2 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
P-partition power sums
Farid Aliniaeifard, Victor Wang, Stephanie van Willigenburg
We develop the theory of weighted P-partitions, which generalises the theory of P-partitions from labelled posets to weighted labelled posets. We define the related generating func…
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…
The chromatic symmetric function of a graph centred at a vertex
Farid Aliniaeifard, Victor Wang, Stephanie van Willigenburg
We discover new linear relations between the chromatic symmetric functions of certain sequences of graphs and apply these relations to find new families of e-positive unit interval…
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…