Title
Closed-neighborhood union-closed graphs
Abstract
A CNUC graph is one in which the union of any two closed neighborhoods of single vertices is a closed neighborhood of a single vertex. We show that every (finite, simple) graph is an induced subgraph of a CNUC graph. This paper provides the definition of the cnuc number of a graph, the minimum number of vertices that must be added in order to embed the graph as an induced subgraph of a CNUC graph. This number is determined or estimated for several classes of graphs.
Year
Venue
DocType
2020
AUSTRALASIAN JOURNAL OF COMBINATORICS
Journal
Volume
ISSN
Citations 
77
2202-3518
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Kelly Guest100.34
Sarah Holliday200.34
Peter Johnson300.34
Dieter Rautenbach4946138.87
Matthew Walsh500.34