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Explicating the Exact \(\gamma _{CD}\) Value for the Tensor Product of Graphs

  • L. Praveenkumar,
  • G. Mahadevan,
  • C. Sivagnanam,
  • Sanjay K. Tyagi

摘要

Let \(\gamma _{CD}(H)\) denote the corona domination number (CD-number) of the graph H. The idea of CD-number was first coined by G. Mahadevan et al. in 2021. The CD-number of a graph is the minimum cardinality of a dominating set S with the condition that every vertex in the graph induced by S is either a pendent vertex or support vertices. In this paper, we carry over the study of CD-number to identify the exact value of \(\gamma _{CD}(P_r \otimes P_s)\) , \(\gamma _{CD}(C_r \otimes C_s)\) , \(\gamma _{CD}(P_r^c \otimes P_s)\) , etc.