👉 In mathematics and computer science, "branchiness" refers to the degree of connectivity between nodes in a graph or network. It is one of several concepts used to measure the complexity of a data structure. Branchiness can be defined as the minimum number of vertices (nodes) required for a given graph or network to contain all possible paths from one vertex to another, without any loops or cycles. For example, if we have a graph with 5 nodes and 4 edges, then it has