Much information about a graph can be obtained by studying its spanning trees. On the
other hand, a graph can be regarded as a 1-dimensional cell complex, raising the question …

Using electromagnetism to study analogue space-times is tantamount to considering
consistency conditions for when a given (meta-) material would provide an analogue space …

For a graph G, the generating function of rooted forests, counted by the number of connected
components, can be expressed in terms of the eigenvalues of the graph Laplacian. We …

Abstract The Tutte polynomial ${T} _G (X, Y) $ of a graph $ G $ is a classical invariant,
important in combinatorics and statistical mechanics. An essential feature of the Tutte …

We present a version of the weighted cellular matrix-tree theorem that is suitable for
calculating explicit generating functions for spanning trees of highly structured families of …

The Tutte polynomial is a classical invariant, important in combinatorics and statistical
mechanics. An essential feature of the Tutte polynomial is the duality for planar graphs G …

Much information about a graph can be obtained by studying its spanning trees. On the
other hand, a graph can be regarded as a 1-dimensional cell complex, raising the question …

Next-generation sequencing (NGS) methods have become an essential tool in the study of
complex microbial communities known as microbiomes. Because their near ubiquity, such …

We give a new formula for the weighted high-dimensional tree-numbers of matroid
complexes. This formula is derived from our result that the spectra of the weighted …

A popular model for spatial association is the conditional autoregressive (CAR) model, and
generalizations exist in the literature that utilize intrinsic CAR (ICAR) models within spatial …