Open Access
2016 Gonality of random graphs
Andrew Deveau, David Jensen, Jenna Kainic, Dan Mitropolsky
Involve 9(4): 715-720 (2016). DOI: 10.2140/involve.2016.9.715

Abstract

The gonality of a graph is a discrete analogue of the similarly named geometric invariant of algebraic curves. Motivated by recent progress in Brill–Noether theory for graphs, we study the gonality of random graphs. In particular, we show that the gonality of a random graph is asymptotic to the number of vertices.

Citation

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Andrew Deveau. David Jensen. Jenna Kainic. Dan Mitropolsky. "Gonality of random graphs." Involve 9 (4) 715 - 720, 2016. https://doi.org/10.2140/involve.2016.9.715

Information

Received: 22 July 2015; Revised: 28 August 2015; Accepted: 30 August 2015; Published: 2016
First available in Project Euclid: 22 November 2017

zbMATH: 1341.05227
MathSciNet: MR3530209
Digital Object Identifier: 10.2140/involve.2016.9.715

Subjects:
Primary: 05C80 , 14H51 , 14T05

Keywords: Brill–Noether theory , chip-firing , gonality , Random graphs

Rights: Copyright © 2016 Mathematical Sciences Publishers

Vol.9 • No. 4 • 2016
MSP
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