The transmission of a vertex in a connected graph is the sum of all distances from that vertex to the others. It is said to be normalized if divided by n -1, where n denotes the order of the graph. The proximity of a graph is the minimum normalized transmission, while the remoteness is the maximum n
β¦ LIBER β¦
Proximity and remoteness in graphs: Results and conjectures
β Scribed by Mustapha Aouchiche; Pierre Hansen
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 138 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
NordhausβGaddum relations for proximity
β
M. Aouchiche; P. Hansen
π
Article
π
2010
π
Elsevier Science
π
English
β 300 KB
A survey: Recent results, conjectures, a
β
Joseph A. Gallian
π
Article
π
1989
π
John Wiley and Sons
π
English
β 752 KB
In this paper we organize and summarize much of the work done on graceful and harmonious labelings of graphs. Many open problems and conjectures are included.
Results and conjectures in holomorphic f
β
Simeon Reich; David Shoikhet
π
Article
π
1997
π
Elsevier Science
π
English
β 692 KB
Conjectures on index and algebraic conne
β
Kinkar Ch. Das
π
Article
π
2010
π
Elsevier Science
π
English
β 354 KB
Split-Neighborhood Graphs and the Strong
β
F. Maffray; M. Preissmann
π
Article
π
1995
π
Elsevier Science
π
English
β 649 KB
We introduce the class of graphs such that every induced subgraph possesses a vertex whose neighbourhood can be split into a clique and a stable set. We prove that this class satisfies Berge's strong perfect graph conjecture. This class contains several well-known classes of (perfect) graphs and is
Partitionable graphs, circle graphs, and
β
Mark A. Buckingham; Martin Charles Golumbic
π
Article
π
1983
π
Elsevier Science
π
English
β 749 KB