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Explore the main themes, entities and connections around Graph (discrete mathematics). 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.
Types of graphs
24 related topics
Definitions
18 related topics
Generalizations
12 related topics
Graph operations
10 related topics
Key facts & relationships
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Topics to explore
A structured outline of related entities, concepts and subtopics. Open any item to build a new map centered on it.Browse the full topic structure. Each item opens a new analysis centered on that subject.
Overview
- Discrete mathematics
- Graph theory
- Set Set (mathematics)
- Vertices Vertex (graph theory)
- Diagrammatic form
- J. J. Sylvester James Joseph Sylvester
- Chemical structure
Definitions
- Mathematical structures Mathematical structure
- Directed graph Graph (discrete mathematics)
- Multigraph
- Ordered pair
- Empty graph
- Empty set
- Computational complexity
- Incident Incidence (graph)
- Loop Loop (graph theory)
- Infinite graphs Infinite graph
- Homogeneous relation Binary relation
- Symmetric relation
- Adjacency matrix
- Symmetric Symmetric matrix
- Multiple edges
- Quiver Quiver (mathematics)
- Shortest path problems Shortest path problem
- Traveling salesman problem
Types of graphs
- Orientation Orientation (graph theory)
- Finite sets Finite set
- K-vertex-connected graph
- K-edge-connected graph
- Bipartite graph
- Partitioned Partition of a set
- Chromatic number
- Complete bipartite graph
- Subgraph Glossary of graph theory
- Path Path (graph theory)
- Connected Connected graph
- Acyclic Cycle (graph theory)
- Disjoint union Disjoint union of graphs
- Directed acyclic graph
- Petersen graph
- Perfect graphs Perfect graph
- Cographs Cograph
- Chordal graphs Chordal graph
- Automorphism groups Graph automorphism
- Vertex-transitive Vertex-transitive graph
- Arc-transitive Arc-transitive graph
- Distance-transitive graphs Distance-transitive graph
- Strongly regular graphs Strongly regular graph
- Distance-regular graphs Distance-regular graph
Properties of graphs
- Null graph
- Category Category theory
- Comma category
- Functor
Examples
- Computer science
- Conceptual graph
- Finite-state machines Finite-state machine
- Cayley graphs Cayley graph
- Schreier coset graphs Schreier coset graph
- Small category
- Forgetful functor
- Category of small categories
Graph operations
Generalizations
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
Number of nodes, edges, triples, density and central hubs. Use it to gauge the size and connectivity of the map.Graph (discrete mathematics)
Nodes92
Edges91
Triples12
Avg. degree1.98
Density0.021739
Components1
How this topic connects Entity context
Quick relationship hints grouped by predicate. Useful for spotting recurring semantic connections around the current entity.See the strongest relationship patterns around the current topic before diving into the raw triples.
Graph (discrete mathematics)
Top relations
related to External links · 6
Graph (discrete mathematics) → Eric, Graph, MathWorld, Media, Wikimedia CommonsWeisstein, Wiktionary-logo-en-v2
Important terminology Word statistics
Frequent words and multi-word phrases across the lead, headings, infobox and body. Useful for terminology coverage.Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
Important terminology
graph vertices called edges directed graphs edge set theory undirected vertex pair two connected isbn path loops one may multigraph
Entity relationships Subject–Predicate–Object triples
Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| the traveling salesman problem | instance of | for example in shortest path problems | 0.80 | text |
| instance of | An element x of X is a direct predecessor of an element y of X if and only if xRy.A directed graph can model information networks | 0.80 | text | |
| with one user following another.Particularly regular examples of directed graphs are given by the Cayley graphs of finitely-generated groups | instance of | An element x of X is a direct predecessor of an element y of X if and only if xRy.A directed graph can model information networks | 0.80 | text |
| as well as Schreier coset graphsIn category theory | instance of | An element x of X is a direct predecessor of an element y of X if and only if xRy.A directed graph can model information networks | 0.80 | text |
| every small category has an underlying directed multigraph whose vertices are the objects of the category | instance of | An element x of X is a direct predecessor of an element y of X if and only if xRy.A directed graph can model information networks | 0.80 | text |
| and whose edges are the arrows of the category | instance of | An element x of X is a direct predecessor of an element y of X if and only if xRy.A directed graph can model information networks | 0.80 | text |
| Graph (discrete mathematics) | related to External links | Wiktionary-logo-en-v2 | 0.60 | section |
| Graph (discrete mathematics) | related to External links | Media | 0.60 | section |
| Graph (discrete mathematics) | related to External links | Graph | 0.60 | section |
| Graph (discrete mathematics) | related to External links | Wikimedia CommonsWeisstein | 0.60 | section |
| Graph (discrete mathematics) | related to External links | Eric | 0.60 | section |
| Graph (discrete mathematics) | related to External links | MathWorld | 0.60 | section |
No triples extracted yet.
Related concept clusters Concept neighborhoods
Clusters of nearby vocabulary surrounding the topic. Scan them for adjacent concepts and language you may have missed.These clusters group vocabulary that occurs around closely connected concepts in the source material.
Connections between topic areas Semantic bridges
Bridge nodes connect otherwise separate parts of the map. Expand a row to inspect the topic groups on each side.Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.
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