Mohammad Mahdi Karkhaneei

collaborators

3 papers

math.CO2019

Proof of a Conjecture on the Seidel Energy of Graphs

Saieed Akbari, Mostafa Einollahzadeh, Mohammad Mahdi Karkhaneei +1

Let $G$ be a graph with the vertex set ${v_{1}, \dots, v_{n}}$ . The Seidel matrix of $G$ is an $n \times n$ matrix whose diagonal entries are zero, $ij$ -th entry is $- 1$ i…

math.CO2019

Proof of a conjecture on the algebraic connectivity of a graph and its complement

Mostafa Einollahzadeh, Mohammad Mahdi Karkhaneei

For a graph $G$ , let $λ_{2} (G)$ denote its second smallest Laplacian eigenvalue. It was conjectured that $λ_{2} (G) + λ_{2} (G) \geq 1$ , where $G ˉ$ is the complement of $G$ …

math.OC2018

Nonconvex weak sharp minima on Riemannian manifolds

M. Mahdi Karkhaneei, Nezam Mahdavi-Amiri

We are to establish necessary conditions (of the primal and dual types) for the set of weak sharp minima of a nonconvex optimization problem on a Riemannian manifold. Here, we are…