A299028 Number of vertices in the iterated clique graphs of the 1-skeleton of Plato's icosahedron.

12, 20, 32, 92, 472

Offset: 0

Author

José Hernández, Feb 01 2018

Keywords

• nonn
• more

Comments

It is known that the sequence of orders of the iterated clique graphs of the icosahedron goes to infinity.

Examples

			By definition, the zeroth iterated clique graph of a graph G is equal to G itself; since the icosahedron has 12 vertices, a(0)=12.
The first iterated clique graph of the icosahedron has 20 vertices; hence, a(1)=20.
		

Links

• Miguel A. Pizaña, The icosahedron is clique divergent, Discrete Mathematics, 262 (Feb. 2003), pp. 229-239.
• YAGS, YAGS - Yet Another Graph System

Crossrefs

Cf. A299030, A063723, A053016.

Programs

YAGS

K:=CliqueGraph;; g:=Icosahedron;; kg:=K(g);; Order(kg);
# It outputs the number of vertices in the first iterated
# clique graph of the icosahedron.