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

12, 20, 32, 92, 472

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..4.

Miguel A. Pizaña, The icosahedron is clique divergent, Discrete Mathematics, 262 (Feb. 2003), pp. 229-239.

YAGS, YAGS - Yet Another Graph System

Example

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.

Prog

(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.

Crossrefs

Cf. A299030, A063723, A053016.

Sequence in context: A269453 A082800 A026041 * A082296 A187766 A260905

Adjacent sequences: A299025 A299026 A299027 * A299029 A299030 A299031

Keyword

nonn,more

Author

José Hernández, Feb 01 2018

Status

approved