Graphs and Networks (VCE SSCE General Mathematics): Flashcards
📚Flashcards
Practise the cards
10 cards from this deck
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Practise the cards
10 cards from this deck
Graph (mathematics)
Graph (mathematics)
Diagram showing connections between objects or people
Vertices in a graph
Vertices in a graph
Dots representing objects or people
Edges in a graph
Edges in a graph
Lines joining vertices together
Degree of a vertex
Degree of a vertex
Number of edges connected to that vertex
Degrees a loop contributes
Degrees a loop contributes
2 degrees (attaches to vertex twice)
Simple graph
Simple graph
No loops and no multiple edges between vertices
Connected graph
Connected graph
Every vertex can reach every other vertex
Planar graph
Planar graph
Graph that can be redrawn without edge crossings
Face in a planar graph
Face in a planar graph
Enclosed region bounded by edges
Euler's formula for planar graphs
Euler's formula for planar graphs
(vertices + faces = edges + 2)
