Minimum Spanning Tree Algorithmic Practice Problems
Problem A: Road Construction
Description
There are n initially isolated cities. In each round, every city connects to its nearest neighbor. If a cycle formss during a round, the shortest edge in that cycle is removed. Once cities are connected, they form a "union" and act as a single entity in subsequent rounds. The process continues ...
Posted on Fri, 15 May 2026 17:29:52 +0000 by peter.t
Implementing Prim's Algorithm for Minimum Spanning Trees with Road Construction Problem Solution
Prim's Algorithm for Minimum Spanning Trees
Prim's algorithm utilizes a distance array where dist[j] represents the shortest distance from node j to the current connected component. The process begins by selecting an arbitrary starting node and initializing distances to all other nodes.
Algorithm Steps:
Initialize all distances to infinity exc ...
Posted on Sat, 09 May 2026 19:21:43 +0000 by paulieo10