algorithmShortestCycle(G, node, parent, d, depth):// INPUT// G = the adjacency list of the graph// node = the current node// parent = the parent of the current node// d = the current depth in the DFS traversal// depth = the array storing the depth of each visited node// OUTPUT...
graph algorithmsGiven an edge-weighted undirected graph G and two prescribed vertices u and v, a next-to-shortest (u, v)-path is a shortest (w, v)-path amongst all (u, v)-paths having length strictly greater than the length of a shortest (u, v)-path. In this paper, we deal ...
Let P G ( r , s ) denote a shortest path between two nodes r and s in an undirected graph G with nonnegative edge weights. A detour at a node u P G ( r , s ) = 〈 r ,…, u , v ,…, s 〉 is defined as a shortest path P G e ( u , s ) from u to s which ...
摘要: The Floyd algorithm is used to find shortest paths in a graph or network. In present article I present full Matlab codes of the Floyd algorithm for using in the studies of network pharmacology. As an example, it is used to find shortest paths in a tumor pathway.被引量: 2 ...
in fact, is a connected, acyclic undirected graph. Figure 14.1 shows an example of two graphs, only one of which is a tree: don’t worry if you are not sure which one, in this chapter we’ll take a closer look at the meaning of those properties in the definition of trees, and the...
You are given a directed or undirected weighted graph with n vertices and m edges. The weights of all edges are non-negative. You are also given a starting vertex s . This article discusses finding the lengths of the shortest paths from a starting vertex ...
In an undirected, 2-node connected graph G=(V,E) with positive real edge lengths, the distance between any two nodes r and s is the length of a shortest path between r and s in G. The removal of a node and its incident edges from G may increase the distance from r to s. A mo...
Let G = (V, E) be a connected, weighted, undirected graph such that |V| = n and |E| = m. Given a shortest path Pg(s, t) between a source node s and a sink node t in the graph G, computing the shortest path between source and sink without using a particular edge (or a ...
challenge is basically a well-known problem of thechinese postman, called after Chinese mathematician Kuan Mei-Ko. (Also known asPostman TourorRoute Inspection Problem) The problem is to find the shortest closed path (or circuit) such that visits every edge of a (closed and undirected) graph....
However, these algorithms have various advantages and disadvantages, they are easy to implement, but the DC method considers a single factor which resulting in inaccurate results, the BC and CC methods have higher time complexity to collect the shortest path information, the EC method has the ...