2 papers
math.CO2025
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…
math.CO2025
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…