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2016

2016

It is shown that for a constant t ? N , every simple topological graph on n vertices has O ( n ) edges if the graph has no two… Expand

2011

2011

A drawing of a graph in the plane is called a thrackle if every pair of edges meets precisely once, either at a common vertex or… Expand

2011

2011

Abstract A drawing of a graph in the plane is called a thrackle if every pair of edges meet precisely once, either at a common… Expand

2011

2011

A tangle is a graph drawn in the plane so that any pair of edges have precisely one point in common, and this point is either an… Expand

2009

2009

A graph drawing is called a generalized thrackle if every pair of edges meets an odd number of times. In a previous paper, we… Expand

2006

2006

A thrackle is a drawing of a simple graph on the plane, where each edge is drawn as a smooth arc with distinct end-points, and… Expand

2004

2004

We prove the thrackle conjecture for K5 and K3,3. To do this we reduce the problem to a set of simultaneous quadratic equations… Expand

Highly Cited

2000

Highly Cited

2000

Abstract. A thrackle (resp. generalized thrackle) is a drawing of a graph in which each pair of edges meets precisely once (resp… Expand

1997

1997

Abstract. A thrackle is a graph drawn in the plane so that its edges are represented by Jordan arcs and any two distinct arcs… Expand

Highly Cited

1995

Highly Cited

1995

A thrackle is a graph drawn in the plane so that its edges are represented by Jordan arcs and any two distinct arcs either meet… Expand