Kneser graph

noun

A graph K(n, k) (alternatively KG_(n,k)), whose vertices correspond to the k-element subsets of a set of n elements, and where two vertices are adjacent iff the two corresponding sets are disjoint.

Meanings

nounKneser graph (plural Kneser graphs)

plural Kneser graphs

  1. graph theoryA graph K(n, k) (alternatively KG_(n,k)), whose vertices correspond to the k-element subsets of a set of n elements, and where two vertices are adjacent iff the two corresponding sets are disjoint.

Origin

Named after Martin Kneser, who first investigated them in 1956.

Full word history & related roots →
Cite this entry
APA

Kneser graph. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Kneser%20graph

MLA

“Kneser graph.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Kneser%20graph. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Kneser graph,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Kneser%20graph.

Source: Kneser graph on Wiktionary, CC BY-SA 4.0.