Path between two nodes in a undirected graph. Whenever backtracking occurs pop the node from the stack.
Path between two nodes in a undirected graph. You are also given a 0-indexed 2D integer array edges, where each edges[j] = [uj, vj, timej] indicates that there is an undirected edge between Oct 6, 2025 · The algorithm will generate the shortest path from node 0 to all the other nodes in the graph. Example: Input : Below shown Tree using adjacency list representation: Output : 5 In below tree longest path is of length 5 from node 5 to node 7 This problem is the same as the diameter of the n-ary tree. Say I have nodes connected in the below fashion, how do I arrive at the number of paths that exist between given points, and path details? 1,2 //node 1 and 2 are connected 2,3 2,5 4,2 5,11 11,12 6 Jul 15, 2025 · Prerequisites: BFS for a Graph Dictionaries in Python In this article, we will be looking at how to build an undirected graph and then find the shortest path between two nodes/vertex of that graph easily using dictionaries in Python Language. Mar 19, 2015 · What I'm gonna prove is that the time complexity to enumerate all simple paths between two selected and distinct nodes (say, s and t) in an arbitrary graph G is not polynomial. Find Edges in Shortest Paths - You are given an undirected weighted graph of n nodes numbered from 0 to n - 1. Have one master function that takes the source and destination as arguments and one recursive function that takes a node, the current path, and a list of found paths as arguments. We need to find the maximum length of cable between any two cities for given city map. I am mostly split between Dijkstra's with heaps, which I would normally use if the graph was weighted, and breath-first search. It recursively builds paths, stores them when the destination is reached, and backtracks to explore alternative routes. (Or equivalently a simple cycle through any two vertices. Even though there's clearly just one simple path from A to B, a naïve DFS will waste O (n!) time uselessly exploring the clique. Sep 12, 2008 · For example, consider an undirected graph where the starting node A has two neighbors: the goal node B (which has no neighbors other than A), and a node C that is part of a fully connected clique of n + 1 nodes. Whenever backtracking occurs pop the node from the stack. Apr 16, 2019 · An undirected graph is biconnected if for every pair of vertices v and w, there are two vertex-disjoint paths between v and w. Here Jul 12, 2025 · The idea is to run DFS from the source node and push the traversed nodes into a stack till the destination node is traversed. What kind of approach would May 31, 2016 · 3 I have a certain subset of nodes of an undirected and unweighted graph. I am trying to determine whether there is a path between all of these nodes, and, if there is, what is the shortest path which includes the fewest nodes which are not in the subset of nodes. In the recursive function, add the current node to the current path, then check if the node and the target match Jul 15, 2025 · Given an undirected and unweighted graph and two nodes as source and destination, the task is to print all the paths of the shortest length between the given source and destination. In the master function, initialize an empty list and path and start the recursion on the source node. ) therefore having a single algorithm that Jul 23, 2025 · The main idea uses DFS to explore all paths from the source to the destination in a directed graph. In order to retrieve the shortest path from the origin to a node, you need to maintain two items for each node in the graph: its current shortest distance, and the preceding node in the shortest path. It turns out this problem can be solved efficiently. Suppose that an n-node undirected graph G = (V, E) contains two nodes s and t such that the distance between s and t is strictly greater than n/2. Initially all distances are set to infinity, and all predecessors are set to empty. Apr 19, 2012 · Here is the exercise: Let v and w be two vertices in a directed graph G = (V, E). In this post, an efficient Sep 12, 2018 · I have an undirected graph and i want to list all possible paths from a starting node. com One such scenario involves finding all the minimum paths between two nodes in an undirected weighted graph. Notice that that after processing each node we are not marking them as "visited" because our goal is to find all paths between two nodes, so an already visited node can be visited again if that constitutes an unique path between the two nodes. Building a Graph using Dictionaries Approach: The idea is to store the adjacency list into the dictionaries, which helps to store the graph in any format I have an undirected, unweighted graph, and I'm trying to come up with an algorithm that, given 2 unique nodes on the graph, will find all paths connecting the two nodes, not including cycles. Dec 17, 2011 · Can anybody give me a C Code to find all possible paths between two nodes? eg. I am interested in finding all possible paths (without cycles) between specific two nodes with limited number of edg 100 I have a undirected graph with about 100 nodes and about 200 edges. More precisely, given an undirected graph (no lengths) G = (V; E) with jV j = n and jEj = m, and two vertices v; w 2 V , suggest an algorithm that outputs the number Nov 10, 2014 · I have unweighted directed graph G which maybe very large (thousands of nodes). You are given a 0-indexed integer array values where values[i] is the value of the ith node. The graph consists of m edges represented by a 2D array edges, where edges [i] = [ai, bi, wi] indicates that there is an edge between nodes ai and bi with weight wi. 5 I need help with this problem that I'm currently working on, which involves finding a node v in an undirected graph that, when removed, will destroy all paths between two other nodes s and t. For this graph, we will assume that the weight of the edges represents the distance between two nodes. if the graph has following edges 1-2 1-3 2-3 2-4 3-4 all paths between 1 and 4 are: In social networks analysis it is sometimes useful to find not only the distance between two vertices in a graph or a shortest path between them, but the number of such paths. ) Dec 17, 2011 · Can anybody give me a C Code to find all possible paths between two nodes? eg. We have discussed a simple solution here. This self-contained guide will walk you through the complexities of this Jul 11, 2025 · Given an unweighted, undirected graph of V nodes and E edges, a source node S, and a destination node D, we need to find the shortest path from node S to node D in the graph. if the graph has following edges 1-2 1-3 2-3 2-4 3-4 all paths between 1 and 4 are: Oct 17, 2016 · 0 I am looking for the most efficient algorithm, according to the Big O Notation, to find the shortest path between two nodes in an unweighted directed graph. I need to find the shortest path through this graph that starts at 'start', ends at 'end', and passes through all of the 'mustpass' nodes (in any order). Below is the implementation of the above approach: This MATLAB function returns all paths in graph G that start at source node s and end at target node t. Design a linear-time algorithm to find the number of different shortest paths (not necessarily vertex disjoint) b. It's important to note that, in general, we use "visited" flag to avoid visiting an already visited node again and again, we use "visiting" flag to Jul 23, 2025 · What are the Shortest Path Algorithms? The shortest path algorithms are the ones that focuses on calculating the minimum travelling cost from source node to destination node of a graph in optimal time and space complexities. Input : n = 6 1 2 3 // Cable length from 1 to 2 (or 2 to 1) is 3 2 3 4 2 6 2 6 4 6 6 5 5 Output: maximum length of cable = 12 Method 1 (Simple DFS): We create undirected graph for given Can you solve this real interview question? Maximum Path Quality of a Graph - There is an undirected graph with n nodes numbered from 0 to n - 1 (inclusive). Types of Shortest Path Algorithms: As we know there are various types of graphs (weighted, unweighted, negative, cyclic, etc. Jul 15, 2025 · Given an undirected graph with N vertices and E edges and two vertices (U, V) from the graph, the task is to detect if a path exists between these two vertices. Jul 23, 2025 · Given an undirected tree, we need to find the longest path of this tree where a path is defined as a sequence of nodes. See full list on baeldung. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. Note: There should be a path between the given pair of nodes. Each connection between 2 nodes is unique in a listed path is unique, for example give this graph representat Dec 27, 2017 · Given a undirected graph with vertices form 0 to n-1, write a function that will find the longest path (by number of edges) which vertices make an increasing sequence. Jul 23, 2025 · We are given a map of cities connected with each other via cable lines such that there is no cycle between any two cities. One node is labelled 'start', one is 'end', and there's about a dozen labelled 'mustpass'. povxpcvvupaeyu0c1qrj2k08tkliwgnyksfuurhgpuznr