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Researcher
Gunnar Brinkmann
Profile
Projects
Publications & Research Data
Activities
Awards & Distinctions
Patents
65
Results
2026
Plane triangulations without large 2-trees
Allan Bickle
Gunnar Brinkmann
A1
Journal Article
in
ARS MATHEMATICA CONTEMPORANEA
2026
2025
Face sizes and the connectivity of the dual
Gunnar Brinkmann
Kenta Noguchi
Heidi Van den Camp
A1
Journal Article
in
JOURNAL OF GRAPH THEORY
2025
Generating maps on oriented surfaces using the homomorphism principle
Gunnar Brinkmann
A1
Journal Article
in
DISCRETE & COMPUTATIONAL GEOMETRY
2025
Preserving and increasing symmetries of polyhedral maps
Gunnar Brinkmann
Fabio Buccoliero
Heidi Van den Camp
A1
Journal Article
in
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
2025
2024
Symmetry-preserving operations on maps
Heidi Van den Camp
Gunnar Brinkmann
Kris Coolsaet
Dissertation
2024
Uniquely hamiltonian graphs for many sets of degrees
Gunnar Brinkmann
Matthias De Pauw
A1
Journal Article
in
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
2024
2023
On local operations that preserve symmetries and on preserving polyhedrality of maps
Gunnar Brinkmann
Heidi Van den Camp
A1
Journal Article
in
ARS MATHEMATICA CONTEMPORANEA
2023
2022
On 2-factors splitting an embedded graph into two plane graphs
Gunnar Brinkmann
Sara Chiers
Carol Zamfirescu
A1
Journal Article
in
GRAPHS AND COMBINATORICS
2022
The connectivity of the dual
Drago Bokal
Gunnar Brinkmann
Carol Zamfirescu
A1
Journal Article
in
JOURNAL OF GRAPH THEORY
2022
The minimality of the Georges-Kelmans graph
Gunnar Brinkmann
Jan Goedgebeur
Brendan D. Mckay
A1
Journal Article
in
MATHEMATICS OF COMPUTATION
2022
2021
4-connected polyhedra have at least a linear number of hamiltonian cycles
Gunnar Brinkmann
Nicolas Van Cleemput
A1
Journal Article
in
EUROPEAN JOURNAL OF COMBINATORICS
2021
A simple and elementary proof of Whitney's unique embedding theorem
Gunnar Brinkmann
A1
Journal Article
in
ARS MATHEMATICA CONTEMPORANEA
2021
On the genera of polyhedral embeddings of cubic graphs
Gunnar Brinkmann
Thomas Tucker
Nicolas Van Cleemput
A1
Journal Article
in
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
2021
2019
Grinberg’s criterion
Gunnar Brinkmann
Carol Zamfirescu
A1
Journal Article
in
EUROPEAN JOURNAL OF COMBINATORICS
2019
Patches with short boundaries
Gunnar Brinkmann
Simon Van den Eynde
A1
Journal Article
in
EUROPEAN JOURNAL OF COMBINATORICS
2019
Polyhedra with few 3-cuts are hamiltonian
Gunnar Brinkmann
Carol Zamfirescu
A1
Journal Article
in
ELECTRONIC JOURNAL OF COMBINATORICS
2019
The existence and generation of nanojoins with given parameters
Dieter Mourisse
Gunnar Brinkmann
Dissertation
2019
Types of triangle in plane Hamiltonian triangulations and applications to domination and k-walks
Gunnar Brinkmann
Kenta Ozeki
Nicolas Van Cleemput
A1
Journal Article
in
ARS MATHEMATICA CONTEMPORANEA
2019
2018
Computing the maximal canonical form for trees in polynomial time
Gunnar Brinkmann
A1
Journal Article
in
JOURNAL OF MATHEMATICAL CHEMISTRY
2018
Generation of union-closed sets and Moore families
Gunnar Brinkmann
Robin Deklerck
A2
Journal Article
in
JOURNAL OF INTEGER SEQUENCES
2018
On the number of hamiltonian cycles in triangulations with few separating triangles
Gunnar Brinkmann
Jasper Souffriau
Nicolas Van Cleemput
A1
Journal Article
in
JOURNAL OF GRAPH THEORY
2018
2017
A generation algorithm for nanojoins
Gunnar Brinkmann
Dieter Mourisse
A1
Journal Article
in
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
2017
Comparing the constructions of Goldberg, Fuller, Caspar, Klug and Coxeter, and a general approach to local symmetry-preserving operations
Gunnar Brinkmann
Pieter Goetschalckx
Stan Schein
A1
Journal Article
in
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
2017
Generation of cubic graphs and snarks with large girth
Gunnar Brinkmann
Jan Goedgebeur
A1
Journal Article
in
JOURNAL OF GRAPH THEORY
2017
Sizes of pentagonal clusters in fullerenes
Nino Bašić
Gunnar Brinkmann
Patrick W Fowler
Tomaž Pisanski
Nicolas Van Cleemput
A1
Journal Article
in
JOURNAL OF MATHEMATICAL CHEMISTRY
2017
2016
Hypohamiltonian and almost hypohamiltonian graphs
Carol Zamfirescu
Gunnar Brinkmann
Dissertation
2016
On the strongest form of a theorem of Whitney for Hamiltonian cycles in plane triangulations
Gunnar Brinkmann
Jasper Souffriau
Nicolas Van Cleemput
A1
Journal Article
in
JOURNAL OF GRAPH THEORY
2016
2015
Construction of planar 4-connected triangulations
Gunnar Brinkmann
Craig Larson
Jasper Souffriau
Nicolas Van Cleemput
A1
Journal Article
in
ARS MATHEMATICA CONTEMPORANEA
2015
Enumeration of generalized fusenes
Gunnar Brinkmann
Pieter Goetschalckx
A1
Journal Article
in
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
2015
Modeling nanotube caps: the relationship between fullerenes and caps
Manuel Melle-Franco
Gunnar Brinkmann
Francesco Zerbetto
A1
Journal Article
in
JOURNAL OF PHYSICAL CHEMISTRY A
2015
On the existence of nanojoins with given parameters
Gunnar Brinkmann
Dieter Mourisse
Leanne Rylands
A1
Journal Article
in
JOURNAL OF MATHEMATICAL CHEMISTRY
2015
Snarks with total chromatic number 5
Gunnar Brinkmann
Myriam Preissmann
Diana Sasaki
A1
Journal Article
in
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
2015
2013
An independent set approach for the communication network of the GPS III system
Gunnar Brinkmann
Simon Crevals
John Frye
A1
Journal Article
in
DISCRETE APPLIED MATHEMATICS
2013
Generating regular directed graphs
Gunnar Brinkmann
A1
Journal Article
in
DISCRETE MATHEMATICS
2013
Generation algorithms for mathematical and chemical problems
Jan Goedgebeur
Gunnar Brinkmann
Dissertation
2013
Generation and properties of snarks
Gunnar Brinkmann
Jan Goedgebeur
Jonas Hägglund
Klas Markström
A1
Journal Article
in
JOURNAL OF COMBINATORIAL THEORY SERIES B
2013
Generation of various classes of trivalent graphs
Gunnar Brinkmann
Nicolas Van Cleemput
Tomaž Pisanski
A1
Journal Article
in
THEORETICAL COMPUTER SCIENCE
2013
House of Graphs: a database of interesting graphs
Gunnar Brinkmann
Kris Coolsaet
Jan Goedgebeur
Hadrien Melot
A1
Journal Article
in
DISCRETE APPLIED MATHEMATICS
2013
The history of the generation of cubic graphs
Gunnar Brinkmann
Jan Goedgebeur
Nicolas Van Cleemput
A2
Journal Article
in
INTERNATIONAL JOURNAL OF CHEMICAL MODELING
2013
2012
Face-spiral codes in cubic polyhedral graphs with face sizes no larger than 6
Patrick W Fowler
Mohammadreza Jooyandeh
Gunnar Brinkmann
A1
Journal Article
in
JOURNAL OF MATHEMATICAL CHEMISTRY
2012
Generation of structures in chemistry and mathematics
Nicolas Van Cleemput
Gunnar Brinkmann
Dissertation
2012
Ramsey numbers R(K3, G) for graphs of order 10
Gunnar Brinkmann
Jan Goedgebeur
Jan-Christoph Schlage-Puchta
A1
Journal Article
in
ELECTRONIC JOURNAL OF COMBINATORICS
2012
The generation of fullerenes
Gunnar Brinkmann
Jan Goedgebeur
Brendan D McKay
A1
Journal Article
in
JOURNAL OF CHEMICAL INFORMATION AND MODELING
2012
The smallest fullerene without a spiral
Gunnar Brinkmann
Jan Goedgebeur
Brendan D McKay
A1
Journal Article
in
CHEMICAL PHYSICS LETTERS
2012
α-Labelings and the structure of trees with nonzero α-deficit
Gunnar Brinkmann
Simon Crevals
Hadrien Mélot
Leanne Rylands
Eckhard Steffen
A1
Journal Article
in
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
2012
2011
Classification and generation of nanocones
Gunnar Brinkmann
Nicolas Van Cleemput
A1
Journal Article
in
DISCRETE APPLIED MATHEMATICS
2011
Generation of cubic graphs
Gunnar Brinkmann
Jan Goedgebeur
Brendan D McKay
A1
Journal Article
in
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE
2011
2010
CaGe: a virtual environment for studying some special classes of plane graphs : an update
Gunnar Brinkmann
Olaf Delgado-Friedrichs
Sebastian Lisken
Adriaan Peeters
Nicolas Van Cleemput
A1
Journal Article
in
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
2010
2009
A catalogue of periodic fully-resonant azulene-transitive azulenoid tilings analogous to Clar structures
Gunnar Brinkmann
Olaf Delgado-Friedrichs
Edward C Kirby
Nicolas Van Cleemput
A1
Journal Article
in
CROATICA CHEMICA ACTA
2009
An efficient algorithm for the generation of planar polycyclic hydrocarbons with a given boundary
Gunnar Brinkmann
Bart Coppens
A1
Journal Article
in
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
2009
Generating water clusters and other directed graphs
Gunnar Brinkmann
A1
Journal Article
in
JOURNAL OF MATHEMATICAL CHEMISTRY
2009
Graph structural properties of non-Yutsis graphs allowing fast recognition
Robert E.L. Aldred
Gunnar Brinkmann
Dries Van Dyck
Veerle Fack
Brendan D. McKay
A1
Journal Article
in
Discrete Applied Mathematics
2009
GrInvIn in a Nutshell
Adriaan Peeters
Kris Coolsaet
Gunnar Brinkmann
Nicolas Van Cleemput
Veerle Fack
A1
Journal Article
in
Journal of Mathematical Chemistry
2009
Numbers of faces in disordered patches
Gunnar Brinkmann
Jack E. Graver
Claudia Justus
A1
Journal Article
in
Journal of Mathematical Chemistry
2009
2008
Rehabilitation of an unloved child: Semi-Splaying
Gunnar Brinkmann
Jan Degraer
Karel Deloof
A1
Journal Article
in
Software - Practice and Experience
2008
Variable Neighborhood Search for Extremal Graphs. 21. Conjectures
Mustapha Aouchiche
Gunnar Brinkmann
Pierre Hansen
A1
Journal Article
in
Discrete Applied Mathematics
2008
2007
Fast generation of planar graphs
Gunnar Brinkmann
Brendan D McKay
A1
Journal Article
in
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY
2007
Fusenes and benzenoids with perfect matchings
Gunnar Brinkmann
C GROTHAUS
I GUTMAN
A1
Journal Article
in
JOURNAL OF MATHEMATICAL CHEMISTRY
2007
2006
Growing fullerenes from seed: Growth transformations of fullerene polyhedra
Gunnar Brinkmann
D FRANCEUS
PW FOWLER
JE GRAVER
A1
Journal Article
in
CHEMICAL PHYSICS LETTERS
2006
2005
Chromatic-index-critical graphs of orders 13 and 14
D BOKAL
Gunnar Brinkmann
S GRUNEWALD
A1
Journal Article
in
DISCRETE MATHEMATICS
2005
Construction of planar triangulations with minimum degree 5
Gunnar Brinkmann
BD MCKAY
A1
Journal Article
in
DISCRETE MATHEMATICS
2005
Counting unlabelled topologies and transitive relations
Gunnar Brinkmann
Brendan D McKay
A2
Journal Article
in
JOURNAL OF INTEGER SEQUENCES
2005
Generation of simple quadrangulations of the sphere
Gunnar Brinkmann
S GREENBERG
C GREENHILL
BD MCKAY
R THOMAS
P WOLLAN
A1
Journal Article
in
DISCRETE MATHEMATICS
2005
Numbers of faces and boundary encodings of patches
Gunnar Brinkmann
O DELGADO-FRIEDRICHS
U VON NATHUSIUS
P1
Conference
2005
To be or not to be Yutsis: Algorithms for the decision problem
Dries Van Dyck
Gunnar Brinkmann
Veerle Fack
BD MCKAY
A1
Journal Article
in
COMPUTER PHYSICS COMMUNICATIONS
2005