On the characterization of some algebraically defined bipartite graphs of girth eight

Ming Xu, Xiaoyan Cheng, Yuansheng Tang

For any field $\mathbb{F}$ and polynomials $f_2,f_3\in \mathbb{F}[x,y]$, let ${\Gamma }_{\mathbb{F}}(f_2,f_3)$ denote the bipartite graph with vertex partition $P\cup L$, where $P$…