Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4653449 | European Journal of Combinatorics | 2015 | 11 Pages |
Abstract
We analyze the Brill–Noether theory of trivalent graphs and multigraphs having largest possible automorphism group in a fixed genus. For trivalent multigraphs with loops of genus at least 3, we show that there exists a graph with maximal automorphism group which is Brill–Noether special. We prove similar results for multigraphs without loops of genus at least 6, as well as simple graphs of genus at least 7. This analysis yields counterexamples, in any sufficiently large genus, to a conjecture of Caporaso.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Timothy Leake, Dhruv Ranganathan,