Axial graph is the graph converted from an axial map, in which the lines are represented as nodes, and the intersections of lines as connections between the nodes.
Axial graph
Sources
Hillier, B. & Hanson, J. (1984), The Social Logic of Space, Cambridge University Press: Cambridge. pp.93-97;
Turner, A., Penn, A., Hillier, B., (2005) An Alogrithmic Defintion of the Axial Map. Environement and Planning B, 425-444. pp. 415-6.