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math.CO2021
Deletion-contraction for a unified Laplacian and applications
Farid Aliniaeifard, Victor Wang, Stephanie van Willigenburg
We define a graph Laplacian with vertex weights in addition to the more classical edge weights, which unifies the combinatorial Laplacian and the normalised Laplacian. Moreover, we…
math.CO2020
Extended chromatic symmetric functions and equality of ribbon Schur functions
Farid Aliniaeifard, Victor Wang, Stephanie van Willigenburg
We prove a general inclusion-exclusion relation for the extended chromatic symmetric function of a weighted graph, which specializes to (extended) -deletion, and we give two met…