Graphs of Maximum Degree \(3\) and Order at Most \(16\) Which are Critical with Respect to the Total Chromatic Number.

G.M. Hamilton1, A.J. W. Hilton2
1Department of Engineering University of Reading Whiteknights Reading, U.K.
2Department of Mathematics University of Reading Whiteknighis Reading, U.K,

Abstract

We give a list of all graphs of maximum degree three and order at most sixteen which are critical with respect to the total chromatic number.