a unified approach to the incidence graphs of (weak) generalized quadrangles

A generalized quadrangle is a point-line geometry such that the incidence graph is a connected,bipartite graph of diameter 4 and girth 8. in this paper, we investigate the connection betweengeneralized quadrangles and octographic bipartite graph (shortly, o-graph), which are a class of bipartitegraphs satisfying certain axioms regarding graph-theoretic properties of them. we prove thatevery incidence graph of a generalized quadrangle is a o-graph. also we obtain some properties ofo-graphs in terms of graph invariants. finally, we conclude by discussing the implications of ourfindings and potential avenues for future research in this area.