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Shortest path problem: Works & Applications

In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.

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Shortest path problem topic overview

The analysis highlights Works and Applications as prominent areas in the source structure around Shortest path problem.

Related topics
50
Source areas
9
Connected nodes
59
Extracted relationships
88
Concept neighborhoods
29
Bridge connections
59

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.

Applications · 18 topics
Related problems · 10 topics
Algorithms · 8 topics
Overview · 5 topics
Definition · 3 topics
General algebraic framework on semirings: the algebraic path problem · 2 topics
Shortest path in stochastic time-dependent networks · 2 topics
Restricted shortest path · 1 topics
Single-source shortest paths · 1 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

Definition

Algorithms

Single-source shortest paths

Applications

Related problems

General algebraic framework on semirings: the algebraic path problem

Shortest path in stochastic time-dependent networks

Restricted shortest path

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 Shortest path problem connects Entity context

The extracted context around Shortest path problem shows recurring relationship patterns in the source. For example, Shortest path problem → ACM-SIAM Symp, Altıntaş, Amazon Digital Services LLC, An Appraisal, Annu, Archived, Atlanta, Cite, CiteSeerX, Discrete Algorithms, Dreyfus, DTIC AD-661265, Exact Solutions, Frigioni, Fully, GA, Gökhan, In Connection, ISBN, Labyrinths Another extracted example is Shortest path problem → FPTAS, Garey, Hassin, It, Johnson, Lorenz, ND30, NP-hard, Raz, RSP, Several, Shortest, The, The Restricted Shortest Path, We. Use these groups to spot repeated connection types before inspecting the individual relationships.

Shortest path problem

Top relations

related to Further reading · 33
Shortest path problem → ACM-SIAM Symp, Altıntaş, Amazon Digital Services LLC, An Appraisal, Annu, Archived, Atlanta, Cite, CiteSeerX, Discrete Algorithms, Dreyfus, DTIC AD-661265, Exact Solutions, Frigioni, Fully, GA, Gökhan, In Connection, ISBN, Labyrinths
related to Restricted shortest path · 15
Shortest path problem → FPTAS, Garey, Hassin, It, Johnson, Lorenz, ND30, NP-hard, Raz, RSP, Several, Shortest, The, The Restricted Shortest Path, We
related to Paths with constraints · 11
Shortest path problem → Another NP-complete, Constrained Shortest Path First, NP, NP-complete, One, The, The TSP, This, Traveling Salesman Problem, TSP, Unlike
related to Algorithms · 8
Shortest path problem → Bellman, Dijkstra's, Floyd, Ford, Johnson's, Several, Viterbi, Warshall
has application · 4
Shortest path problem → In, Network, Shortest Path Problems, The
related to Definition · 4
Shortest path problem → Directed, Such, The, Two
related to Related problems · 4
Shortest path problem → Euclidean, For, Reptation, The
related to All-pairs shortest paths · 3
Shortest path problem → Shimbel, The, V4
is a · 1
Shortest path problem → problem of finding a path between two vertices
related to Directed acyclic graphs · 1
Shortest path problem → An

Important terminology

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

Important terminology

path shortest problem graph edge algorithm vertices find time graphs algorithms edges directed network two paths road problems minimum may

Shortest path problem relationships Subject–Predicate–Object triples

TTTA extracted 88 structured relationships around Shortest path problem. Examples in this analysis include Shortest path problem → is a → problem of finding a path between two vertices and the amount of traffic → instance of → The travel duration on a road segment depends on many factors. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Shortest path problemis aproblem of finding a path between two vertices0.90text
the amount of trafficinstance ofThe travel duration on a road segment depends on many factors0.80text
dynamic programminginstance ofthey find the probability distribution of total travel duration using different optimization methods0.80text
Dijkstra's algorithminstance ofthey find the probability distribution of total travel duration using different optimization methods0.80text
Shortest path problemhas applicationNetwork0.60section
Shortest path problemhas applicationThe0.60section
Shortest path problemhas applicationShortest Path Problems0.60section
Shortest path problemhas applicationIn0.60section
Shortest path problemrelated to AlgorithmsSeveral0.60section
Shortest path problemrelated to AlgorithmsDijkstra's0.60section
Shortest path problemrelated to AlgorithmsBellman0.60section
Shortest path problemrelated to AlgorithmsFord0.60section

Related concept clusters Concept neighborhoods

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

  • Shortest path problem
    • Shortest
    • Problem
    • Find
    • Algorithm
    • Vertices
    • Paths
    • Time
    • Graphs
    • Weights
    • Algorithms
    • Directed
    • Single-source
  • shortest path problem
    • Shortest
    • Problem
    • Find
    • Algorithm
    • Vertices
    • Directed
    • Single-source
    • Paths
    • Minimum
    • Time
    • Graphs
    • Weights
  • graph theory
    • Vertices
    • Shortest
    • Problem
    • Path
    • Edges
    • Directed
    • Find
    • Two
    • Paths
    • Edge
    • Network
    • Capacity
  • path
    • Shortest
    • Problem
    • Find
    • Vertices
    • Minimum
    • Time
    • Algorithm
    • Paths
    • Algorithms
    • Networks
    • Single-source
    • Directed
  • vertices
    • Directed
    • Paths
    • Find
    • Every
    • Edge
    • Algorithms
    • Possible
    • Used
    • Graphs
    • Algorithm
    • Displaystyle
    • Undirected
  • graph
    • Vertices
    • Shortest
    • Problem
    • Path
    • Edges
    • Directed
    • Find
    • Two
    • Paths
    • Edge
    • Network
    • Capacity
  • weights
    • Single-source
    • Negative
    • Problem
    • Road
    • Edge
    • Edges
    • Undirected
    • Graph
    • Finding
    • Algorithm
    • Networks
    • Weight
  • dijkstra's algorithm
    • Shortest
    • Path
    • Node
    • Single-source
    • Use
    • Time
    • May
    • Problem
    • Paths
    • Find
    • Weight
    • Negative

Connections between topic areas Semantic bridges

For Shortest path problem, one of the stronger structural bridges in this analysis connects Shortest path problem with Applications. 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
Shortest path problemApplications · splits 41 ⟂ 19
Shortest path problemRelated problems · splits 49 ⟂ 11
Shortest path problemAlgorithms · splits 51 ⟂ 9
Shortest path problemOverview · splits 54 ⟂ 6
Shortest path problemDefinition · splits 56 ⟂ 4
Shortest path problemGeneral algebraic framework on semirings: the algebraic path problem · splits 57 ⟂ 3
Shortest path problemShortest path in stochastic time-dependent networks · splits 57 ⟂ 3

Map overview Semantic statistics

Shortest path problem

Nodes60
Edges59
Triples88
Avg. degree1.97
Density0.033333
Components1

Source & methodology

TTTA analyzes the structure around Shortest path problem to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Works & Applications, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Shortest path problem · EN edition · Analysis: TopicsToTalkAbout

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