Title
The domination number of the graph defined by two levels of the n-cube
Abstract
Consider all k-element subsets and ℓ-element subsets (k>ℓ) of an n-element set as vertices of a bipartite graph. Two vertices are adjacent if the corresponding ℓ-element set is a subset of the corresponding k-element set. Let Gk,ℓ denote this graph The domination number of Gk,1 will exactly be determined. We also give lower and upper estimates on the domination number Gk,2 and pose a conjecture of asymptotic nature.
Year
DOI
Venue
2019
10.1016/j.dam.2019.02.006
Discrete Applied Mathematics
Keywords
Field
DocType
Domination number,Turán theorem,Transversal design
Graph,Discrete mathematics,Combinatorics,Vertex (geometry),Bipartite graph,Domination analysis,Conjecture,Mathematics
Journal
Volume
ISSN
Citations 
266
0166-218X
1
PageRank 
References 
Authors
0.48
1
3
Name
Order
Citations
PageRank
Leila Badakhshian110.82
Gyula O. H. Katona226466.44
Zsolt Tuza31889262.52