Simon Mukwembi - On size, radius and minimum degree

dmtcs:1265 - Discrete Mathematics & Theoretical Computer Science, January 17, 2014, Vol. 16 no. 1 - https://doi.org/10.46298/dmtcs.1265
On size, radius and minimum degree

Authors: Simon Mukwembi 1

  • 1 University of KwaZulu-Natal [Durban, Afrique du Sud]

Let G be a finite connected graph. We give an asymptotically tight upper bound on the size of G in terms of order, radius and minimum degree. Our result is a strengthening of an old classical theorem of Vizing (1967) if minimum degree is prescribed.


Volume: Vol. 16 no. 1
Section: Graph Theory
Published on: January 17, 2014
Accepted on: July 23, 2015
Submitted on: February 9, 2012
Keywords: Discrete Mathematics, graph theory,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]

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