Intrinsic 3-linkedness is not preserved by Y∇ moves

Abstract

This paper introduces a number of new intrinsically 3-linked graphs through five new constructions. We prove that intrinsic 3-linkedness is not preserved by [Formula: see text] moves. We will see that the graph [Formula: see text], which is obtained through a [Formula: see text] move on [Formula: see text], is not intrinsically 3-linked.