International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 126835, 16 pages
Research Article

Graph of BCI-Algebras

Department of Mathematics, Shahid Beheshti University, 1983963113 Evin, Tehran, Iran

Received 5 July 2011; Accepted 6 October 2011

Academic Editor: Alexander Rosa

Copyright © 2012 Omid Zahiri and Rajab Ali Borzooei. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We associate a graph to any subset Y of a BCI-algebra X and denote it by G(Y). Then we find the set of all connected components of G(X) and verify the relation between X and G(X), when X is commutative BCI-algebra or G(X) is complete graph or n-star graph. Finally, we attempt to investigate the relation between some operations on graph and some operations on BCI-algebras.