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math.CO2024
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…
math.CO2024
A coarse Tutte polynomial for hypermaps
Joanna A. Ellis-Monaghan, Iain Moffatt, Steven Noble
We give an analogue of the Tutte polynomial for hypermaps. This polynomial can be defined as either a sum over subhypermaps, or recursively through deletion-contraction reductions…