Hanmeng Zhan

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math.CO2026

Convex combination of first and second eigenvalues of trees

Hitesh Kumar, Bojan Mohar, Shivaramakrishna Pragada +1

For a graph $G$ , let $λ_{1} (G)$ and $λ_{2} (G)$ denote the largest and the second largest adjacency eigenvalue of $G$ . The sum $λ_{1} (G) + λ_{2} (G)$ is called the \emph{spectral sum} of $G$ …

math.CO2024

On the second largest adjacency eigenvalue of trees with given diameter

Hitesh Kumar, Bojan Mohar, Shivaramakrishna Pragada +1

For a graph $G$ , let $λ_{2} (G)$ denote the second largest eigenvalue of the adjacency matrix of $G$ . We determine the extremal trees with maximum/minimum adjacency eigenvalue $λ_{2}$ i…