Complement graph: Difference between revisions

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==Applications and examples==
Several graph-theoretic concepts are related to each other via complement graphs. For example, the complement of an [[edgeless graph]] is a [[complete graph]] and vice versa. An [[independent set (graph theory)|independent set]] in a graph is a [[clique (graph theory)|clique]] in the complement graph and vice versa. The complement of any [[triangle-free graph]] is a [[claw-free graph]]. A [[self-complementary graph]] is a graph that is [[graph isomorphism|isomorphic]] to its own complement.
 
==References==