Results 11 to 20 of about 550,853 (271)
A Simpler and More Efficient Algorithm for the Next-to-Shortest Path Problem [PDF]
Given an undirected graph $G=(V,E)$ with positive edge lengths and two vertices $s$ and $t$, the next-to-shortest path problem is to find an $st$-path which length is minimum amongst all $st$-paths strictly longer than the shortest path length.
Bang Ye Wu
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Interval Type 2 Fuzzy Set in Fuzzy Shortest Path Problem
The shortest path problem (SPP) is one of the most important combinatorial optimization problems in graph theory due to its various applications. The uncertainty existing in the real world problems makes it difficult to determine the arc lengths exactly.
Arindam Dey, Anita Pal, Tandra Pal
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Shortest Path from Bandar Tun Razak to Berjaya Times Square using Dijkstra Algorithm
The shortest path is an issue that involves the route from one point (nodes) to another. It is to find a path with a minimum travelling time. Nowadays, traffic problems have affected many transport users especially in Kuala Lumpur area.
Nur Syuhada Muhammat Pazil+2 more
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An Effective Genetic Algorithm for Solving the Clustered Shortest-Path Tree Problem
The clustered shortest-path tree problem (CluSPTP) is an extension of the classical single-source shortest-path problem, in which, given a graph with the set of nodes partitioned into a predefined, mutually exclusive and exhaustive set of clusters, we ...
Ovidiu Cosma+2 more
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A Novel Method for Solving Multi-objective Shortest Path Problem in Respect of Probability Theory
Transportation process or activity can be considered as a multi-objective problem reasonably. However, it is difficult to obtain an absolute shortest path with optimizing the multiple objectives at the same time by means of Pareto approach. In this paper,
Maosheng Zheng, Jie Yu
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A Pathfinding Problem for Fork-Join Directed Acyclic Graphs with Unknown Edge Length
In a previous paper by the author, a pathfinding problem for directed trees is studied under the following situation: each edge has a nonnegative integer length, but the length is unknown in advance and should be found by a procedure whose computational ...
Kunihiko Hiraishi
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Analysis of Dijkstra’s Algorithm and A* Algorithm in Shortest Path Problem
Finding the shortest path in direction effective is essential. To solve this shortest path problem, we usually using Dijkstra or A* algorithm. These two algorithms are often used in routing or road networks. This paper’s objective is to compare those two
D. Rachmawati, Lysander Gustin
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TD-H2H: Shortest Path Query on Time-Dependent Graphs [PDF]
A shortest path query on road networks is a fundamental problem, which has been studied widely. Existing studies usually model road networks as a static graph and query the path with the shortest distance between given vertices.
LI Xinling, WANG Yishu, YUAN Ye, GU Xiang, WANG Guoren
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On Dynamic Shortest Paths Problems [PDF]
We obtain the following results related to dynamic versions of the shortest-paths problem: Reductions that show that the incremental and decremental single-source shortest-paths problems, for weighted directed or undirected graphs, are, in a strong sense, at least as hard as the static all-pairs shortest-paths problem.
Uri Zwick, Liam Roditty
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A spectral approach to the shortest path problem [PDF]
Let $G=(V,E)$ be a simple, connected graph. One is often interested in a short path between two vertices $u,v$. We propose a spectral algorithm: construct the function $ϕ:V \rightarrow \mathbb{R}_{\geq 0}$ $$ ϕ= \arg\min_{f:V \rightarrow \mathbb{R} \atop f(u) = 0, f \not\equiv 0} \frac{\sum_{(w_1, w_2) \in E}{(f(w_1)-f(w_2))^2}}{\sum_{w \in V}{f(w)^2}}.
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