Math Flashcards
Closed
Must start and end at the same vertex
Walk
Any route taken through a network, including routes that repeat edges and vertices
Trail
A walk in which no edges are repeated
Cycle
A path beginning and ending at the same vertex
Closed Trail
A trail beginning and ending at the same vertex
Path
A walk in which no vertices are repeated, except possible the start and finish
Eulerian Graph
Is a connected graph which start at a vertex and travels each edge only and return to the vertex from which you started
Semi-Eulerian Graph
A connected graph which allows you to start at a vertex and travels each edge once without returning to the start
Hamiltonian Graph
A graph that has a path that includes every vertex exactly once, while ending at the initial vertex
Semi-Hamiltonian
A graph that includes every vertex exactly once but ends at a vertex other than starting one