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".

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 …

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Aug 25, 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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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.

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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 …