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Regular graph

In graph theory, a regular graph is a graph where each vertex has the same number of neighbors; i.e. every vertex has the same degree or valency. A regular directed graph must also satisfy the stronger condition that the indegree and outdegree of each internal vertex are equal to each other. A regular graph with vertices of degree k is called a k‑regular…

Properties, Special cases & Existence

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

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←
symmetric (arc-transitive) · Cayley graph
→
distance-transitive · (if connected) vertex- and edge-transitive · vertex-transitive

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Overview

Special cases

Properties

Existence

  • Order Glossary of graph theory

Advanced semantic analysis

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Map overview Semantic statistics

Regular graph

Nodes31
Edges30
Triples33
Avg. degree1.94
Density0.064516
Components1

How this topic connects Entity context

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Regular graph

Top relations

related to External links · 14
Regular graph → Crispin, Eric, GenReg, Hamiltonian Circuits, Markus Meringer, MathWorld, Nash-Williams, Ontario, Strongly Regular Graph, University, Valency Sequences, Waterloo, Waterloo Research Report, Weisstein
related to Properties · 4
Regular graph → By, Hamiltonian, In, Nash-Williams
→ · 3
Regular graph → (if connected) vertex- and edge-transitive, distance-transitive, vertex-transitive
related to Existence · 3
Regular graph → If, Proof, There
related to Special cases · 3
Regular graph → In, Regular, Similarly
← · 2
Regular graph → Cayley graph, symmetric (arc-transitive)
is a · 2
Regular graph → graph where each vertex has the same number of neighbors, regular graph where every adjacent pair of vertices has the same number l of neighbors in common
related to Generation · 1
Regular graph → Fast
see also · 1
Regular graph → Random

Important terminology Word statistics

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Important terminology

graph regular displaystyle degree vertices vertex graphs number k-regular strongly even must also ldots every order connected circulant one adjacency

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Regular graph←symmetric (arc-transitive)1.00infobox
Regular graph←Cayley graph1.00infobox
Regular graph→distance-transitive1.00infobox
Regular graph→(if connected) vertex- and edge-transitive1.00infobox
Regular graph→vertex-transitive1.00infobox
Regular graphis agraph where each vertex has the same number of neighbors0.90text
Regular graphis aregular graph where every adjacent pair of vertices has the same number l of neighbors in common0.90text
Regular graphrelated to ExistenceThere0.60section
Regular graphrelated to ExistenceProof0.60section
Regular graphrelated to ExistenceIf0.60section
Regular graphrelated to External linksWeisstein0.60section
Regular graphrelated to External linksEric0.60section

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    Min side: 3
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