Bipartite knots. (English) Zbl 1303.57007
Summary: We give a solution to a part of Problem 1.60 in Kirby’s list of open problems in topology, thus answering in the positive the question raised in 1987 by J. Przytycki: “There are oriented knots without a matched diagram.”
MSC:
57M25 | Knots and links in the \(3\)-sphere (MSC2010) |
57M27 | Invariants of knots and \(3\)-manifolds (MSC2010) |
05C90 | Applications of graph theory |