Abstract
In this paper we study the D-saturated property of bands defined in terms of their Cayley graphs Cay(S,C), where S is a band and C ⊆ Z(S), the center of S. Also we characterize the Cayley graphs of bands. More generally, for a finite graph Γ =Cay(T, D), where T is a band and D ⊆ Z(T), we give an algorithm for finding all bands S and C ⊆ Z(S) such that Γ =Cay(S, C).
2010 Mathematics Subject Classification:
ACKNOWLEDGMENT
The authors are grateful to the referee for valuable suggestions and corrections, which helped us to improve and correct the manuscript.
Notes
Communicated by V. Gould.