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Kruskal's Algorithm Visualization

Kruskal's Algorithm Visualization
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2018-10-02 04:48
OptimizationGeometric ConstructionGraphing
In collections Matrices & MST Algorithms
This example visually demonstrates Kruskal's algorithm for constructing a minimum spanning tree. It involves core math concepts like graph theory, minimum spanning trees, and greedy algorithms. Construction highlights include using GeoGebra commands like ConstructionStep, Segment, and MinimumSpanningTree to create vertices, edges, and the minimum spanning tree. Suitable for high school students and learners interested in graph theory algorithms.

GeoGebra Commands & Parameters

  1. ConstructionStep() → stap
  2. Segment(A, F) → f
  3. Segment(A, B) → g
  4. Segment(A, E) → h
  5. Segment(B, C) → i
  6. Segment(B, E) → j
  7. Segment(E, C) → k
  8. Segment(C, D) → l
  9. Segment(F, B) → m
  10. Segment(C, G) → n
  11. Segment(A, G) → p
  12. Segment(G, D) → q
  13. Segment(E, G) → r
  14. MinimumSpanningTree({A, B, C, D, E, F, G}) → grafiek1
  15. Segment(A, E) → s
  16. Segment(B, E) → t
  17. Segment(F, A) → a
  18. Segment(E, C) → b
  19. Segment(C, D) → c
  20. Segment(A, G) → d

AI Drawing Prompt Reference

Visualize Kruskal's algorithm for constructing a minimum spanning tree with multiple vertices and connecting edges. Highlight a subset of edges that form the minimum spanning tree, while the rest show the algorithm's steps. Start by drawing all possible edges between vertices, then emphasize the minimum spanning tree edges, and finally sequentially highlight each step's added edge to illustrate the greedy approach of the algorithm.
The prompt above was compiled from the original drawing commands and is for reference only.