On the relationship between the diameter and the size of a boundary of a directed graph (Q1329425)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the relationship between the diameter and the size of a boundary of a directed graph |
scientific article; zbMATH DE number 600100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the relationship between the diameter and the size of a boundary of a directed graph |
scientific article; zbMATH DE number 600100 |
Statements
On the relationship between the diameter and the size of a boundary of a directed graph (English)
0 references
4 July 1994
0 references
The authors establish a lower bound for the cardinality of a boundary \(B_ D(A)\) in a digraph \(D\) (\(A\) is a set of nodes of \(D\)) whose in- degree and out-degree are both at most \(\beta\geq 2\). This estimation yields several interesting corollaries.
0 references
diameter
0 references
lower bound
0 references
boundary
0 references
digraph
0 references
0 references