This could be 1 idea to consider cell connection to edge(s). However, it mixed up edge both side connection not separately. We’ll need more consideration.

edge_and_cell.zip

you can access cell information node / edge related.

you can count cell number of each edge

for e in g.edges:
    print "cells:", len(e.cells)

you can calc cell’s area of each edge

for e in g.edges:
    print e
    for c in e.cells:
        print "cell area:", rs.CurveArea(c)[0]

as well as nodes

for n in g.nodes:
    print n
    print "cell area:", rs.CurveArea(n.cell)[0]