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Weighted Graph Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Weighted Graph Setup

Weighted Graph Operations

Graph Visualization

Operation Steps

How to Use

  1. Add Node: Enter a label and click "Add Node"
  2. Add Edge: Enter source, destination, and weight, then click "Add Edge"
  3. Random Weighted Graph: Click to instantly generate a weighted graph
  4. Remove Node/Edge: Enter node or edge and click remove
  5. Edge Count / Total Weight: Click to count edges or sum weights
  6. Reset: Click to clear the graph

Weighted Graph Concept

Weighted Graph is a graph where each edge has an associated numerical value (weight), representing cost, distance, or capacity.

Key Characteristics:

  • Edges have weights (numbers)
  • Used in shortest path, network flow, and optimization problems
  • Common in transportation, networking, and logistics

Purpose & Applications

  • Shortest path algorithms (Dijkstra, Bellman-Ford)
  • Network routing and flow
  • Resource allocation
  • Modeling costs/distances

Strengths & Limitations

Strengths:

  • Models real-world costs and distances
  • Enables advanced algorithms

Limitations:

  • More complex than unweighted graphs
  • Requires careful handling of weights

Time & Space Complexity

Operation Time Complexity Space Complexity
Add Node O(1) O(V+E)
Add Edge O(1) O(1)
Remove Node O(E) O(V+E)
Remove Edge O(E) O(1)
Edge Count O(1) O(1)
Total Weight O(E) O(1)

Weighted Graph Code Implementation

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