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 142 articles , 1 standard article )

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  1. Aouchiche, Mustapha; El Hallaoui, Issmail: Minimum values of the second largest (Q)-eigenvalue (2022)
  2. Allouch, Nizar; King, Maia: Welfare targeting in networks (2021)
  3. Hua, Hongbo; Wang, Maolin: The connective eccentricity index and modified second Zagreb index of Parikh word representable graphs (2021)
  4. Pei, Lidan; Pan, Xiangfeng; Wang, Kun; Tian, Jing: Proofs of the AutoGraphiX conjectures on the domination number, average eccentricity and proximity (2021)
  5. Hua, Hongbo; Das, Kinkar Chandra: Comparative results and bounds for the eccentric-adjacency index (2020)
  6. Hua, Hongbo; Hua, Xinying; Wang, Hongzhuan: Further results on the Merrifield-Simmons index (2020)
  7. Wang, Hongzhuan; Hua, Hongbo; Wang, Maolin: Comparative study of distance-based graph invariants (2020)
  8. Dalfó, C.: On the Randić index of graphs (2019)
  9. Feng, Zhimin; Huang, Jing; Li, Shuchao; Luo, Xiaobing: Relationship between the rank and the matching number of a graph (2019)
  10. Ghebleh, Mohammad; Kanso, Ali; Stevanovic, Dragan: Graph6Java: a researcher-friendly Java framework for testing conjectures in chemical graph theory (2019)
  11. Li, Shuchao; Sun, Wanting: On the relation between the positive inertia index and negative inertia index of weighted graphs (2019)
  12. Li, Shuchao; Zhang, Licheng; Zhang, Minjie: On the extremal cacti of given parameters with respect to the difference of Zagreb indices (2019)
  13. Pei, Li-Dan; Pan, Xiang-Feng; Tian, Jing; Peng, Gui-Qin: On autographix conjecture regarding domination number and average eccentricity (2019)
  14. Réti, Tamás: On some properties of graph irregularity indices with a particular regard to the (\sigma)-index (2019)
  15. Zhang, Huihui; Li, Shuchao; Xu, Baogen: Extremal graphs of given parameters with respect to the eccentricity distance sum and the eccentric connectivity index (2019)
  16. Aouchiche, Mustapha; Hansen, Pierre: Cospectrality of graphs with respect to distance matrices (2018)
  17. Camby, E.; Caporossi, Gilles; Paiva, M. H. M.; Segatto, Marcia E. V.: Expected distance based on random walks (2018)
  18. Das, Kinkar Ch.: Proof of conjecture involving algebraic connectivity and average degree of graphs (2018)
  19. He, Chunling; Li, Shuchao; Tu, Jianwei: Edge-grafting transformations on the average eccentricity of graphs and their applications (2018)
  20. Hua, Hongbo: On the total distance and diameter of graphs (2018)

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