๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Planar domination graphs

โœ Scribed by Elaine M. Eschen; William F. Klostermeyer; R. Sritharan


Book ID
108315837
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
126 KB
Volume
268
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Domination numbers of planar graphs
โœ MacGillivray, G.; Seyffarth, K. ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 967 KB

The problem of determining the domination number of a graph is a well known NPhard problem, even when restricted to planar graphs. By adding a further restriction on the diameter of the graph, we prove that planar graphs with diameter two and three have bounded domination numbers. This implies that

Domination in planar graphs with small d
โœ Wayne Goddard; Michael A. Henning ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 199 KB

## Abstract MacGillivray and Seyffarth (J Graph Theory 22 (1996), 213โ€“229) proved that planar graphs of diameter two have domination number at most three and planar graphs of diameter three have domination number at most ten. They also give examples of planar graphs of diameter four having arbitrar

Dominating Sets in Planar Graphs
โœ Lesley R. Matheson; Robert E. Tarjan ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 174 KB
Domination critical graphs
โœ David P Sumner; Pattie Blitch ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 531 KB