Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4649966 | Discrete Mathematics | 2008 | 12 Pages |
Abstract
A closure concept for undirected graphs based on the structure of the second neighborhood of a vertex is introduced. It is shown that the closure of a graph is uniquely determined and that the closure operation preserves the length of a longest path and cycle. Some related closure concepts are also discussed. A generalization of some known closure concepts is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Roman Čada,