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Perplex
Perplex
  • Dashboard
Topics
Exponents & LogarithmsRounding & ErrorSequences & SeriesFinancial MathematicsMatricesComplex Numbers
Cartesian plane & linesFunction TheoryModellingTransformations & asymptotes
2D & 3D GeometryVoronoi DiagramsTrig equations & identitiesVectorsGraph Theory
ProbabilityDescriptive StatisticsBivariate StatisticsDistributions & Random VariablesInference & Hypotheses
DifferentiationIntegrationDifferential Equations
Paper 3
Plus
Calculator Skills
Review VideosFormula BookletAll Study Sets
BlogLanding Page
Sign UpLogin
Perplex
IB Math AIHL
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Graph Theory
/
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Graph Theory

Graph terminology and structure, including directed and weighted graphs, connectivity, walks/trails/paths/cycles, trees and spanning trees, adjacency matrices, Eulerian and Hamiltonian graphs, and optimization algorithms such as Prim's, Kruskal's, the Chinese postman problem and the traveling salesman problem.

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Concepts

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Foundations of Graphs

Graph Theory

Graphs as vertex-edge networks: terminology for vertices, edges and self-edges; adjacent vertices and edges; degree of a vertex; simple, complete and connected graphs; directed graphs with in-degree and out-degree; strongly connected graphs; and weighted graphs.

Thumbnail for Foundations of Graphs

0/5 key exercises

Adjacency matrices & walks

Graph Theory

0/6 key exercises

Subgraphs, Trees and MSTs

Graph Theory

0/3 key exercises

Eulerian Graphs

Graph Theory

0/2 key exercises

Chinese Postman Problem

Graph Theory

0/2 key exercises

Traveling Salesman Problem

Graph Theory

0/4 key exercises

IB Math AIHL
/
Graph Theory
/
Home

Graph Theory

Graph terminology and structure, including directed and weighted graphs, connectivity, walks/trails/paths/cycles, trees and spanning trees, adjacency matrices, Eulerian and Hamiltonian graphs, and optimization algorithms such as Prim's, Kruskal's, the Chinese postman problem and the traveling salesman problem.

Progress trend

0%

Sign up to view your learning progress

Sign up

Choose a concept to study or jump straight into the problem bank.

Concepts

Start Here

Foundations of Graphs

Graph Theory

Graphs as vertex-edge networks: terminology for vertices, edges and self-edges; adjacent vertices and edges; degree of a vertex; simple, complete and connected graphs; directed graphs with in-degree and out-degree; strongly connected graphs; and weighted graphs.

Thumbnail for Foundations of Graphs

0/5 key exercises

Adjacency matrices & walks

Graph Theory

0/6 key exercises

Subgraphs, Trees and MSTs

Graph Theory

0/3 key exercises

Eulerian Graphs

Graph Theory

0/2 key exercises

Chinese Postman Problem

Graph Theory

0/2 key exercises

Traveling Salesman Problem

Graph Theory

0/4 key exercises

Problem Bank

IB: 4
Recommended
8 problems
IB: 5
Sign up for free to unlock
7 problems
IB: 6
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7 problems
IB: 7
Upgrade to unlock
2 problems
Browse untimed question bank

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Estimated range: 0%-46%

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Problem Bank

IB: 4
Recommended
8 problems
IB: 5
Sign up for free to unlock
7 problems
IB: 6
Upgrade to unlock
7 problems
IB: 7
Upgrade to unlock
2 problems
Browse untimed question bank

Performance Metrics

Concept Score

0%
+0% today

Speed Score

0%
+0% today

Mastery Score

0%
+0% today
Estimated range: 0%-46%

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Problem Activity

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