The slide includes Floyd Warshall Algorithm details

1. INTRODUCTION
The Floyd Warshall Algorithm is for solving the all
pairs shortest path problem. It helps to find shortest
distances between every pair of vertices in a given
edge weighted directed Graph.

2. COMPONENTS
1. Java FX
2. Additional Library – Jfoenix
3. CSS – Cascading Style Sheet

3. COMPONENTS
1. Floyd Warshall
2. FXML Document
3. Category Chooser
4. Vertex and Edges
5. Manual Input
6. Table Viewer
7. Graph Viewer

4. CLASS DIAGRAM
Floyd Warshall
Main Window Matrix InputManual Input
Category Chooser Table RepresentationGraph Representation
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5. CHALLENGES
1. Graphical Representation of Graph
2. Vertex and Edge Positioning
3. Finding Shortest Path
4. Automated Simulation
5. Table Coloring

6. HOW IT WORKS?
A B C
A
B
C
Path
Sequence
Initial Step
Graph
A B C
A
B
C

7. A B C
A B C
A
B
C
A
B
C
Path
Step 1
Step 2
Path Sequence
Sequence
A B C
A
B
C
A
B
C
A B C
D(ij)> D(ik)+D(kj)

8. A
B
C
A B C
Path Sequence
A B C
A
B
C
Step 3

9. ADVANTAGES & DISADVANTAGES
Advantages:
1. Shortest Path
2. Easy to Modify
3. Single execution to find out length
Disadvantages:
1. O(n^3)