GRAFFITI

On conjectures of Graffiti The above mentioned article introduces a computer program, Graffiti, which makes graph-theoretical conjectures. Graffiti has a library of certain types of graphs and it is capable of evaluating formulas formed from graph-theoretical invariants; a formula is a conjecture if none of the graphs known by the program is an counterexample. The structure and the performances of the program are described.


References in zbMATH (referenced in 149 articles )

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  1. Arockiaraj, Micheal; Klavžar, Sandi; Mushtaq, Shagufa; Balasubramanian, Krishnan: Distance-based topological indices of nanosheets, nanotubes and nanotori of SiO(_2) (2019)
  2. Dalfó, C.: On the Randić index of graphs (2019)
  3. Dankelmann, Peter: The Steiner (k)-Wiener index of graphs with given minimum degree (2019)
  4. Deng, Hanyuan; Balachandran, Selvaraj; Elumalai, Suresh: Some tight bounds for the harmonic index and the variation of the Randić index of graphs (2019)
  5. Elumalai, Suresh; Mansour, Toufik; Rostami, Mohammad Ali; Xavier, G. B. A.: A short note on hyper Zagreb index (2019)
  6. Gutman, Ivan; Rodríguez, José M.; Sigarreta, José M.: Linear and non-linear inequalities on the inverse sum indeg index (2019)
  7. Hua, Hongbo; Das, Kinkar Chandra; Wang, Hongzhuan: On atom-bond connectivity index of graphs (2019)
  8. Lin, Huiqiu: On the sum of (k) largest distance eigenvalues of graphs (2019)
  9. Liu, Muhuo; Xu, Kexiang; Zhang, Xiao-Dong: Extremal graphs for vertex-degree-based invariants with given degree sequences (2019)
  10. Mafuta, Phillip; Mukwembi, Simon; Munyira, Sheunesu: Spanning paths in graphs (2019)
  11. Martínez-Pérez, Álvaro; Rodríguez, José M.: Some results on lower bounds for topological indices (2019)
  12. Milovanović, Emina; Matejić, Marjan; Milovanović, Igor: Some new upper bounds for the hyper-Zagreb index (2019)
  13. Portilla, Ana; Rodríguez, José M.; Sigarreta, José M.: Recent lower bounds for geometric-arithmetic index (2019)
  14. Rodríguez, José M.; Sánchez, José L.; Sigarreta, José M.: Inequalities on the inverse degree index (2019)
  15. Sun, Xiaoling; Gao, Yubin; Du, Jianwei: The harmonic index of two-trees and quasi-tree graphs (2019)
  16. Ye, Jiachang; Liu, Muhuo; Yao, Yuedan; Das, Kinkar Ch.: Extremal polygonal cacti for bond incident degree indices (2019)
  17. Ali, Akbar: Counter examples to a conjecture concerning harmonic index (2018)
  18. Gao, Fang; Li, Xiaoxin; Zhou, Kai; Liu, Jia-Bao: The extremal graphs of some topological indices with given vertex (k)-partiteness (2018)
  19. Hua, Hongbo: On the total distance and diameter of graphs (2018)
  20. Hua, Hongbo; Wang, Hongzhuan; Hu, Xiaolan: On eccentric distance sum and degree distance of graphs (2018)

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