Abstract
In this paper we consider the shortest path improvement problems under Hamming distance (SPIH) where the weights of edges can be modified only within given intervals. Two models are considered: the general SPIH problem and the SPIH problem with a single pair of required vertices. For the first problem we show that it is strongly NP-hard. For the second problem we show that even if the network is a chain network it is still NP-hard.
Original language | English |
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Pages (from-to) | 351-361 |
Number of pages | 11 |
Journal | Journal of Combinatorial Optimization |
Volume | 12 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Dec 2006 |
Keywords
- Hamming distance
- NP-hard
- Shortest path problem
ASJC Scopus subject areas
- Computer Science Applications
- Discrete Mathematics and Combinatorics
- Control and Optimization
- Computational Theory and Mathematics
- Applied Mathematics