April 2018
Intermediate to advanced
292 pages
6h 44m
English
While talking about graphs, it is beneficial to introduce the subject of a spanning tree. What is it? A spanning tree is a subset of edges that connects all nodes in a graph without cycles. Of course, it is possible to have many spanning trees within the same graph. For example, let's take a look at the following diagram:

On the left-hand side is a spanning tree that consists of the following edges: (1, 2), (1, 3), (3, 4), (4, 5), (5, 6), (6, 7), and (5, 8). The total weight is equal to 40. On the right-hand side, another spanning tree is shown. Here, the following edges are taken into account: (1, 2), (1, 3), (2, 4