Transversal Eccentric Domination in Graphs

Authors

  • Riyaz Ur Rehman A
  • A Mohamed Ismayil

DOI:

https://doi.org/10.23755/rm.v46i0.1043

Abstract

We introduce transversal eccentric dominating(TED) set. An eccentric dominating set $D$ is called a TED-set if it intersects with every minimum eccentric dominating set $D'$. We find the TED-number $\gamma_{ted}$ of some standard graphs. Results are stated and proved.

References

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A. M. Ismayil and A. R. U. Rehman. Accurate eccentric domination in graphs.Our Heritage, 68(4)(1, 2020):209–216, 2020a.

A. M. Ismayil and A. R. U. Rehman. Equal eccentric domination in graphs.Malaya Journal of Matematik (MJM), 8(1, 2020):159–162, 2020b.

T. Janakiraman, M. Bhanumathi, and S. Muthammai. Eccentric domination in graphs. International Journal of Engineering Science, Computing and Bio-Technology, 1(2):1–16, 2010.

O. Ore. Theory of graphs. Amer. Math. Soc. Colloq. Publ., 38 (Amer. Math. Soc., Providence, RI), 38, 1996.

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Published

2023-03-20

Issue

Vol. 46 (2023): Special Issue: Advance of Mathematics in Science and Engineering

Section

Volume 46-2023

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