Title
Unoriented graphs of monounary algebras
Abstract
A problem proposed by G. Birkhoff concerns the relation between finite lattices and unoriented graphs. In the present paper we investigate an analogous problem concerning the relations between monounary algebras and unoriented graphs. To each monounary algebra A we assign in a natural way an unoriented graph G (A) without loops and multiple edges. We describe all monounary algebras B such that G (A) and G (B) are isomorphic. Further, we characterize all monounary algebras A having the property that whenever A 1 is a monounary algebra whose unoriented graph G (A 1 ) is isomorphic to G (A), then A 1 is isomorphic to A .
Year
DOI
Venue
2000
10.1016/S0012-365X(99)00410-0
Discrete Mathematics
Keywords
Field
DocType
unoriented graph,monounary algebra,08a60
Discrete mathematics,Graph,Combinatorics,Lattice (order),Isomorphism,Multiple edges,Mathematics
Journal
Volume
Issue
ISSN
222
1-3
Discrete Mathematics
Citations 
PageRank 
References 
1
0.40
0
Authors
1
Name
Order
Citations
PageRank
Danica Jakubíková-Studenovská111.07