TY - GEN
T1 - The clique corona operation and greedoids
AU - Levit, Vadim E.
AU - Mandrescu, Eugen
PY - 2008
Y1 - 2008
N2 - S is a local maximum stable set of G, and we write S∈ ∈Ψ(G), if S is a stable set of maximum size in the subgraph induced by S ∪ N(S), where N(S) is the neighborhood of S. It is known that Ψ(G) is a greedoid for every forest G, [10]. Bipartite graphs and triangle-free graphs, whose families of local maximum stable sets form greedoids were characterized in [11] and [12], respectively. The clique corona is the graph G∈=∈H∈? o {H 1,H 2,...,H n } obtained by joining each vertex v k of the graph H with the vertices of some clique H k , respectively. In this paper we demonstrate that if G is a clique corona, then Ψ(G) forms a greedoid on its vertex set.
AB - S is a local maximum stable set of G, and we write S∈ ∈Ψ(G), if S is a stable set of maximum size in the subgraph induced by S ∪ N(S), where N(S) is the neighborhood of S. It is known that Ψ(G) is a greedoid for every forest G, [10]. Bipartite graphs and triangle-free graphs, whose families of local maximum stable sets form greedoids were characterized in [11] and [12], respectively. The clique corona is the graph G∈=∈H∈? o {H 1,H 2,...,H n } obtained by joining each vertex v k of the graph H with the vertices of some clique H k , respectively. In this paper we demonstrate that if G is a clique corona, then Ψ(G) forms a greedoid on its vertex set.
UR - http://www.scopus.com/inward/record.url?scp=51849119738&partnerID=8YFLogxK
U2 - 10.1007/978-3-540-85097-7_36
DO - 10.1007/978-3-540-85097-7_36
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AN - SCOPUS:51849119738
SN - 3540850961
SN - 9783540850960
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 384
EP - 392
BT - Combinatorial Optimization and Applications - Second International Conference, COCOA 2008, Proceedings
T2 - 2nd International Conference on Combinatorial Optimization and Applications, COCOA 2008
Y2 - 21 August 2008 through 24 August 2008
ER -