Advanced Graph Algorithm Analyzer

Complete Data Structure Implementation with Performance Analytics

Graph Configuration

25
0.3

Algorithm Selection

500ms

Data Structures

Adjacency List: 25
Adjacency Matrix: 25²
Edge List: 77
Priority Queue: 0
Union-Find: 25

Performance Metrics

Time Complexity: O(V + E)
Space Complexity: O(V)
Execution Time: 12692ms
Operations Count: 25
Memory Usage: 3KB

Graph Visualization

0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24

Algorithm Steps

1. All nodes marked as completed!
Progress: 100%

Adjacency List Structure

0: [10(1), 15(9), 14(1), 16(2), 8(3), 22(10), 24(3), 2(2), 1(7), 4(9), 6(2)]
1: [2(1), 12(1), 17(6), 18(2), 10(7), 3(5), 22(10), 0(7), 21(5)]
2: [21(10), 1(1), 13(1), 18(2), 20(6), 6(10), 10(8), 4(6), 12(9), 3(4), 15(4), 22(2), 0(2)]
3: [9(6), 8(8), 24(8), 1(5), 18(3), 2(4), 19(4)]
4: [24(5), 11(5), 2(6), 7(2), 0(9)]
5: [19(3), 11(4), 24(5)]
6: [2(10), 16(4), 15(9), 21(7), 0(2), 12(9)]
7: [11(5), 4(2), 8(4)]
8: [18(8), 22(1), 3(8), 0(3), 7(4), 15(4), 17(2)]
9: [24(2), 3(6), 20(4), 15(6), 13(10), 10(9)]
10: [0(1), 11(8), 2(8), 1(7), 9(9), 13(5)]
11: [22(4), 10(8), 4(5), 7(5), 5(4), 13(9), 19(9), 17(9)]
12: [1(1), 17(4), 2(9), 19(5), 22(7), 6(9)]
13: [15(1), 2(1), 11(9), 24(5), 9(10), 10(5)]
14: [0(1), 15(5), 21(2)]
15: [0(9), 13(1), 9(6), 14(5), 2(4), 21(4), 8(4), 6(9)]
16: [0(2), 6(4), 19(2)]
17: [22(6), 1(6), 12(4), 8(2), 11(9)]
18: [8(8), 21(1), 2(2), 1(2), 19(3), 3(3)]
19: [5(3), 16(2), 18(3), 11(9), 20(6), 12(5), 3(4)]
20: [2(6), 9(4), 19(6), 24(10)]
21: [2(10), 18(1), 14(2), 15(4), 1(5), 6(7)]
22: [11(4), 8(1), 17(6), 0(10), 1(10), 2(2), 12(7)]
23: [24(8)]
24: [4(5), 9(2), 3(8), 5(5), 0(3), 13(5), 20(10), 23(8)]

Complexity Analysis

DFS Analysis

Depth-First Search explores as far as possible along each branch before backtracking.

Time Complexity: O(V + E)
Space Complexity: O(V)
Operations: 25

Advanced Operations