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International Journal of Mathematics and Mathematical Sciences
Article . 2012 . Peer-reviewed
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Graph ofBCI-Algebras

Graph of BCI-algebras
Authors: Omid Zahiri; Rajab Ali Borzooei;

Graph ofBCI-Algebras

Abstract

We associate a graph to any subsetYof aBCI-algebraXand denote it byG(Y). Then we find the set of all connected components ofG(X)and verify the relation betweenXandG(X), whenXis commutativeBCI-algebra orG(X)is complete graph orn-star graph. Finally, we attempt to investigate the relation between some operations on graph and some operations onBCI-algebras.

Related Organizations
Keywords

BCK-algebras, BCI-algebras, QA1-939, Mathematics, Graphs and abstract algebra (groups, rings, fields, etc.)

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold