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arXiv · 1704.06255

On the gonality, treewidth, and orientable genus of a graph

James Stankewicz
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Abstract

We examine connections between the gonality, treewidth, and orientable genus of a graph. Especially, we find that hyperelliptic graphs in the sense of Baker and Norine are planar. We give a notion of a bielliptic graph and show that each of these must embed into a closed orientable surface of genus one. We also find, for all $g\ge 0$, trigonal graphs of treewidth 3 and orientable genus $g$, and give analogues for graphs of higher gonality.

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James Stankewicz. 2017-04-20. On the gonality, treewidth, and orientable genus of a graph. https://arxiv.org/abs/1704.06255

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