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 170 articles )

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  1. Abdolghafourian, A.; Iranmanesh, Mohammad A.: On harmonic index and diameter of quasi-tree graphs (2021)
  2. Balachandran, Selvaraj; Elumalai, Suresh; Mansour, Toufik: A short note on inverse sum indeg index of graphs (2021)
  3. Davila, Randy; Henning, Michael A.: Zero forcing versus domination in cubic graphs (2021)
  4. Liu, Muhuo; Tomescu, Ioan; Liu, Jianping: Unified extremal results for (k)-apex unicyclic graphs (trees) (2021)
  5. Ali, Akbar; Balachandran, Selvaraj; Elumalai, Suresh; Mansour, Toufik: On the (n)-vertex trees with sixth to fifteenth maximum harmonic indices (2020)
  6. Carballosa, Walter; Granados, Ana; Pestana, Domingo; Portilla, Ana; Sigarreta, José M.: Relations between some topological indices and the line graph (2020)
  7. Carballosa, Walter; Pestana, Domingo; Sigarreta, José M.; Tourís, Eva: Relations between the general sum connectivity index and the line graph (2020)
  8. Deng, Hanyuan; Balachandran, S.; Balachandar, S. Raja: The minimum value of the harmonic index for a graph with the minimum degree two (2020)
  9. Hemavathi, Panchanahally Shivalingappa; Lokesha, Veerabadhraiah; Manjunath, Muddulapuram; Reddy, Polaepalli Siva Kota; Shruti, Rani: Topological aspects boron triangular nanotube and boron-( \alpha) nanotube (2020)
  10. Hua, Hongbo; Das, Kinkar Chandra: Comparative results and bounds for the eccentric-adjacency index (2020)
  11. Hua, Hongbo; Hua, Xinying; Wang, Hongzhuan: Further results on the Merrifield-Simmons index (2020)
  12. Hua, Hongbo; Wang, Hongzhuan; Gutman, Ivan: Comparing eccentricity-based graph invariants (2020)
  13. Jacobs, R.; Larson, C. E.: A graph theoretic formula for the number of primes (\pi(n)) (2020)
  14. Li, Fengwei; Li, Xueliang; Broersma, Hajo: Spectral properties of inverse sum indeg index of graphs (2020)
  15. Lv, Jian-Bo; Li, Jianxi: The harmonic index of a graph and its DP-chromatic number (2020)
  16. Matejić, M. M.; Milovanović, I. Ž.; Milovanović, E. I.: Some inequalities for general sum-connectivity index (2020)
  17. Rao, Yongsheng; Aslam, Adnan; Noor, Muhammad Unfowan; Almatroud, A. Othman; Shao, Zehui: Bond incident degree indices of catacondensed pentagonal systems (2020)
  18. Sharafdini, Reza; Ghalavand, Ali; Ashrafi, Ali Reza: On diameter, cyclomatic number and inverse degree of chemical graphs (2020)
  19. Arockiaraj, Micheal; Klavžar, Sandi; Mushtaq, Shagufa; Balasubramanian, Krishnan: Distance-based topological indices of nanosheets, nanotubes and nanotori of SiO(_2) (2019)
  20. Dalfó, C.: On the Randić index of graphs (2019)

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