William Linz

activity

20212026

most citedSymmetry and asymmetry between positive and negative square energies of graphs

2 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing 2026 · math.COShow all

3 papers · 2 filters

math.CO2026

On the classification of regular graphs with positive Lin-Lu-Yau curvature

George Brooks, Nathanael Johnson, William Linz +3

We prove several new structural and classification results about $d$ -regular graphs with positive Lin--Lu--Yau (LLY) curvature. We show that any positively curved $d$ -regular graph…

math.CO2026

Generalized Nordhaus--Gaddum Inequalities for Eigenvalues

Sahil Agarwal, Carter Antley, Joseph Aulenbacher +6

For a graph $G$ , let $λ_{1} (G) \geq λ_{2} (G) \geq \dots \geq λ_{n} (G)$ denote the adjacency eigenvalues of $G$ . We prove that for all looped graphs $G$ on $n$ vertices, \[λ_1(G) + λ_2(\over…

math.CO2026

Set systems containing no singleton intersection and the Delsarte number

William Linz

We prove that the maximum size of a family of $k$ -element subsets of the set $[n] = {1, 2, \dots, n}$ which contains no singleton intersection is $(k - 2 n - 2)$ when $3k-3 \…