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Bridge (graph theory)

In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edge of a graph whose deletion increases the graph's number of connected components. Equivalently, an edge is a bridge if and only if it is not contained in any cycle. For a connected graph, a bridge can uniquely determine a cut. A graph is said to be bridgeless or isthmus-free if it contains…

Bridgeless graphs, Tarjan's bridge-finding algorithm & Bridge-finding with chain decompositions

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Bridgeless graphs

Open ear decomposition2-edge-connectedRobbins' theoremStrong orientationOpen problem
8 related topics

Tarjan's bridge-finding algorithm

Linear timeRobert TarjanSpanning forestPreorder
4 related topics

Bridge-finding with chain decompositions

Chain decompositionCut vertexBlock-cut treeDFS
4 related topics

Trees and forests

TreesForestsEquivalence relation
3 related topics

Topics to explore

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Overview

Trees and forests

Relation to vertex connectivity

Bridgeless graphs

Tarjan's bridge-finding algorithm

Bridge-finding with chain decompositions

Bridges and Eulerian cycles

Advanced semantic analysis

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Map overview Semantic statistics

Bridge (graph theory)

Nodes37
Edges36
Triples0
Avg. degree1.95
Density0.054054
Components1

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Important terminology Word statistics

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Important terminology

graph edge bridge every bridges displaystyle vertex preorder cycle chain bridgeless cut 2-edge-connected nodes edges path label reachable connected eulerian

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
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