%0 Journal Article
%T Mutant knots and intersection graphs
%A S. V. Chmutov
%A S. K. Lando
%J Mathematics
%D 2007
%I arXiv
%X We prove that if a finite order knot invariant does not distinguish mutant knots, then the corresponding weight system depends on the intersection graph of a chord diagram rather than on the diagram itself. The converse statement is easy and well known. We discuss relationship between our results and certain Lie algebra weight systems.
%U http://arxiv.org/abs/0704.1313v1