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I am looking to get the incidence graph of the generalised quadrangle and hexagon, in particular where s=t.

Once found, I would like to create the corresponding polarity graphs, either directly from the incidence graphs, or by first finding the polarity and using it to manually construct the polarity graph.

Does Sagemath have these functions, or if not, how could I construct them?

I am looking to get the incidence graph of the generalised quadrangle (n=4) and hexagon, hexagon (n=6), in particular where s=t.the parameters (s, t) of the generalised polygons are equal.

Once found, I would like to create the corresponding polarity graphs, either directly from the incidence graphs, or by first finding the polarity and using it to manually construct the polarity graph.

Does Sagemath have these functions, or if not, how could I construct them?

For an introduction to generalised polygons, see here.

I am looking to get the incidence graph of the generalised quadrangle (n=4) and hexagon (n=6), in particular where the parameters (s, t) of the generalised polygons are equal.

Once found, I would like to create the corresponding polarity graphs, either directly from the incidence graphs, or by first finding the polarity and using it to manually construct the polarity graph.

Does Sagemath have these functions, or if not, how could I construct them?

For an introduction to generalised polygons, see see herehttps://cage.ugent.be/~hvm/artikels/107.pdf.

I am looking to get the incidence graph of the generalised quadrangle (n=4) $n=4$, and hexagon (n=6), $n=6$, in particular where the parameters (s, t) $(s, t)$ of the generalised polygons are equal.

Once found, I would like to create the corresponding polarity graphs, either directly from the incidence graphs, or by first finding the polarity and using it to manually construct the polarity graph.

Does Sagemath have these functions, or if not, how could I construct them?