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 123 articles , 1 standard article )

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  1. Li, Shuchao; Sun, Wanting: On the relation between the positive inertia index and negative inertia index of weighted graphs (2019)
  2. Zhang, Huihui; Li, Shuchao; Xu, Baogen: Extremal graphs of given parameters with respect to the eccentricity distance sum and the eccentric connectivity index (2019)
  3. Camby, E.; Caporossi, Gilles; Paiva, M. H. M.; Segatto, Marcia E. V.: Expected distance based on random walks (2018)
  4. Das, Kinkar Ch.: Proof of conjecture involving algebraic connectivity and average degree of graphs (2018)
  5. He, Chunling; Li, Shuchao; Tu, Jianwei: Edge-grafting transformations on the average eccentricity of graphs and their applications (2018)
  6. Hua, Hongbo: On the total distance and diameter of graphs (2018)
  7. Hua, Hongbo; Wang, Hongzhuan; Hu, Xiaolan: On eccentric distance sum and degree distance of graphs (2018)
  8. Huang, Jing; Li, Shuchao; Wang, Hua: Relation between the skew-rank of an oriented graph and the independence number of its underlying graph (2018)
  9. Luo, Chunmei; Zuo, Liancui; Zhang, Philip B.: The Wiener index of Sierpiński-like graphs (2018)
  10. Luo, Wenjun; Huang, Jing; Li, Shuchao: On the relationship between the skew-rank of an oriented graph and the rank of its underlying graph (2018)
  11. O, Suil; Shi, Yongtang: Sharp bounds for the Randić index of graphs with given minimum and maximum degree (2018)
  12. Zahid, Manzoor Ahmed; Baig, Abdul Qudair; Naeem, Muhammad; Azhar, Muhammad Razwan: Eccentricity-based topological indices of a cyclic octahedron structure (2018)
  13. Aouchiche, M.; Hansen, P.: Proximity, remoteness and girth in graphs (2017)
  14. Aouchiche, Mustapha; Hansen, Pierre: The geometric-arithmetic index and the chromatic number of connected graphs (2017)
  15. Das, Kinkar Ch.; Nadjafi-Arani, M. J.: On maximum Wiener index of trees and graphs with given radius (2017)
  16. Deng, Hanyuan; Balachandran, S.; Ayyaswamy, S. K.; Venkatakrishnan, Y. B.: On harmonic indices of trees, unicyclic graphs and bicyclic graphs. (2017)
  17. Du, Zhibin: Further results regarding the sum of domination number and average eccentricity (2017)
  18. Elphick, Clive; Aouchiche, Mustapha: Nordhaus-Gaddum and other bounds for the sum of squares of the positive eigenvalues of a graph (2017)
  19. Larson, C. E.; van Cleemput, N.: Automated conjecturing. III. Property-relations conjectures (2017)
  20. Li, Shuchao; Zhang, Huihui: Proofs of three conjectures on the quotients of the (revised) Szeged index and the Wiener index and beyond (2017)

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