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 109 articles )

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  1. Ali, Akbar: Counter examples to a conjecture concerning harmonic index (2018)
  2. Hua, Hongbo: On the total distance and diameter of graphs (2018)
  3. Malik, Mehar Ali: Two degree-distance based topological descriptors of some product graphs (2018)
  4. Milovanovic, E. I.; Matejic, M. M.; Milovanovic, I. Z.: Some inequalities for the harmonic topological index (2018)
  5. Nadeem, Imran; Shaker, Hani: Inequalities between degree- and distance-based graph invariants (2018)
  6. Chen, Zhibing; Su, Guifu; Volkmann, Lutz: Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs (2017)
  7. Falahati-Nezhad, Farzaneh; Azari, Mahdieh; Došlić, Tomislav: Sharp bounds on the inverse sum indeg index (2017)
  8. Milivojević, Milica; Pavlović, Ljiljana: The variation of the Randić index with regard to minimum and maximum degree (2017)
  9. Wu, Baoyindureng; Elphick, Clive: Upper bounds for the achromatic and coloring numbers of a graph (2017)
  10. Barrus, Michael D.; Molnar, Grant: Graphs with the strong Havel-Hakimi property (2016)
  11. Geetha, J.; Somasundaram, K.: Total chromatic number and some topological indices (2016)
  12. Jerline, J. Amalorpava; Michaelraj, L. Benedict: On harmonic index and diameter of unicyclic graphs (2016)
  13. Larson, C. E.; Van Cleemput, N.: Automated conjecturing. I: Fajtlowicz’s Dalmatian heuristic revisited (2016)
  14. Su, Guifu; Xiong, Liming; Su, Xiaofeng; Li, Guojun: Maximally edge-connected graphs and zeroth-order general Randić index for $\alpha\leq-1$ (2016)
  15. Xu, Kexiang; Das, Kinkar Ch.: Some extremal graphs with respect to inverse degree (2016)
  16. Bianchi, Monica; Cornaro, Alessandra; Palacios, José Luis; Torriero, Anna: New bounds of degree-based topological indices for some classes of $c$-cyclic graphs (2015)
  17. Das, Kinkar Ch.; Xu, Kexiang; Nam, Junki: Zagreb indices of graphs (2015)
  18. Deng, Hanyuan; Huang, Guihua; Jiang, Xiaojuan: A unified linear-programming modeling of some topological indices (2015)
  19. Lin, Huiqiu: Proof of a conjecture involving the second largest $D$-eigenvalue and the number of triangles (2015)
  20. Amos, David; Davila, Randy; Pepper, Ryan: On the $k$-residue of disjoint unions of graphs with applications to $k$-independence (2014)

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