twicaagt.ugent.be

Combinatorial algorithms and algorithmic graph theory

Combinatorial algorithms and algorithmic graph theory. Fast vector arithmetic over GF(3). Cubic graphs and snarks. Our research group belongs to the Department of Applied Mathematics and Computer science. We study search and generation algorithms on combinatorial objects. Like graphs, incidence geometries en subsets of these objects with interesting combinatorial properties. We are also interested in other algorithmic aspects of graph theory. This research domain has applications in representation theory...

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Combinatorial algorithms and algorithmic graph theory | twicaagt.ugent.be Reviews

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Combinatorial algorithms and algorithmic graph theory. Fast vector arithmetic over GF(3). Cubic graphs and snarks. Our research group belongs to the Department of Applied Mathematics and Computer science. We study search and generation algorithms on combinatorial objects. Like graphs, incidence geometries en subsets of these objects with interesting combinatorial properties. We are also interested in other algorithmic aspects of graph theory. This research domain has applications in representation theory...

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1 people

2 gunnar brinkmann

3 kris coolsaet

4 herman de beukelaer

5 veerle fack

6 jan goedgebeur

7 nicolas van cleemput

8 michaël vyverman

9 former members

10 mirka cimráková

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people,gunnar brinkmann,kris coolsaet,herman de beukelaer,veerle fack,jan goedgebeur,nicolas van cleemput,michaël vyverman,former members,mirka cimráková,jan degraer,hadrien mélot,adriaan peeters,heide sticker,dries van dyck,stéphanie vanhove,joost winne

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Combinatorial algorithms and algorithmic graph theory | twicaagt.ugent.be Reviews

https://twicaagt.ugent.be

Combinatorial algorithms and algorithmic graph theory. Fast vector arithmetic over GF(3). Cubic graphs and snarks. Our research group belongs to the Department of Applied Mathematics and Computer science. We study search and generation algorithms on combinatorial objects. Like graphs, incidence geometries en subsets of these objects with interesting combinatorial properties. We are also interested in other algorithmic aspects of graph theory. This research domain has applications in representation theory...

INTERNAL PAGES

twicaagt.ugent.be

1

Fullerenes

http://twicaagt.ugent.be/buckygen

Is a program for the efficient generation of all nonisomorphic fullerenes. These are triangulations where all vertices have degree 5 or 6. Or if the dual representation is used: cubic plane graphs where all faces are pentagons or hexagons. The program can also be used to generate IPR fullerenes, these are fullerenes which have no adjacent degree 5 vertices. The algorithms used in the generator are described in:. G Brinkmann, J. Goedgebeur and B.D. McKay, The Generation of Fullerenes. And a short manual.

2

Three class association schemes

http://twicaagt.ugent.be/tca

Three class association schemes. Below we list the association schemes described in the paper. Degraer J., Coolsaet K., Classification of three-class association schemes using backtracking with dynamic variable ordering. Discrete Mathematics, Vol 300, No. 1-3, pp. 71-81, 2005. Each file (a UNIX text file compressed with. Contains the list of association schemes for a given parameter set. Association schemes in the file are represented by square symmetric matrices with entries i. At position p,q.

3

k-critical graphs without long induced paths

http://twicaagt.ugent.be/criticalpfree

K-critical graphs without long induced paths. K-critical graphs without long induced paths. Is a program for generating all k-critical Pt-free graphs. The algorithm used in the generator is described in:. M Chudnovsky, J. Goedgebeur, O. Schaudt, and M. Zhong, Obstructions for three-coloring graphs without induced paths on six vertices. Preprint: ( arXiv. J Goedgebeur and O. Schaudt, Exhaustive generation of k-critical H-free graphs. Preprint: ( arXiv. The generator can be downloaded. And a short manual.

4

Cubic graphs and Snarks

http://twicaagt.ugent.be/cubic

Cubic graphs and Snarks. Cubic graphs and Snarks. Is a generator for connected cubic graphs and snarks. Snarks are cyclically 4-edge connected cubic graphs with chromatic index 4 and girth at least 4 or 5. Snarkhunter can now also be used to generate connected cubic graphs and snarks with girth at least k efficiently (for k ≤ 7). The algorithms used in the generator are described in:. G Brinkmann, J. Goedgebeur and B.D. McKay, Generation of Cubic graphs. 27 pages (2016). Preprint: ( arXiv. Don't hesitate...

5

Azulenoids

http://twicaagt.ugent.be/azul

Edward C. Kirby. Here you will find all the azulenoids enumerated in the paper. GBrinkmann, O.Delgado-Friedrichs, E. Kirby and N. Van Cleemput, A Catalogue of Periodic Fully-Resonant Azulene-Transitive Azulenoid Tilings Analogous to Clar Structures. Croat Chem. Acta 82. 4), 2009, pp. 781-789 (link). The azulenoids are available in two formats:. Contains the Delaney-Dress symbols of the tilings. Contains embedded representations of the tilings with marked azulenoids. The file azulenoids.pg.

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twicaagt.ugent.be

Combinatorial algorithms and algorithmic graph theory

Combinatorial algorithms and algorithmic graph theory. Fast vector arithmetic over GF(3). Cubic graphs and snarks. Our research group belongs to the Department of Applied Mathematics and Computer science. We study search and generation algorithms on combinatorial objects. Like graphs, incidence geometries en subsets of these objects with interesting combinatorial properties. We are also interested in other algorithmic aspects of graph theory. This research domain has applications in representation theory...

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