3-Factor-criticality in domination critical graphs
โ Scribed by Nawarat Ananchuen; Michael D. Plummer
- Book ID
- 108113783
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 224 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The smallest cardinality of any such dominating set is called the domination number of G and is denoted by y(G). The purpose of this paper is to initiate an investigation of those graphs which are critical in the following sense: For each v, u E V(G) with v not adjacent to u, y(G + vu) < y(G). Thus
for any vertex x in G. This work considers properties of k-distance domination-critical graphs and establishes a best possible upper bound on the diameter of a 2-distance domination-critical graph G, that is, d(G) โค 3(ฮณ 2 -1) for ฮณ 2 โฅ 2.