Quarterly Journal of Political Science (QJPS) | 22/04/2010
We introduce a path-based measure of convexity to be used in assessing the compactness of legislative districts. Our measure is the probability that a district contains the shortest path between a randomly selected pair of its points. The measure is defined relative to exogenous political boundaries and population distributions.
Christopher P. Chambers and Alan D. Miller (2010), "A Measure of Bizarreness", Quarterly Journal of Political Science: Vol. 5: No. 1, pp 27-44. http://dx.doi.org/10.1561/100.00009022