Multi-Path Algorithms for minimum-colour path problems with applications to approximating barrier resilience
نویسندگان
چکیده
منابع مشابه
Succinct Indices for Path Minimum, with Applications to Path Reporting
In the path minimum query problem, we preprocess a tree on n weighted nodes, such that given an arbitrary path, we can locate the node with the smallest weight along this path. We design novel succinct indices for this problem; one of our index structures supports queries in O(α(m,n)) time, and occupiesO(m) bits of space in addition to the space required for the input tree, where m is an intege...
متن کاملALGORITHMS FOR BIOBJECTIVE SHORTEST PATH PROBLEMS IN FUZZY NETWORKS
We consider biobjective shortest path problems in networks with fuzzy arc lengths. Considering the available studies for single objective shortest path problems in fuzzy networks, using a distance function for comparison of fuzzy numbers, we propose three approaches for solving the biobjective prob- lems. The rst and second approaches are extensions of the labeling method to solve the sing...
متن کاملMinimum cost path problems with relays
The Minimum Cost Path Problem with Relays (MCPPR) consists of finding a minimum cost path from a source to a destination, along which relay nodes are located at a certain cost, subject to a weight constraint. This paper first models the MCPPR as a particular bicriteria path problem involving an aggregated function of the path and relay costs, as well as a weight function. A variant of this prob...
متن کاملalgorithms for biobjective shortest path problems in fuzzy networks
we consider biobjective shortest path problems in networks with fuzzy arc lengths. considering the available studies for single objective shortest path problems in fuzzy networks, using a distance function for comparison of fuzzy numbers, we propose three approaches for solving the biobjective prob- lems. the rst and second approaches are extensions of the labeling method to solve the sing...
متن کاملcient Algorithms for the Minimum Shortest Path
Given an undirected graph G = (V;E) with positive edge weights (lengths) w : E ! < + , a set of terminals (sinks) N V , and a unique root node r 2 N , a shortest-path Steiner arborescence (simply called an arborescence in the following) is a Steiner tree rooted at r spanning all terminals in N such that every sourceto-sink path is a shortest path in G. Given a triple (G;N; r), the MinimumShorte...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2014
ISSN: 0304-3975
DOI: 10.1016/j.tcs.2014.04.009