The Extremal p-Spectral Radius of Special Berge Hypergraph
摘要
Let G be a graph.We say that a hypergraph H is Berge-G if there exists a bijection φ from E(G)to E(H)such that e ⊆ φ(e)for all e ∈ E(G).For any r-uniform hypergraph H and a real number p ≥ 1,the p-spectral radius λ(p)(H)of H is defined as maxx∈Rn,||x||p=1r∑{i1,...,ir}∈E(H)xi1…xir.We study the p-spectral radius of Berge-G hypergraphs and determine the 3-uniform hypergraphs with maximum p-spectral radius for p ≥ 1 among Berge-G hypergraphs when G is a tree that looks like Y with n vertices.
年，卷(期)：
2026, 33(2)
分类号：
05C50
15A18
机标分类号：
TP391.9
TB24
TN915.04
在线出版日期：
2026年7月17日
