If I do that however, the resulting Spanning Tree is not Minimum because there is the edge weight of 1 that can be used to lower the cost of connecting them instead of using edge weight of 2. …

Jan 13, 2013 · A minimum bottleneck spanning tree of a weighted graph G is a spanning tree of G such that minimizes the maximum weight of any edge in the spanning tree. A MBST is not …

May 15, 2025 · I would like to generate a minimum spanning tree for the following graph: I am using the disjoint set data structure and I am having trouble with the union (Union Rank) …

Minimum spanning tree is a tree in a graph that spans all the vertices and total weight of a tree is minimal. Shortest path is quite obvious, it is a shortest path from one vertex to another.

Jan 4, 2013 · 195 Prim's algorithm constructs a minimum spanning tree for the graph, which is a tree that connects all nodes in the graph and has the least total cost among all trees that …

Jul 10, 2016 · If in any of these cycles the maximum weighted edge exists multiple times, then the graph does not have a unique minimum spanning tree. My idea was that for a cycle like this …

May 24, 2014 · What algorithm can I use to find a minimum spanning tree on a directed graph? I tried using a modification of Prim's algorithm, but wasn't able to make it work.

Feb 14, 2011 · Does the opposite of Kruskal's algorithm for minimum spanning tree work for it? I mean, choosing the max weight (edge) every step? Any other idea to find maximum spanning …

(We can determine if a spanning tree is minimum just by computing any $\text {MST} (G)$ and comparing weights. This "reference" MST only needs to be computed once.)

In your visited array, you are only checking if you have visited it at one point but that is not the criteria to make a minimum spanning tree. For example, in your input I can pick edges {1,2,5}, …