Paths with minimum range and ratio of arc lengths
โ Scribed by Pierre Hansen; Giovanni Storchi; Tsevi Vovor
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 866 KB
- Volume
- 78
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
โฆ Synopsis
Two new path problems in graphs are studied: MINRANGE, i.e., find a path from a vertex s to a vertex 1 with the smallest possible range of arc lengths. and MINRATIO, i.e., find such a path for which the ratio of the largest to the smallest arc length is minimum. Several bicriterion extensions of these problems are also considered.
๐ SIMILAR VOLUMES
## Abstract In this work, we compute the distribution of __L__\*, the length of a shortest __(s, t)__ path, in a directed network __G__ with a source node __s__ and a sink node __t__ and whose arc lengths are independent, nonnegative, integer valued random variables having finite support. We constr
For a graph G, let ' 2 (G ) denote the minimum degree sum of a pair of nonadjacent vertices. We conjecture that if |V(G)| n i 1 k a i and ' 2 (G ) ! n k ร 1, then for any k vertices v 1 , v 2 , F F F , v k in G, there exist vertex-disjoint paths P 1 , P 2 , F F F , P k such that |V (P i )| a i and v