Questions tagged [shortest-path]

Questions about the algorithmic problems of finding shortest paths between nodes in a graph.

98 questions
476 views

Optimal meeting point in directed graph

Let $G(V, E)$ be a edge-weighted directed connected graph and $v_1, \dots, v_n \in V$ be some vertices. Let $d(a, b)$ denote the length of the shortest path from $a$ to $b$, for $a,b \in V$. I need ...
242 views

79 views

Shortest route through ordered points

My algorithm-fu is really weak and I do not know how to express following problem in terms of any other problem known to me: Given a small rectilinear grid and coordinates of four cells in this grid (...
56 views

IP algorithm for finding path in graph

Suppose for each positive integer $N$, we have a graph $G_N$ with $N$ vertices labelled $1$ to $N$ (so $\log N$ bits are required to specify a vertex). Suppose we have a PSPACE algorithm to determine ...
31 views

Generating flight path for aerial photography

I need to generate the shortest possible path for aerial photography using a fixed wing unmanned air vehicle (UAV). The image below shows the area I'm going to search. The white cells are the cells I ...
297 views

Algorithm - True shortest path for triangulated 3d-surface

I need to find true shortest path between two points. true means that shortest path can be laid both through the vertices, and through the edges. Input Set of triangles, given by coordinates of 3D-...
219 views

51 views

Pathfinding when the graph varies over time

Let's say I want to simulate a very large number of travelers booking flights. For example, a traveler might want to fly from New York to New Delhi. There's no direct flight from New York to New Delhi,...