3 papers
math.CO2026
On Directed Graphs with the Same Sum over Arborescence Weights
Sayani Ghosh, Bradley S. Meyer
We show that certain digraphs with the same vertex set but different arc sets have the same sum over the weights of all arborescences with a given root vertex. We relate our result…
math.CO2026
Digraph Branchings and Matrix Determinants
Sayani Ghosh, Bradley S. Meyer
We present a version of the matrix-tree theorem, which relates the determinant of a matrix to sums of weights of arborescences of its directed graph representation. Our treatment a…
astro-ph.HE2026
Propagating Uncertainties from Nuclear Physics to Gamma-rays in Core Collapse Supernovae
Chris L Fryer, Hendrik Schatz, Samuel Jones +18
Nuclear yields are powerful probes of supernova explosions, their engines and their progenitors. In addition, as we improve our understanding of these explosions, we can use nuclea…