Multiple Edges/ Parallel Edges
Multiple edges or parallel edges refer to the situation in graph theory where there are more than one edge connecting the same pair of vertices
Multiple edges or parallel edges refer to the situation in graph theory where there are more than one edge connecting the same pair of vertices. In other words, if there are multiple edges between two vertices, they are said to be parallel or multiple edges.
For example, suppose we have a graph with vertices labeled A, B, C, and D. If there are two edges connecting A and B (AB and BA), then we say that there are parallel edges between A and B. Similarly, if there are three edges connecting C and D (CD, DC, and CD), then there are multiple edges between C and D.
Multiple edges can appear in various types of graphs, including directed graphs (where edges have a specific direction) and undirected graphs (where edges have no specific direction).
It is worth noting that in some graph contexts, multiple edges might be meaningful and represent different relationships or attributes between the same pair of vertices. However, in most cases, graphs are considered simple graphs, meaning they do not have multiple or parallel edges.
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