How do you find the maximum distance between two nodes on a graph?

For example: N = 8 ( Number of nodes) subset of nodes = [2,4,5,6] Graph: 7 | 6–1–2–8 | 3–4 | 5 Solution Maximum distance: Pairs (2,4) : 2-1-3-4 => distance 3 (6,5) : 6-1-3-5 => distance 3 max distance = 3+3 = 6 It’s possible to form other pairs but max distance will always comes out to 6.

How do you find a node in graph which is reachable from every other node in graph?

A simple brute force answer: Do a BFS or DFS starting from each node of the graph and store every node it visited in an array. At the end, check the visited array from each starting node and you can see which nodes were able to connect to every other node and which weren’t. You can use Floyd -Warshall algorithm in .

Which algorithm helps to find the shortest path in an unweighted graph?

BFS
We say that BFS is the algorithm to use if we want to find the shortest path in an undirected, unweighted graph. The claim for BFS is that the first time a node is discovered during the traversal, that distance from the source would give us the shortest path.

Which method finds the shortest path between two nodes more efficiently if in an undirected graph all edges have the same weight?

The idea is to use BFS . One important observation about BFS is, the path used in BFS always has least number of edges between any two vertices. So if all edges are of same weight, we can use BFS to find the shortest path.

How do you find the maximum distance between two nodes in a tree?

The distance between two nodes can be obtained in terms of lowest common ancestor. Following is the formula. Dist(n1, n2) = Dist(root, n1) + Dist(root, n2) – 2*Dist(root, lca) ‘n1’ and ‘n2’ are the two given keys ‘root’ is root of given Binary Tree.

How do you find the reachable node on a graph?

2 Answers. This can be done by first finding Strongly Connected Components (SCC), which can be done in O(|V|+|E|) . Then, build a new graph, G’ , for the SCCs (each SCC is a node in the graph), where each node has value which is the sum of the nodes in that SCC.

How do I know if a node is reachable?

To find if there is a path from node u to node v, check the matrices (starting from M^1 and going to M^n) and examine the value at (u, v) in each matrix. If, for any of the matrices checked, that value is greater than zero, you can stop the check because there is indeed a connection.