Volume 69 | Issue 1 | Year 2023 | Article Id. IJMTT-V69I1P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I1P513
Received | Revised | Accepted | Published |
---|---|---|---|
09 Dec 2022 | 10 Jan 2023 | 21 Jan 2023 | 31 Jan 2023 |
B. N. Kavitha, C. S. Nagabhushana, "Domination Parameter of Book Graph Bm," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 1, pp. 86-90, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I1P513
[1] E. J. Cockayne et al., “Perfect Domination in Graphs,” Journal of Combinatorics, Information and System Sciences, vol. 1, no. 8, pp. 136-148, 1993.
[2] E. J. Cockayne, “Domination of Undirected Graphs-A Survey,” Theory and Applications of Graphs, pp. 141-147, 1978. Crossref, https://doi.org/10.1007/BFb0070371
[3] G. S. Domke et al., “Restrained Domination in Graphs,” Discrete Mathematics, vol. 203, no. 1-3, pp. 61-69, 1999. Crossref, https://doi.org/10.1016/S0012-365X(99)00016-3
[4] Nandi M, Parui S and A. Adhikari, “The Domination Numbers of Cylindrical Grid Graphs,” Applied Mathematics and Computation, vol. 217, no. 10, pp. 4879-4889, 2011. Crossref, https://doi.org/10.1016/j.amc.2010.11.019
[5] S. K. Vaidya, and S. H. Karkar, “On Strong Domination Number of Graphs,” Applications and Applied Mathematics: An International Journal, vol. 12, no. 1, pp. 604-612, 2017.
[6] B. N. Kavitha, and Indrani Kelkar, “Equitable Domination to the Cross Product of Special Graph,” International Journal of Science Technology & Engineering, vol. 3, no. 10, 2017.
[7] B. N. Kavitha, and Indrani Kelkar, “Split and Equitable Domination in Book Graph and Stacked Book Graph,” International Journal of Advanced Research in Computer Science, vol. 8, no. 6, pp. 108-112, 2017. Crossref, https://doi.org/10.26483/ijarcs.v8i6.4475
[8] B. N. Kavitha, Indrani Kelkar, and K. R. Rajanna, “Perfect Domination in Book Graph and Stacked Book Graph,” International, Journal of Mathematics, Trends and Technology, vol. 56, no. 7, pp. 511-514, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V56P564
[9] B. N. Kavitha, and Indrani Kelkar, “Hinge Domination Number of a Graph,” International Journal of Engineering Research and Application, vol. 8, no. 7, pp. 70-71, 2018. Crossref, https://doi.org/10.9790/9622-0807027071
[10] B. N. Kavitha, and Indrani Kelkar, “Hinge Domination of Cross Product Special Graph,” International Journal of Engineering Research and Application. vol. 10, no. 7, pp. 20-23, 2020. Crossref, https://doi.org/10.9790/9622-1007012023
[11] B. N. Kavitha, and Indrani Kelkar, “Zagreb Indices of Book Graph and Stacked Book Graph,” International Journal of Engineering, Science and Mathematics, vol. 9, no. 6, pp. 25-39, 2020.
[12] B. N. Kavitha, Indrani Pramod Kelkar, and K. R. Rajanna, “Vulnerability Parameter of Book Graph,” International Journal of Mathematics Trends and Technology, vol. 66, no. 5, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I5P501
[13] B. N. Kavitha, C. S. Nagabhushana, and K. Rashmi, “Domination Zagreb Indices of a Book Graph and Stacked Book Graph,” International Journal of Mathematical Trends and Technology, vol. 68, no. 5, pp. 17-21, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I5P504
[14] B. N. Kavitha, K. Srinivasa Rao, and C. S. Nagabhushana, “Some Degree-based Connectivity Indices of Tadpole Graph,” International Journal of Recent Technology and Engineering, vol. 8, no. 2S6, 2019. Crossref, https://doi.org/10.35940/ijrte.B1094.0782S619
[15] B. N. Kavitha, C. S. Nagabhushana, and K. S. Onkarappa, “Zagreb Indices of Lollipop Graph,” International Journal of Creative Research Thought, vol. 11, no. 1, p. 1, 2023.
[16] Kulli, and Janakiram, “The Split Domination Number of a Graph,” Graph Theory Notes of New York XXXII, pp. 16-19, 1997.
[17] V. R. Kulli, and S. C. Sigarkanti, “Inverse Domination in Graphs,” National Academy Science Letters, vol. 14, no. 12, pp. 473-475, 1991.
[18] J.H. Hattingh and R.C. Laskar, On weak domination in graphs, Manuscript.Google Scholar
[19] E. Sampathkumar, and H. B. Walikar, “The Connected Domination Number of a Graph,” Journal of Mathematical and Physical Sciences, vol. 13, no. 6, pp. 607-613, 1979.
[20] R. Todeschini, and V. Consonni, “Molecular Descriptors for Chemoinformatics,” Wiley, 2009.
[21] V. G. Vizing, “The Cartesian product of graphs, Vycisl, Equitable Domination on Graphs,” Kragujevac Journal of Mathematics, vol. 35, no. 1, pp. 191-197, 2011.
[22] V. Swaminathan, and K. M. Dharmalingam, “Degree Equitable Domination on Graphs,” Kragujevac Journal of Mathematics, vol. 35, no, 1, pp. 191-197, 2011.
[23] H. B. Walker, B. D. Acharya, and E. Sampathkumar, “Recent Developments in the Theory of Domination in Graphs,” MRI Lecture Notes in Math, Mehta Research Institute of Mathematics, vol. 1, 1979.
[24] Stacked Book Graph website, 2022. [Online]. Available: https://mathworld.wolfram.com/search/?q=Stacked+Book+Graph