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.

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References in zbMATH (referenced in 135 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. Elumalai, Suresh; Mansour, Toufik; Rostami, Mohammad Ali; Xavier, G. B. A.: A short note on hyper Zagreb index (2019)
  3. Gutman, Ivan; Rodríguez, José M.; Sigarreta, José M.: Linear and non-linear inequalities on the inverse sum indeg index (2019)
  4. Lin, Huiqiu: On the sum of (k) largest distance eigenvalues of graphs (2019)
  5. Liu, Muhuo; Xu, Kexiang; Zhang, Xiao-Dong: Extremal graphs for vertex-degree-based invariants with given degree sequences (2019)
  6. Mafuta, Phillip; Mukwembi, Simon; Munyira, Sheunesu: Spanning paths in graphs (2019)
  7. Ye, Jiachang; Liu, Muhuo; Yao, Yuedan; Das, Kinkar Ch.: Extremal polygonal cacti for bond incident degree indices (2019)
  8. Ali, Akbar: Counter examples to a conjecture concerning harmonic index (2018)
  9. Gao, Fang; Li, Xiaoxin; Zhou, Kai; Liu, Jia-Bao: The extremal graphs of some topological indices with given vertex (k)-partiteness (2018)
  10. Hua, Hongbo: On the total distance and diameter of graphs (2018)
  11. Hua, Hongbo; Wang, Hongzhuan; Hu, Xiaolan: On eccentric distance sum and degree distance of graphs (2018)
  12. Mafuta, P.; Mazorodze, J. P.; Mushanyu, J.; Nhawu, G.: Graphs with forbidden subgraphs and leaf number (2018)
  13. Malik, Mehar Ali: Two degree-distance based topological descriptors of some product graphs (2018)
  14. Martínez-Pérez, Álvaro; Rodríguez, José M.: New lower bounds for the second variable Zagreb index (2018)
  15. Matejić, M. M.; Milovanović, I. Ž.; Milovanović, E. I.: Upper bounds for the inverse sum indeg index of graphs (2018)
  16. Milovanovic, E. I.; Matejic, M. M.; Milovanovic, I. Z.: Some inequalities for the harmonic topological index (2018)
  17. Nadeem, Imran; Shaker, Hani: Inequalities between degree- and distance-based graph invariants (2018)
  18. O, Suil; Shi, Yongtang: Sharp bounds for the Randić index of graphs with given minimum and maximum degree (2018)
  19. Pattabiraman, K.: Inverse sum indeg index of graphs (2018)
  20. Rasi, Reza: On the harmonic index of bicyclic graphs (2018)

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