 98-109.
- Silambarasan and S.Sriram, Some operations over intitionistic fuzzy matrices based on Hamacher t- norm and t- conorm, TWMS Journal of Applied and Engineering Mathematics, 11(2) (2021) 541-551
- Silambarasan and S.Sriram, Implication operator on Pythagorean Fuzzy Set, International Journal of Scientific & Technology Research, 8 (8) (2019) 1505-1509
- Silambarasan, Hamacher operations of Fermatean fuzzy matrices, Applications and Applied Mathematics: An International Journal 16(1) (2022) 289-319
- Rajakumari and I. Silambarasan, A study on Domination parameters for Various Graphs, LAP Lambert Academic Publishing, 2023, ISBN: 9786206738558
Download all article in PDF