Consider a graph G = (V, E) with nonnegative integer function c : V → N. Find an augmenting path method to compute a subgraph H = (V, F) (F ⊆ E) with maximum number of edges such that for every v ∈ V , deg(v) ≤ c(v)

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Adjacency matrix representation

An adjacency matrix is a square matrix that represents a finite graph. The matrix denotes whether a particular pair of nodes in a graph is adjacent or not. In brief, an adjacency matrix is an array of size N x N, where N is the number of vertices in the graph. The adjacency matrix can be used to represent a directed graph, undirected graph or a weighted graph.