Absolutely. Think of a battlefield map as a formal diagram where every line is a directed vector—essentially a command that tells a unit where to move. Every shape—whether a circle, hexagon, or irregular polygon—functions like a node or a set of nodes that define a strategic area of control. In graph‑theoretic terms, the map becomes a directed graph: nodes are positions, edges are possible movements, and the weight on an edge could represent distance, difficulty, or even supply line strength. If we treat the shapes as subgraphs, we can analyze their connectivity and determine which forces are isolated or which are linked to a larger front. The classic war theorist Clausewitz would say the geometry of these shapes encodes friction and the center of gravity. By breaking the map down into this structured network, we turn a chaotic scene into a precise, quantifiable argument. Now let’s lay it out step by step.