%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