Comparing MST Algorithms Simplified Revision Notes for A-Level Edexcel Further Maths Decision Maths 1

Revision notes with simplified explanations to understand Comparing MST Algorithms quickly and effectively.

Learn about Minimum Spanning Trees for your A-Level Further Maths Decision Maths 1 Exam. This Revision Note includes a summary of Minimum Spanning Trees for easy recall in your Further Maths Decision Maths 1 exam

221+ students studying

10.3.4 Comparing MST Algorithms

Introduction to the Minimum Spanning Tree Problem

A minimum spanning tree (MST) is a subset of edges in a connected, weighted graph that connects all vertices with the minimum possible total weight and no cycles. MSTs are widely used in network design, such as optimizing electrical grids, communication networks, or road systems.

Two key algorithms for solving MST problems are Prim's Algorithm and Kruskal's Algorithm.

Comparison: Prim vs. Kruskal

Aspect	Prim's Algorithm	Kruskal's Algorithm
Approach	Grows a connected MST from a single vertex.	Adds smallest edges, ensuring no cycles.
Graph Representation	Works well with adjacency matrices.	Works well with edge lists.
Efficiency	$O(v^2)$ (matrix), $O(e \log v)$ (heap).	$O(e \log e)$ (edge sorting dominates).
Use Case	Dense graphs or pre-sorted weight matrices.	Sparse graphs or edge-heavy graphs.
Cycle Detection	Implicit (grows a tree).	Explicit (uses disjoint sets/union-find).

500K+ Students Use These Powerful Tools to Master Comparing MST Algorithms For their A-Level Exams.

Enhance your understanding with flashcards, quizzes, and exams—designed to help you grasp key concepts, reinforce learning, and master any topic with confidence!

40 flashcards

Flashcards on Comparing MST Algorithms

Revise key concepts with interactive flashcards.

Try Further Maths Decision Maths 1 Flashcards

4 quizzes

Quizzes on Comparing MST Algorithms

Test your knowledge with fun and engaging quizzes.

Try Further Maths Decision Maths 1 Quizzes

29 questions

Exam questions on Comparing MST Algorithms

Boost your confidence with real exam questions.

Try Further Maths Decision Maths 1 Questions