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.
Other articles related to "asymmetric graph, asymmetric, graphs":
... The smallest asymmetric tree has seven vertices it consists of three paths of lengths 1, 2, and 3, linked at a common endpoint ... In contrast to the situation for graphs, almost all trees are symmetric ...
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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 (19111980)