Figure 6
Cliques and simplexes. (A) Pairwise interlinked subsets of vertexes in graph G form its cliques. Shown is a vertex \(\varsigma ^{(0)}\) (0-clique), a link \(\varsigma ^{(1)}\) (1-clique), a three-vertex \(\varsigma ^{(2)}\) and a four-vertex \(\varsigma ^{(3)}\) cliques. (B) Geometric simplexes are actual geometric figures: a 0D dot (\(\kappa ^{(0)}\)), a 1D link (\(\kappa ^{(1)}\)), a 2D triangle (\(\kappa ^{(2)}\)) and a 3D tetrahedron (\(\kappa ^{(3)}\)). (C) The corresponding abstract simplexes are simply ordered sets of vertexes: \(\sigma ^{(0)}\) (single vertex), \(\sigma ^{(1)}\) (pairs of vertexes), \(\sigma ^{(2)}\) (triples) and \(\sigma ^{(3)}\) (quadruples).
