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Combinatorial map

A combinatorial map is a combinatorial representation of a graph on an orientable surface. A combinatorial map may also be called a combinatorial embedding, a rotation system, an orientable ribbon graph, a fat graph, or a cyclic graph. More generally, an n {\displaystyle n} -dimensional combinatorial map is a combinatorial representation of a graph on an…

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Rotation systems

MathematicsCombinatorial mapsOrientableSurfacesCircular ordering
13 related topics

History

J. EdmondsPolyhedral surfacesPlanar graphsGerhard Ringel
4 related topics

Definition

PermutationInvolution
2 related topics

Higher-dimensional generalization

OrientableGeneralized maps
2 related topics

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Overview

History

Definition

Higher-dimensional generalization

Rotation systems

Bibliography

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Map overview Semantic statistics

Combinatorial map

Nodes51
Edges50
Triples41
Avg. degree1.96
Density0.039216
Components1

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Combinatorial map

Top relations

related to Rotation systems · 12
Combinatorial map → Alpert, Conversely, Edmonds, Every, Gross, In, Independently, Lothar Heffter, Ringel, The, This, Youngs
related to External links · 9
Combinatorial map → CGAL, CGoGN, Combinatorial, Computational Geometry Algorithms Library, Damiand, Generic N-dimensional MapsCombinatorial, Geometric, Guillaume, Retrieved February
related to history · 9
Combinatorial map → Combinatorial, Constellations, Edmonds, Gerhard Ringel, Heawood, It, Jacques, The, Youngs
related to Motivation · 6
Combinatorial map → For, More, Moreover, Several, Thus, When
is a · 4
Combinatorial map → boundary representation model, combinatorial representation of a graph on an n, combinatorial representation of a graph on an orientable surface, triplet M
related to Higher-dimensional generalization · 1
Combinatorial map → An

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Important terminology

combinatorial map rotation maps orientable graph representation surfaces permutation doi surface also graphs 10 system embedding mr used systems edmonds

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Combinatorial mapis acombinatorial representation of a graph on an orientable surface0.90text
Combinatorial mapis acombinatorial representation of a graph on an n0.90text
Combinatorial mapis aboundary representation model0.90text
Combinatorial mapis atriplet M0.90text
Combinatorial maprelated to External linksCombinatorial0.60section
Combinatorial maprelated to External linksCGAL0.60section
Combinatorial maprelated to External linksComputational Geometry Algorithms Library0.60section
Combinatorial maprelated to External linksDamiand0.60section
Combinatorial maprelated to External linksGuillaume0.60section
Combinatorial maprelated to External linksRetrieved February0.60section
Combinatorial maprelated to External linksCGoGN0.60section
Combinatorial maprelated to External linksGeometric0.60section

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