AutoGraphiX (AGX) is a computer system designed to help researchers in graph theory. The main purpose of AGX is to search for extremal graphs, i.e., graphs minimizing of maximizing a graph invariant (or a function of graph invariants, which could also be considered as an invariant). From this main capability, some information on the extremal graphs could be extracted and conjectures may be generated automatically or found by the researcher. .. (Source:

References in zbMATH (referenced in 102 articles , 1 standard article )

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  1. Elphick, Clive; Aouchiche, Mustapha: Nordhaus-Gaddum and other bounds for the sum of squares of the positive eigenvalues of a graph (2017)
  2. Aouchiche, Mustapha; Hansen, Pierre: Proximity, remoteness and distance eigenvalues of a graph (2016)
  3. Du, Zhibin; Ilić, Aleksandar: A proof of the conjecture regarding the sum of domination number and average eccentricity (2016)
  4. Larson, C.E.; Van Cleemput, N.: Automated conjecturing. I: Fajtlowicz’s Dalmatian heuristic revisited (2016)
  5. Zhang, Huihui; Li, Shuchao; Zhao, Lifang: On the further relation between the (revised) Szeged index and the Wiener index of graphs (2016)
  6. Dehghan-Zadeh, T.; Ashrafi, A.R.; Habibi, N.: Tetracyclic graphs with extremal values of Randić index (2015)
  7. Hua, Hongbo; Chen, Yaojun; Das, Kinkar C.: The difference between remoteness and radius of a graph (2015)
  8. Khan, Mehtab; Farooq, Rashid; Siddiqui, Azad A.: On the extremal energy of bicyclic digraphs (2015)
  9. Oliveira, Carla Silva; De Lima, Leonado; Rama, Paula; Carvalho, Paula: Extremal graphs for the sum of the two largest signless Laplacian eigenvalues (2015)
  10. Aouchiche, Mustapha; Hansen, Pierre: Some properties of the distance Laplacian eigenvalues of a graph. (2014)
  11. Aouchiche, Mustapha; Hansen, Pierre: Distance spectra of graphs: a survey (2014)
  12. Chen, Lily; Li, Xueliang; Liu, Mengmeng: The (revised) Szeged index and the Wiener index of a nonbipartite graph (2014)
  13. Dankelmann, Peter; Mukwembi, Simon: Upper bounds on the average eccentricity (2014)
  14. Deng, Hanyuan; Balachandran, S.; Ayyaswamy, S.K.: On two conjectures of Randić index and the largest signless Laplacian eigenvalue of graphs (2014)
  15. Desrosiers, Christian; Galinier, Philippe; Hansen, Pierre; Hertz, Alain: Automated generation of conjectures on forbidden subgraph characterization (2014)
  16. Hua, Hongbo; Das, Kinkar Ch.: Proof of conjectures on remoteness and proximity in graphs (2014)
  17. Aouchiche, Mustapha; Caporossi, Gilles; Hansen, Pierre: Open problems on graph eigenvalues studied with AutoGraphiX (2013)
  18. Aouchiche, Mustapha; Hansen, Pierre: A survey of Nordhaus-Gaddum type relations (2013)
  19. Deng, Hanyuan; Balachandran, S.; Ayyaswamy, S.K.; Venkatakrishnan, Y.B.: On the harmonic index and the chromatic number of a graph (2013)
  20. Gu, Zhao; Meng, Jixiang; Zhang, Zhao; Wan, Jin E.: Some upper bounds related with domination number (2013)

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