Title
Meet- and join-irreducibility of additive hereditary properties of graphs
Abstract
An additive hereditary property of graphs is any class of simple graphs which is closed under unions, subgraphs and isomorphisms. The set of all such properties is a lattice with set inclusion as the partial ordering. We study the elements of this lattice which are meet- join- and doubly-irreducible. The significance of these elements for the lattice of ideals of this lattice is discussed.
Year
DOI
Venue
2002
10.1016/S0012-365X(01)00323-5
Discrete Mathematics
Keywords
Field
DocType
irreducible property,05c99,o6b10,set inclusion,simple graph,lattice of properties of graphs,reducible property,property of graphs,additive hereditary property,partial order
Graph theory,Discrete mathematics,Congruence lattice problem,Combinatorics,Graph property,Hereditary property,Map of lattices,Join and meet,Mathematics,Partially ordered set,Maximal independent set
Journal
Volume
Issue
ISSN
251
1
Discrete Mathematics
Citations 
PageRank 
References 
5
0.78
4
Authors
4
Name
Order
Citations
PageRank
Amelie J. Berger1122.54
Izak Broere214331.30
Samuel J. T. Moagi351.11
Peter Mihók423244.49