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math.CO2026
Krahn--Szegő type inequalities and nodal domain methods on graphs
Huiqiu Lin, Lianping Liu, Xilong Yin +1
We study discrete analogues of classical spectral geometric inequalities and extremal eigenvalue problems on graphs. The classical Krahn--Szegő inequality states that, among bounde…
math.CO2026
A Faber--Krahn inequality for trees
Huiqiu Lin, Lianping Liu, Zhe You
The well-known Faber-Krahn theorem states that the ball has the lowest first Dirichlet eigenvalue among all domains of the same volume in . Leydold (Geom. Funct. Anal…