A simple graph, also called a strict graph (Tutte 1998, p. 2), is an unweighted, undirected graph containing no graph loops or multiple edges (Gibbons 1985, p. 2; West 2000, p. 2; Bronshtein and …

In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some sense "related".

Oct 27, 2025 · A simple graph is a graph that does not contain more than one edge between the pair of vertices. A simple railway track connecting different cities is an example of a simple graph.

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A simple graph is a graph that does not have multiple edges (also called parallel edges) between two nodes and does not contain loops (edges that connect a node to itself).

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May 27, 2025 · A simple graph is a graph that has no multiple edges between any pair of vertices and no self-loops (edges connected to the same vertex). In other words, it's a graph where every edge is …

Mar 17, 2024 · Some sources impose the condition that a simple graph must have at least one vertex. Some sources also define a simple graph as one which has a finite number of vertices.

We will study only the so-called simple graphs. Simple graphs do not have edges that begin and end at the same vertex; they also don't have multiple edges between any two vertices.

To sum up, a simple graph is a collection of vertices and any edges that may connect them, such that every edge connects two vertices with no loops and no two vertices are joined by more than one edge.