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Path graph

In the mathematical field of graph theory, a path graph (or linear graph) is a graph whose vertices can be listed in the order v1, v2, ..., vn such that the edges are {vi, vi+1} where i = 1, 2, ..., n − 1. Equivalently, a path with at least two vertices is connected and has two terminal vertices (vertices of degree 1), while all others (if any) have…

As Dynkin diagrams & Overview

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Research this topic

Explore the main themes, entities and connections around Path graph. 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.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Automorphisms
2
Chromatic index
2
Chromatic number
2
Diameter
n − 1
Edges
n − 1
Notation
Pn

Topics to explore

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

Overview

As Dynkin diagrams

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

Path graph

Nodes20
Edges19
Triples17
Avg. degree1.9
Density0.1
Components1

How this topic connects Entity context

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

Path graph

Top relations

related to As Dynkin diagrams · 4
Path graph → As, Dynkin, In, Weyl
related to External links · 3
Path graph → Eric, MathWorld, Weisstein
Automorphisms · 1
Path graph → 2
Chromatic index · 1
Path graph → 2
Chromatic number · 1
Path graph → 2
Diameter · 1
Path graph → n − 1
Edges · 1
Path graph → n − 1
Notation · 1
Path graph → Pn
Properties · 1
Path graph → Unit distance Bipartite graph Tree
Radius · 1
Path graph → ⌊n/2⌋

Important terminology Word statistics

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

Important terminology

graph path paths theory vertices tree degree graphs linear called example edges see texts bondy murty 1976 diestel 2005 dynkin

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Path graphAutomorphisms21.00infobox
Path graphChromatic index21.00infobox
Path graphChromatic number21.00infobox
Path graphDiametern − 11.00infobox
Path graphEdgesn − 11.00infobox
Path graphNotationPn1.00infobox
Path graphPropertiesUnit distance Bipartite graph Tree1.00infobox
Path graphRadius⌊n/2⌋1.00infobox
Path graphSpectrum{ 2 cos ⁡ ( k π n + 1 ) ; {\displaystyle \{2\cos \left({\frac {k\pi }{n+1}}\right);} k = 1 , … , n } {\displaystyle k=1,\ldots ,n\}}1.00infobox
Path graphVerticesn1.00infobox
Path graphrelated to As Dynkin diagramsIn0.60section
Path graphrelated to As Dynkin diagramsDynkin0.60section

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
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