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20062021
most citedInductive tools for connected ribbon graphs, delta-matroids and multimatroids

3 citations · 3 across the 5 of their papers we have counts for

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math.CO2021

The excluded minors for lattice path polymatroids

Joseph Bonin, Carolyn Chun, Tara Fife

We find the excluded minors for the minor-closed class of lattice path polymatroids as a subclass of the minor-closed class of Boolean polymatroids. Like lattice path matroids and…

math.CO2017

The structure of delta-matroids with width one twists

Carolyn Chun, Rhiannon Hall, Criel Merino +2

The width of a delta-matroid is the difference in size between a maximal and minimal feasible set. We give a Rough Structure Theorem for delta-matroids that admit a twist of width…

math.CO2017

On zeros of the characteristic polynomial of matroids of bounded tree-width

Carolyn Chun, Rhiannon Hall, Criel Merino +1

We develop some basic tools to work with representable matroids of bounded tree-width and use them to prove that, for any prime power and constant , the characteristic polyn…

math.CO20173 cited

Inductive tools for connected ribbon graphs, delta-matroids and multimatroids

Carolyn Chun, Deborah Chun, Steven D. Noble

We prove a splitter theorem for tight multimatroids, generalizing the corresponding result for matroids, obtained independently by Brylawski and Seymour. Further corollaries give s…

math.CO2006

Unavoidable Parallel Minors of 4-Connected Graphs

Carolyn Chun, Guoli Ding, Bogdan Oporowski +1

A parallel minor is obtained from a graph by any sequence of edge contractions and parallel edge deletions. We prove that, for any positive integer k, every internally 4-connected…