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Tetravalent half-arc-transitive graphs of order $p^{2} q^{2}$

Hailin Liu; Bengong Lou; Bo Ling — 2019

Czechoslovak Mathematical Journal

We classify tetravalent $G$ -half-arc-transitive graphs $Γ$ of order $p^{2} q^{2}$ , where $G \leq 𝖠𝗎𝗍 Γ$ and $p$ , $q$ are distinct odd primes. This result involves a subclass of tetravalent half-arc-transitive graphs of cube-free order.

A conjugate gradient method with sufficient descent and global convergence for unconstrained nonlinear optimization.

Liu, Hailin; Cheng, Sui Sun; Li, Xiaoyong — 2011

Applied Mathematics E-Notes [electronic only]

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Tetravalent half-arc-transitive graphs of order p 2 q 2

A conjugate gradient method with sufficient descent and global convergence for unconstrained nonlinear optimization.

Tetravalent half-arc-transitive graphs of order $p^{2} q^{2}$