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
On the geodetic number of a graph
β Scribed by Gary Chartrand; Frank Harary; Ping Zhang
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 308 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0028-3045
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π SIMILAR VOLUMES
The interval number of a simple undirected graph G, denoted i(G), is the least nonnegative integer r for which we can assign to each vertex in G a collection of at most r intervals on the real line such that two distinct vertices u and w of G are adjacent if and only if some interval for u intersect
The interval number of a (simple, undirected) graph G is the least positive integer t such that G is the intersection graph of sets, each of which is the union of t real intervals. A chordal (or triangulated) graph is one with no induced cycles on 4 or more vertices. If G is chordal and has maximum
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