In graph theory, a branch of mathematics, an undirected graph is called an **asymmetric graph** if it has no nontrivial symmetries.

Formally, an automorphism of a graph is a permutation *p* of its vertices with the property that any two vertices *u* and *v* are adjacent if and only if *p*(*u*) and *p*(*v*) are adjacent. The identity mapping of a graph onto itself is always an automorphism, and is called the trivial automorphism of the graph. An asymmetric graph is a graph for which there are no other automorphisms.

Read more about Asymmetric Graph: Examples, Properties, Random Graphs, Trees

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“When producers want to know what the public wants, they *graph* it as curves. When they want to tell the public what to get, they say it in curves.”

—Marshall McLuhan (1911–1980)