@article {IOPORT.06034272, author = {Zahiri, Omid and Borzooei, Rajab Ali}, title = {Graph of BCI-algebras.}, year = {2012}, journal = {International Journal of Mathematics and Mathematical Sciences}, volume = {2012}, issn = {0161-1712}, pages = {Article ID 126835, 16 p.}, publisher = {Hindawi Publishing Corporation, New York, NY}, doi = {10.1155/2012/126835}, abstract = {Summary: 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 a commutative BCI-algebra or $G(X)$ is a complete graph or $n$-star graph. Finally, we attempt to investigate the relation between some operations on graphs and some operations on BCI-algebras.}, identifier = {06034272}, }