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Subset sum problem: Science, Exponential time algorithms & Computational hardness

The subset sum problem (SSP) is a decision problem in computer science. In its most general formulation, there is a multiset S {\displaystyle S} of integers and a target-sum T {\displaystyle T} , and the question is to decide whether any subset of the integers sum to precisely T {\displaystyle T} . The problem is known to be NP-complete. Moreover, some…

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Subset sum problem topic overview

The analysis highlights Science, Exponential time algorithms and Computational hardness as prominent areas in the source structure around Subset sum problem.

Related topics
34
Source areas
5
Connected nodes
39
Extracted relationships
49
Concept neighborhoods
21
Bridge connections
39

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Exponential time algorithms · 10 topics
Computational hardness · 9 topics
Overview · 8 topics
Pseudo-polynomial time dynamic programming solutions · 5 topics
Polynomial time approximation algorithms · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Computational hardness

Exponential time algorithms

Pseudo-polynomial time dynamic programming solutions

Polynomial time approximation algorithms

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.

How Subset sum problem connects Entity context

The extracted context around Subset sum problem shows recurring relationship patterns in the source. For example, Subset sum problem → A3, ACM, Algorithms, Charles, Clifford, Computers, Cormen, David, Freeman, Garey, Guide, Intractability, Introduction, ISBN, ISSN, Johnson, Journal, Knapsack, Lagarias, Leiserson Another extracted example is Subset sum problem → Form, Hellman, Knapsack, Mathematical, Multiple, Problem, SSP, The. Use these groups to spot repeated connection types before inspecting the individual relationships.

Subset sum problem

Top relations

related to Further reading · 41
Subset sum problem → A3, ACM, Algorithms, Charles, Clifford, Computers, Cormen, David, Freeman, Garey, Guide, Intractability, Introduction, ISBN, ISSN, Johnson, Journal, Knapsack, Lagarias, Leiserson
see also · 8
Subset sum problem → Form, Hellman, Knapsack, Mathematical, Multiple, Problem, SSP, The

Important terminology

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

Important terminology

displaystyle sum subset algorithm problem ssp time integers number positive input two given inputs instance elements sums exactly variant also

Subset sum problem relationships Subject–Predicate–Object triples

TTTA extracted 49 structured relationships around Subset sum problem. Examples in this analysis include Subset sum problem → related to Further reading → Cormen and Subset sum problem → related to Further reading → Thomas. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Subset sum problemrelated to Further readingCormen0.60section
Subset sum problemrelated to Further readingThomas0.60section
Subset sum problemrelated to Further readingLeiserson0.60section
Subset sum problemrelated to Further readingCharles0.60section
Subset sum problemrelated to Further readingRivest0.60section
Subset sum problemrelated to Further readingRonald0.60section
Subset sum problemrelated to Further readingStein0.60section
Subset sum problemrelated to Further readingClifford0.60section
Subset sum problemrelated to Further readingThe0.60section
Subset sum problemrelated to Further readingIntroduction0.60section
Subset sum problemrelated to Further readingAlgorithms0.60section
Subset sum problemrelated to Further readingMIT Press0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Subset sum problem bring nearby vocabulary together. In this analysis, examples include Sum, Given and Problem. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Subset sum problem
    • Sum
    • Given
    • Problem
    • Ssp
    • Subset
    • Since
    • Algorithm
    • Found
    • Inputs
    • Complexity
    • Integers
    • Displaystyle
  • subset sum problem
    • Sum
    • Ssp
    • Found
    • Algorithm
    • Given
    • Problem
    • Subset
    • Case
    • Since
    • Inputs
    • Complexity
    • Integers
  • decision problem
    • Ssp
    • Sum
    • Subset
    • Case
    • Complexity
    • Number
    • Bits
    • Known
    • Also
    • Subsets
    • Displaystyle
    • Found
  • partition problem
    • Ssp
    • Sum
    • Subset
    • Case
    • Complexity
    • Number
    • Bits
    • Known
    • Also
    • Subsets
    • Displaystyle
    • Found
  • optimization problem
    • Ssp
    • Sum
    • Subset
    • Case
    • Complexity
    • Number
    • Bits
    • Known
    • Also
    • Subsets
    • Displaystyle
    • Found
  • knapsack problem
    • Ssp
    • Sum
    • Subset
    • Case
    • Complexity
    • Number
    • Bits
    • Known
    • Also
    • Subsets
    • Displaystyle
    • Found
  • multiple subset sum
    • Sum
    • Found
    • Algorithm
    • Given
    • Problem
    • Ssp
    • Since
    • Inputs
    • Integers
    • Displaystyle
    • Exactly
    • Time
  • time complexity
    • Time
    • Algorithm
    • Exponential
    • Space
    • Known
    • Polynomial
    • Elements
    • Element
    • Problem
    • Found
    • Two
    • Displaystyle

Connections between topic areas Semantic bridges

For Subset sum problem, one of the stronger structural bridges in this analysis connects Subset sum problem with Exponential time algorithms. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Subset sum problem — Exponential time algorithms · splits 29 ⟂ 11
Subset sum problem — Computational hardness · splits 30 ⟂ 10
Subset sum problem — Overview · splits 31 ⟂ 9
Subset sum problem — Pseudo-polynomial time dynamic programming solutions · splits 34 ⟂ 6
Subset sum problem — Polynomial time approximation algorithms · splits 37 ⟂ 3

Map overview Semantic statistics

Subset sum problem

Nodes40
Edges39
Triples49
Avg. degree1.95
Density0.05
Components1

Source & methodology

TTTA analyzes the structure around Subset sum problem to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Science, Exponential time algorithms & Computational hardness, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Subset sum problem · EN edition · Analysis: TopicsToTalkAbout

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