Oriented diameter of graphs with diameter 3
β Scribed by Peter K. Kwok; Qi Liu; Douglas B. West
- Book ID
- 108167475
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 226 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0095-8956
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## Abstract The oriented diameter of a bridgeless connected undirected (__bcu__) graph __G__ is the smallest diameter among all the diameters of strongly connected orientations of __G__. We study algorithmic aspects of determining the oriented diameter of a chordal graph. We (a) construct a linearβ
A graph is called a generalized S-graph if for every vertex v of G there exists exactly one vertex which is more remote from v than every vertex adjacent to v. A generalized S-graph of diameter 3 is called reducible if there is a pair of diametrical vertices v and t~ such that G-{u, ~} is also a gen
Let G be a bridgeless connected undirected (b.c.u.) graph. The oriented diameter of G, OD(G), is given by OD(G)=min{diam(H ): H is an orientation of G}, where diam(H ) is the maximum length computed over the lengths of all the shortest directed paths in H . This work starts with a result stating tha