24 citations · 45 across the 11 of their papers we have counts for
13 papers
Merino-Welsh inequalities for matroids with controlled lattices of cyclic flats
Kolja Knauer, Leonardo Martínez-Sandoval, Criel Merino
Beke, Csáji, Csikvári, and Pituk showed that the Merino--Welsh quotient can be arbitrarily large, so the multiplicative Merino-Welsh inequality…
An activities expansion of the transition polynomial of a multimatroid
Criel Merino, Iain Moffatt, Steven Noble
The weighted transition polynomial of a multimatroid is a generalization of the Tutte polynomial. By defining the activity of a skew class with respect to a basis in a multimatroid…
The critical group of a combinatorial map
Criel Merino, Iain Moffatt, Steven Noble
Motivated by the appearance of embeddings in the theory of chip firing and the critical group of a graph, we introduce a version of the critical group (or sandpile group) for combi…
Some heterochromatic theorems for matroids
Criel Merino, Juan José Montellano-Ballesteros
The anti-Ramsey number of Erdös, Simonovits and Sós from 1973 has become a classic invariant in Graph Theory. To study this invariant in Matroid Theory, we use a related invariant…
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…
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…