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3-Factor-criticality in domination critical graphs

โœ 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

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๐Ÿ“œ SIMILAR VOLUMES


Domination critical graphs
โœ David P Sumner; Pattie Blitch ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 531 KB
Domination critical graphs
โœ David P Sumner; Pattie Blitch ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 531 KB

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

Vertex domination-critical graphs
โœ Jason Fulman; Denis Hanson; Gary Macgillivray ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 293 KB
Vertex domination-critical graphs
โœ Robert C. Brigham; Phyllis Z. Chinn; Ronald D. Dutton ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 303 KB
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โœ Fang Tian; Jun-Ming Xu ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

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) โ‰ค 3(ฮณ 2 -1) for ฮณ 2 โ‰ฅ 2.

Connected domination critical graphs
โœ Xue-Gang Chen; Liang Sun; De-Xiang Ma ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 339 KB