Concept of graphs

Let's start with the question what is a graph? Broadly speaking, a graph is a data structure that consists of nodes (also called vertices) and edges. Each edge connects two nodes. A graph data structure does not require any specific rules regarding connections between nodes, as shown in the following diagram:

The afore mentioned concept seems very simple, doesn't it? Let's try to analyze the preceding graph to eliminate any doubts. It contains nine nodes with numbers between 1 and 9 as values. Such nodes are connected by 11 edges, such as between nodes 2 and 4. Moreover, a graph can contain cycles, for example, with nodes indicated by 2, 3, and 4, as well as separate groups of nodes, which are not connected together. However, what about the topic of parent and child nodes, which you know from learning about trees? As there are no specific rules about connections in a graph, such concepts are not used in this case.

Note

A graph can also contain self-loops. Each is an edge that...