a Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge, CB2 1SB, UK
b Department of Mathematics, Louisiana State University, Baton Rouge, 070803, USA
Abstract:
We answer a question of Erdös, Faudree, Reid, Schelp and Staton by showing that for every integer k 2 there is a triangle-free graph G of order n such that no degree in G is repeated more than k times and ind(G) = (1 + o(1))n/k.