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Induced path

In the mathematical area of graph theory, an induced path in an undirected graph G is a path that is an induced subgraph of G. That is, it is a sequence of vertices in G such that each two adjacent vertices in the sequence are connected by an edge in G, and each two nonadjacent vertices in the sequence are not connected by any edge in G. An induced path…

Characters, Characterization of graph families & Overview

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Characterization of graph families

Complete graphsTreesTriangle-free graphCographsChordal graphs
10 related topics

Overview

MathematicalGraph theoryUndirected graphPathInduced subgraph
13 related topics

Algorithms and complexity

Mihalis YannakakisAsteroidal triple-free graphsIndependent sets
3 related topics

Example

Kautz (1958)
1 related topics

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Example

Characterization of graph families

Algorithms and complexity

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Induced path

Nodes32
Edges31
Triples15
Avg. degree1.94
Density0.0625
Components1

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Induced path

Top relations

related to Algorithms and complexity · 8
Induced path → As, Garey, However, It, Johnson, Mihalis Yannakakis, NP-complete, NP-hard
related to Characterization of graph families · 4
Induced path → By, Many, The, Trivially
related to Example · 2
Induced path → Kautz, The
is a · 1
Induced path → shortest path

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Important terminology

induced path graph length cycle graphs vertices cycles two paths number called longest independent four also atomic time connected problem

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Induced pathis ashortest path0.90text
Induced pathrelated to Algorithms and complexityIt0.60section
Induced pathrelated to Algorithms and complexityNP-complete0.60section
Induced pathrelated to Algorithms and complexityGarey0.60section
Induced pathrelated to Algorithms and complexityJohnson0.60section
Induced pathrelated to Algorithms and complexityMihalis Yannakakis0.60section
Induced pathrelated to Algorithms and complexityHowever0.60section
Induced pathrelated to Algorithms and complexityAs0.60section
Induced pathrelated to Algorithms and complexityNP-hard0.60section
Induced pathrelated to Characterization of graph familiesMany0.60section
Induced pathrelated to Characterization of graph familiesTrivially0.60section
Induced pathrelated to Characterization of graph familiesThe0.60section

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