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math.CO2022★ 1 cited
Maximum spread of -minor-free graphs
William Linz, Linyuan Lu, Zhiyu Wang
The spread of a graph is the difference between the largest and smallest eigenvalues of the adjacency matrix of . In this paper, we consider the family of graphs which conta…
math.CO2022
On the maximum spread of planar and outerplanar graphs
Zelong Li, William Linz, Linyuan Lu +1
The spread of a graph is the difference between the largest and smallest eigenvalue of the adjacency matrix of . Gotshall, O'Brien and Tait conjectured that for sufficiently…
math.CO2022
On the sizes of -intersecting -chain-free families
József Balogh, William B. Linz, Balázs Patkós
A set system is -\textit{intersecting}, if the size of the intersection of every pair of its elements has size at least . A set system is -\tex…