Graph Theory for Generals

The acceptable narrative for domestic consumption is that operations that engage the mobility of the Occupation force within the capital are sectarian ethnic cleansing. I don't see it that way. Suppose the problem Euler was trying to solve wasn't whether or not one could walk around the city of Konigsberg in a way that would involve crossing each bridge exactly once, but which edges of the graph, when removed, produced the least choices for Occupation Force responsive mobility, and the greatest ability for the Resistance Forces to pre-position assets and create kill zones?
As late as the Governorship of Nameq Pasha, the wali of (Ottoman) Baghdad, the defense of Baghdad presumed the temporary dismantelment of its floating bridges.
How many RPGs and better anti-rotary-wing munitions do you think are in OpFor hands in Baghdad?