I am looking for an adjective form to describe similar geometric objects (graphs, networks, polygons) that have "the same number of edges" (for a technical audience, a scientific paper). [EDIT] Based on comments, I should add that I understand polygons as possibly open: a square without one edge (U-shaped) possesses the same number of edges as a closed triangle. I am more informated in a adjective related to a count than to a shape ("morhp-").
This expression ("having the same number of edges") occurs several times, and I would like to have variations. A typical sentence would be:
We thus compare two networks with the same number of edges
Starting from equal-sized and the like, I thought about "equally-edged polygons" but this does not sound correct to me. Indeed, a graph can be described by different sizes: the number of edges, and the number of vertices. So equal-sized is ambiguous.
I would like a construction that could also apply on "having the same number of vertices" or "having the same number of facets" if possible.