graph-theoretic program NAUTY: nauty is a program for computing automorphism groups of graphs and digraphs. It can also produce a canonical labelling. nauty is written in a portable subset of C, and runs on a considerable number of different systems. There is a small suite of programs called gtools included in the package. For example, geng can generate non-isomorphic graphs very quickly. There are also generators for bipartite graphs, digraphs, and multigraphs.

This software is also referenced in ORMS.

References in zbMATH (referenced in 460 articles , 1 standard article )

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  1. Akbari, Saieed; Ghodrati, Amir Hossein; Hosseinzadeh, Mohammad Ali; Iranmanesh, Ali: Equimatchable regular graphs (2018)
  2. Alfaro, Carlos A.; Valencia, Carlos E.: Small clique number graphs with three trivial critical ideals (2018)
  3. Alfaro, Carlos A.; Valencia, Carlos E.; Vázquez-Ávila, Adrián: Digraphs with at most one trivial critical ideal (2018)
  4. Azarija, Jernej; Marc, Tilen: There is no (75,32,10,16) strongly regular graph (2018)
  5. Bach, Eric; Sandlund, Bryce: Baby-step giant-step algorithms for the symmetric group (2018)
  6. Bolognini, Davide; Macchia, Antonio; Strazzanti, Francesco: Binomial edge ideals of bipartite graphs (2018)
  7. Brinkmann, Philip; Ziegler, Günter M.: Small $f$-vectors of 3-spheres and of 4-polytopes (2018)
  8. Bulutoglu, Dursun A.; Ryan, Kenneth J.: Integer programming for classifying orthogonal arrays (2018)
  9. Dzido, Tomasz; Jastrzȩbski, Andrzej: Turán numbers for odd wheels (2018)
  10. Ghosh, Swarnendu; Das, Nibaran; Gonçalves, Teresa; Quaresma, Paulo; Kundu, Mahantapas: The journey of graph kernels through two decades (2018)
  11. Kokkala, Janne I.; Östergård, Patric R. J.: The chromatic number of the square of the 8-cube (2018)
  12. Liu, Xiaogang; Liu, Shunyi: On the $A_\alpha$-characteristic polynomial of a graph (2018)
  13. Monnig, Nathan D.; Meyer, François G.: The resistance perturbation distance: a metric for the analysis of dynamic networks (2018)
  14. Östergård, Patric R. J.; Paavola, William T.: Mappings of Butson-type Hadamard matrices (2018)
  15. Östergård, Patric R. J.; Soicher, Leonard H.: There is no McLaughlin geometry (2018)
  16. Radhakrishnan, Adityanarayanan; Solus, Liam; Uhler, Caroline: Counting Markov equivalence classes for DAG models on trees (2018)
  17. Shao, Zehui; Vesel, Aleksander; Xu, Jin: The $k$-distance independence number and 2-distance chromatic number of Cartesian products of cycles (2018)
  18. Stanić, Zoran: Perturbations in a signed graph and its index (2018)
  19. Szöllősi, Ferenc; Östergård, Patric R. J.: Enumeration of Seidel matrices (2018)
  20. Aguilar, Cesar O.; Gharesifard, Bahman: Almost equitable partitions and new necessary conditions for network controllability (2017)

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