Minimum Spanning Tree: What exactly is the Cut Property?
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. When the …
When is the minimum spanning tree for a graph not unique
Jul 10, 2016 · Given a weighted, undirected graph G: Which conditions must hold true so that there are multiple minimum spanning trees for G? I know that the MST is unique when all of the weights are …
Finding a minimum spanning tree on a directed graph
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.
Minimum spanning tree vs Shortest path - Computer Science Stack …
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.
graphs - Minimal Spanning Tree vs Minimum Spanning Tree
Mar 2, 2021 · Where did you encounter "minimal spanning tree" and "minimal edge"? This statement doesn't mention them. Minimum here means a global minimum: a tree/edge with the smallest weight …
How is a minimum bottleneck spanning tree different from a minimum ...
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 necessarily a …
What's the difference between Minimmum Spanning Tree and …
Nov 7, 2021 · The Minimum Spanning Tree problem asks you to build a tree that connects all cities and has minimum total weight, while the Travelling Salesman Problem asks you to find a trip that visits all …
Kruskal's Algorithm Minimum Spanning Tree (Disjoint Set data …
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) operation. The edges …
minimum spanning tree - MST with degree constraints on some node ...
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Difference between Prim's and Dijkstra's algorithms?
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 connect all the …