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Symmetry 2018, 10(7), 297; https://doi.org/10.3390/sym10070297

A Method to Identify Simple Graphs by Special Binary Systems

1
Research Institute for Natural Sci., Department of Mathematics, Hanyang University, Seoul 04763, Korea
2
Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA
3
Department of Mathematics Education, Dongguk University, Seoul 04620, Korea
*
Author to whom correspondence should be addressed.
Received: 27 June 2018 / Revised: 14 July 2018 / Accepted: 19 July 2018 / Published: 23 July 2018
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Abstract

In this paper, we discuss some relations between the semigroup, Bin(X), of all groupoids (X,) and graphs. We discuss mimimum (mutual) covering sets in several groupoids and discuss distances of graphs with groupoids. Finally, we obtain some results on frame graphs with groupoids. View Full-Text
Keywords: binary system (groupoid); minimum (mutual) covering set; (mutual) shortest distance; (di)frame graph; d/BCK-algebra binary system (groupoid); minimum (mutual) covering set; (mutual) shortest distance; (di)frame graph; d/BCK-algebra
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 (CC BY 4.0).
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Kim, H.S.; Neggers, J.; Ahn, S.S. A Method to Identify Simple Graphs by Special Binary Systems. Symmetry 2018, 10, 297.

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