The Single-Pair Shortest Path (SPSP) problem consists of finding the shortest path between a single pair of vertices. This problem is mostly solved using Dijkstra, though in this case a single result is kept and other shortest paths are discarded. We will use the following notations in the ...
Most of the problems of real life involve some sort of uncertainty in it among which, one of the famous problem is finding a shortest path of the network. In this paper, a new score function is proposed for interval valued neutrosophic numbers and SPP is solved using interval valued ...
works, and robotics. For example, computer network rout- ing protocols such as the widely used Open Shortest Path First (OSPF) protocol make use of these algorithms to min- imize the network traffic and transmission time [15]. The APSP is solved by the well-known Floyd-Warshall ...
Reconfiguring two shortest paths in a graph means modifying one shortest path to the other by changing one vertex at a time so that all the intermediate paths are also shortest paths. This problem has several natural applications, namely: (a) repaving road networks, (b) rerouting data packets...
Based on personal experience you solved a “shortest path” problem and selected a route, which goes through the side street. In both examples, the “shortest” route is determined in either distance or time required to get from one place to another. Traveling examples are very natural ...
Here, we consider the problem of counting the number of shortest paths between two nodes whose edges are weighted by their interaction probability. This problem has been solved on deterministic network topologies previously [32, 33]. However, the exponential growth of the number of deterministic ...
The shortest path problem is one of the classic network problems. The objective of this problem is to identify the least cost path through a network from a pre-determined starting node to a pre-determined terminus node. It has many practical applications and can be solved optimally via efficien...
When approaching a problem that might be solved with BFS, consider these steps: Identify BFS Applicability: Does the problem involve finding the shortest path in an unweighted graph, exploring levels or layers, or searching connected components? If so, BFS might be a good fit. Define the Gr...
One of each of the types of facilities must be visited, so there would be 5 total visits, and in this case, 5 facilities would not be visited as visiting them does not fall on the shortest path.Is this possible?It strikes me that this is like a travelling ...
#shortest-path#dijkstra-s-algorithm You are given a list of cities. Each direct connection between two cities has its transportation cost (an integer bigger than 0). The goal is to find the paths of minimum cost between pairs of cities. Assume that the cost of each path (which is the ...