Centre for Discrete and Applicable Mathematics

 CDAM Research Report, LSE-CDAM-98-06

May 1998


The Complexity of Toughness in Regular Graphs

D.Bauer, J. van den Heuvel, A. Morgana, and E. Schmeichel

Abstract

Let  t >= 1  be an integer. We show that it is NP-hard to determine if an r-regular graph is t-tough for any fixed integer  r >= 3t.  We also discuss the complexity of recognizing if an r-regular graph is t-tough, for any rational  t >= 1.


A compressed (gzip) PostScript file (129 kB) with the full contents of this report can be downloaded by clicking here.

Alternatively, if you like a free hard copy of this report, please send the number of this report, LSE-CDAM-98-06, together with your name and postal address to:
CDAM Research Reports Series
Centre for Discrete and Applicable Mathematics
London School of Economics
Houghton Street
London WC2A 2AE, U.K.
Phone: +44(0)-171-955 7732.
Fax: +44(0)-171-955 6877.
Email: info@maths.lse.ac.uk


Introduction to the CDAM Research Report Series.
CDAM Homepage.


Copyright © London School of Economics & Political Science 2005

Last changed: Wed 9 Feb 2005
For comments go to: http://www.maths.lse.ac.uk/webmaster.html