The Images of the Clique Operator and Its Square are Different

LetGbe the class of all graphs andKbe the clique operator.The validity of the equalityK(G)=K2(G)has been an open question forseveral years. A graph inK(G)but not inK2(G)is exhibited here.

Bibliographic Details
Author: de Caria, Pablo Jesús
Format: article
Status:Published version
Publication Date:2014
Country:Argentina
Institution:Consejo Nacional de Investigaciones Científicas y Técnicas
Repository:CONICET Digital (CONICET)
Language:English
OAI Identifier:oai:ri.conicet.gov.ar:11336/32871
Online Access:http://hdl.handle.net/11336/32871
Access Level:Open access
Keyword:Clique Graph
Clique Operator
Iterated Clique Graph
Octahedral Graph
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Description
Summary:LetGbe the class of all graphs andKbe the clique operator.The validity of the equalityK(G)=K2(G)has been an open question forseveral years. A graph inK(G)but not inK2(G)is exhibited here.