Dariush Kiani

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20162024

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math.CO2024

Combinatorial upper bounds for the smallest eigenvalue of a graph

Aryan Esmailpour, Sara Saeedi Madani, Dariush Kiani

Let $G$ be a graph, and let $λ (G)$ denote the smallest eigenvalue of $G$ . First, we provide an upper bound for $λ (G)$ based on induced bipartite subgraphs of $G$ . Consequently, we…

math.CO2016

An Explicit Formula for the Eigenvectors of Acyclic Matrices and Weighted Trees

Asghar Bahmani, Dariush Kiani

Let $A$ be an acyclic symmetric matrix of order $n$ . There is a weighted forest $F$ whose adjacency matrix is $A$ . In this paper, using some results on matching polynomials, we pro…