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The geodetic number of a graph

โœ Scribed by Frank Harary; Emmanuel Loukakis; Constantine Tsouros


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
406 KB
Volume
17
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the geodetic number of a graph
โœ Gary Chartrand; Frank Harary; Ping Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 308 KB
The Geodetic Number of an Oriented Graph
โœ Gary Chartrand; Ping Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

For two vertices u and v of an oriented graph D, the set I (u, v) consists of all vertices lying on a uv geodesic or vu geodesic in D. If S is a set of vertices of D, then I (S) is the union of all sets I (u, v) for vertices u and v in S. The geodetic number g(D) is the minimum cardinality among the

Geodetic metrizations of graphs
โœ Frank Rhodes; Robert A. Melter ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 665 KB

A graph can be metrized by assigning a length to each of its edges. Such a graph is said to be geodetic if for each pair of vertices there is a unique geodesic joining them. It is said to be normally geodetic if each of these unique geodesics is one of the geodesics in the usual metrization of the g

The recognition of geodetically connecte
โœ Jou-Ming Chang; Chin-Wen Ho ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 849 KB

Let G = ( y E) be a graph with vertex set V of size n and edge set E of size m. A vertex LJ E V is called a hinge vertex if the distance of any two vertices becomes longer after u is removed. A graph without hinge vertex is called a hinge-free graph. In general, a graph G is k-geodetically connected

Geodetic graphs of diameter two
โœ A. Blokhuis; A. E. Brouwer ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Springer ๐ŸŒ English โš– 365 KB

We survey what is known on geodetic graphs of diameter two and discuss the implications of a new strong necessary condition for the existence of such graphs.

The minumum geodetic communication overl
โœ J. Nieminen; M. Peltola ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

We develop further the communication overlap index of Hong and Zuo in the case where the points of the graph communicate with each other through shortest paths (geodesics) of the graph. The structure of the graphs with minimum geodetic communication index is described, the concept of geodetic connec