Strong Hanani-Tutte for the Torus

09/01/2020
by   Radoslav Fulek, et al.
0

If a graph can be drawn on the torus so that every two independent edges cross an even number of times, then the graph can be embedded on the torus.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
09/20/2022

A tight bound for the number of edges of matchstick graphs

A matchstick graph is a plane graph with edges drawn as unit-distance li...
research
07/24/2020

Improving the dilation of a metric graph by adding edges

Most of the literature on spanners focuses on building the graph from sc...
research
09/14/2017

Embedded-Graph Theory

In this paper, we propose a new type of graph, denoted as "embedded-grap...
research
08/30/2018

The number of crossings in multigraphs with no empty lens

Let G be a multigraph with n vertices and e>4n edges, drawn in the plane...
research
08/25/2020

On the Maximum Number of Crossings in Star-Simple Drawings of K_n with No Empty Lens

A star-simple drawing of a graph is a drawing in which adjacent edges do...
research
11/20/2017

Edge Estimation with Independent Set Oracles

We study the problem of estimating the number of edges in a graph with a...
research
11/23/2017

Identification of Strong Edges in AMP Chain Graphs

The essential graph is a distinguished member of a Markov equivalence cl...

Please sign up or login with your details

Forgot password? Click here to reset