GRAPH THEORY

▸ Placing the vertices…
▸ Connecting edges & counting degrees
▸ Loading the Seven Bridges of Königsberg
▸ Calibrating Euler · BFS/DFS · coloring
▸ Building the spanning tree & bipartite graph
▸ Ready — Online. ✅
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⌂ Mathematics

Simulation room Graph theory

Graph Theory
Online
V · E · degree · Euler
Structure & metrics
🕸️ Sample graph
number of odd-degree vertices
Vertices |V|
Edges |E|
Odd-degree vertices
Maximum degree
Eulerian path?
Colors (χ)
Tip
Each dot is a vertex, each line is an edge. The number on a vertex\'s shoulder = its degree (green = even, red = odd). Traversing every edge \"in one stroke\" (an Eulerian path) is only possible with 0 or 2 odd-degree vertices.
Click a vertex to see its degree · pick a scenario on the right to run an algorithm
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|V| · |E| · odd-degree vertex count over time |E||V|odd vertices