Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

Feedback arc set

In graph theory and graph algorithms, a feedback arc set or feedback edge set in a directed graph is a subset of the edges of the graph that contains at least one edge out of every cycle in the graph. Removing these edges from the graph breaks all of the cycles, producing an acyclic subgraph of the given graph, often called a directed acyclic graph. A…

Applications, Algorithms & Hardness

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around Feedback arc set. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Applications

Algorithms

Hardness

Theory

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

Feedback arc set

Nodes97
Edges96
Triples72
Avg. degree1.98
Density0.020619
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

Feedback arc set

Top relations

related to Inapproximability · 13
Feedback arc set → Although, APX, APX-hard, As, Beyond, By, If, Karp, Lawler, NP, NP-hard, The, This
has application · 12
Feedback arc set → Alternatively, Among, Applications, Finding, In, Kemeny, Many, Reversing, Several, The, This, Young
related to NP-hardness · 12
Feedback arc set → But, Eugene Lawler, In, It, Karp, Karp's, NP-complete, NP-completeness, Richard, Some NP-complete, This, Thus
related to Theory · 12
Feedback arc set → Conversely, Every, For, Hamiltonian, In, It, More, Omega, The, The Hamiltonian, Therefore, This
related to Restricted inputs · 8
Feedback arc set → Although, Every, In, It, Planar, The, These, This
related to Exact · 7
Feedback arc set → Because, Held, In, Karp, On, One, Searching
related to Equivalences · 5
Feedback arc set → Here, However, In, The, These
related to Approximate · 3
Feedback arc set → Determining, The, This

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

feedback arc set graph edges problem displaystyle minimum directed acyclic time graphs vertices maximum approximation one size algorithm vertex subgraph

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Feedback arc sethas applicationSeveral0.60section
Feedback arc sethas applicationReversing0.60section
Feedback arc sethas applicationApplications0.60section
Feedback arc sethas applicationIn0.60section
Feedback arc sethas applicationFinding0.60section
Feedback arc sethas applicationAmong0.60section
Feedback arc sethas applicationMany0.60section
Feedback arc sethas applicationThe0.60section
Feedback arc sethas applicationAlternatively0.60section
Feedback arc sethas applicationKemeny0.60section
Feedback arc sethas applicationYoung0.60section
Feedback arc sethas applicationThis0.60section

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
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.