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 …

Oct 27, 2025 · In graph theory, trivial graphs are considered to be a degenerate case and are not typically studied in detail. A simple graph is a graph that does not contain more than one edge …

Simple Graph 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). In a simple …

The complement of a simple graph has the same vertex set but the missing edges. A graph is self-complementary if it is isomorphic to its complement (e.g. P4 or C5).

Since the edges of a simple graph are undirected, they are represented by unordered pairs of vertices rather than ordered pairs. For example, if V = fa; b; cg, then fa; bg = fb; ag would represent the same …

Graphs are ubiquitous in computer science because they provide a handy way to represent a relationship between pairs of objects. The objects represent items of interest such as programs, …

Jun 16, 2018 · Graph theorists are interested in the problem of finding the largest clique and largest independent set in a graph, both of which are difficult to find in large graphs.

In the field of graph theory, the term simple graph refers to a distinct kind of graph, one devoid of loops and multiple edges. Loops are defined as edges that connect a vertex back to itself, while multiple …

Aug 13, 2025 · 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 …

May 27, 2025 · What are Simple Graphs? 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 …