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I stumbled across this because I was researching what the most efficient way of implementing our FruxelGrid was. In this StackOverflow answer I got pointed to graph theory.

7 Bridges of Königsberg !Pasted image 20231023150710.png

Definitions

Definition Meaning
Node / Vertex The object doing some work
Edge Path between two Nodes
Node degree Number of edges that touch the node / vertex
Graph Combination of Nodes and Vertices / Nodes
Eulerian Graph Exactly zero or two nodes have an odd degree

Rules

  1. Exactly zero or two vertices can have an odd (=uneven) degree

Implementation in C++

  1. direct Translation of the Definition: create a std::vector for a list of vertices and a list of edges. The edges themselves are represented as a std::pair
  2. Adjacency List
  3. Adjacency Matrix

!Pasted image 20231023154352.png