House of Graphs

House of graphs: A database of interesting graphs. In this note we present House of Graphs ( which is a new database of graphs. The key principle is to have a searchable database and offer -- next to complete lists of some graph classes-also a list of special graphs that have already turned out to be interesting and relevant in the study of graph theoretic problems or as counterexamples to conjectures. This list can be extended by users of the database.

References in zbMATH (referenced in 39 articles , 1 standard article )

Showing results 1 to 20 of 39.
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  1. Berčič, Katja; Vidali, Janoš: DiscreteZOO: a fingerprint database of discrete objects (2020)
  2. Chudnovsky, Maria; Goedgebeur, Jan; Schaudt, Oliver; Zhong, Mingxian: Obstructions for three-coloring and list three-coloring (H)-free graphs (2020)
  3. Chudnovsky, Maria; Goedgebeur, Jan; Schaudt, Oliver; Zhong, Mingxian: Obstructions for three-coloring graphs without induced paths on six vertices (2020)
  4. Fowler, Patrick W.; Gauci, John Baptist; Goedgebeur, Jan; Pisanski, Tomaž; Sciriha, Irene: Existence of regular nut graphs for degree at most 11 (2020)
  5. Goedgebeur, Jan; Máčajová, Edita; Škoviera, Martin: The smallest nontrivial snarks of oddness 4 (2020)
  6. Goedgebeur, Jan; Mattiolo, Davide; Mazzuoccolo, Giuseppe: Computational results and new bounds for the circular flow number of snarks (2020)
  7. Goedgebeur, Jan; Meersman, Barbara; Zamfirescu, Carol T.: Graphs with few Hamiltonian cycles (2020)
  8. Klocker, Benedikt; Fleischner, Herbert; Raidl, Günther R.: A model for finding transition-minors (2020)
  9. Kothari, Nishad; de Carvalho, Marcelo H.; Lucchesi, Cláudio L.; Little, Charles H. C.: On essentially 4-edge-connected cubic bricks (2020)
  10. Lauri, Juho; Mitillos, Christodoulos: Perfect Italian domination on planar and regular graphs (2020)
  11. Abrishami, Gholamreza; Rahbarnia, Freydoon: A note on the smallest connected non-traceable cubic bipartite planar graph (2019)
  12. Goedgebeur, Jan; Máčajová, Edita; Škoviera, Martin: Smallest snarks with oddness 4 and cyclic connectivity 4 have order 44 (2019)
  13. Hoffmann-Ostenhof, Arthur; Jatschka, Thomas: Snarks with special spanning trees (2019)
  14. Erokhovets, Nikolai: Construction of fullerenes and Pogorelov polytopes with 5-, 6- and one 7-gonal face (2018)
  15. Goedgebeur, Jan: On the smallest snarks with oddness 4 and connectivity 2 (2018)
  16. Jan Goedgebeur, Barbara Meersman, Carol T. Zamfirescu: Graphs with few Hamiltonian Cycles (2018) arXiv
  17. Bašić, Nino; Brinkmann, Gunnar; Fowler, Patrick W.; Pisanski, Tomaž; Van Cleemput, Nico: Sizes of pentagonal clusters in fullerenes (2017)
  18. Buchstaber, Victor M.; Erokhovets, Nikolai Yu.: Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes (2017)
  19. Jooyandeh, Mohammadreza; McKay, Brendan D.; Östergård, Patric R. J.; Pettersson, Ville H.; Zamfirescu, Carol T.: Planar hypohamiltonian graphs on 40 vertices (2017)
  20. Šámal, Robert: Cycle-continuous mappings -- order structure (2017)

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