Graphs and Networks (AQA A-Level Further Maths): Quizzes

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Graphs and Networks
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What is a simple graph?

A graph with no loops and no multiple edges

What determines if two graphs are isomorphic?

Which vertices are connected to which

A vertex has 3 normal edges and 1 loop. What is its degree?

5

What does K5K_5 represent?

Complete graph with 5 vertices

A graph has 12 edges. What is the total of all vertex degrees?

24

In a bipartite graph, where can edges connect?

Only between the two distinct vertex sets

A planar graph has V=7V = 7, E=9E = 9. How many faces FF does it have?

4

In an adjacency matrix, what does entry (i,j) represent?

Number of edges from vertex i to vertex j

How do you find complement G′G' from adjacency matrix of GG?

Swap 0s and 1s (except diagonal)

When must a network satisfy the triangle inequality?

When weights represent straight-line distances

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