A study on deg-centric graphs
DOI:
https://doi.org/10.22199/issn.0717-6279-6174Keywords:
Distance, eccentricity, deg-centric graphs, iterated deg-centric graph, deg-centrication processAbstract
The deg-centric graph of a simple, connected graph G, denoted by Gd, is a graph constructed from G such that, V(Gd) = V(G) and E(Gd) = {vivj: dG(vi,vj) ≤ degG(vi)}. In this paper, the concepts of deg-centric graphs and iterated deg-centrication of a graph are introduced and discussed.
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J. Akiyama K. Ando and D. Avis, Eccentric graphs, Discrete Math.,Vol. 56 (1), pp. 1-6, 1985. https://doi.org/10.1016/0012-365X(85)90188-8
Raja, Manakkulam Rohith and Mangam, Tabitha Agnes and Nadu-vath, Sudev, Eccentric completion of a graph, Commun. Comb. Op-tim., Azarbaijan Shahid Madani University, Vol. 7 (2), pp. 193-201,2022.
Chartrand, Gary and Gu, Weizhen and Schultz, Michelle and Winters,Steven J., Eccentric graphs, Networks, Wiley Online Library, Vol. 34(2), pp. 115-121, 1999. https://doi.org/10.1002/(SICI)1097-0037(199909)34:2<115::AID-NET4>3.0.CO;2-K
Kaspar, S. and Gayathri, B. and Kulandaivel, MP and Shobhanadevi,N., Eccentric graphs of some particular classes of graphs, Int. J. PureAppl. Math., Vol. 16, pp. 145-152, 2018.
West, Douglas Brent, Introduction to graph theory, Prentice Hall ofIndia, New Delhi, Vol. 2, 2001.
Gould, Ronald, Graph theory, Courier Corporation, 2012.
Zhang, P. and Chartrand, G., Introduction to graph theory, TataMcGraw-Hill, 2006
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