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 164 articles )

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  1. Liu, Muhuo; Tomescu, Ioan; Liu, Jianping: Unified extremal results for (k)-apex unicyclic graphs (trees) (2021)
  2. Ali, Akbar; Balachandran, Selvaraj; Elumalai, Suresh; Mansour, Toufik: On the (n)-vertex trees with sixth to fifteenth maximum harmonic indices (2020)
  3. Carballosa, Walter; Granados, Ana; Pestana, Domingo; Portilla, Ana; Sigarreta, José M.: Relations between some topological indices and the line graph (2020)
  4. Deng, Hanyuan; Balachandran, S.; Balachandar, S. Raja: The minimum value of the harmonic index for a graph with the minimum degree two (2020)
  5. Hemavathi, Panchanahally Shivalingappa; Lokesha, Veerabadhraiah; Manjunath, Muddulapuram; Reddy, Polaepalli Siva Kota; Shruti, Rani: Topological aspects boron triangular nanotube and boron-( \alpha) nanotube (2020)
  6. Hua, Hongbo; Das, Kinkar Chandra: Comparative results and bounds for the eccentric-adjacency index (2020)
  7. Hua, Hongbo; Hua, Xinying; Wang, Hongzhuan: Further results on the Merrifield-Simmons index (2020)
  8. Hua, Hongbo; Wang, Hongzhuan; Gutman, Ivan: Comparing eccentricity-based graph invariants (2020)
  9. Li, Fengwei; Li, Xueliang; Broersma, Hajo: Spectral properties of inverse sum indeg index of graphs (2020)
  10. Lv, Jian-Bo; Li, Jianxi: The harmonic index of a graph and its DP-chromatic number (2020)
  11. Matejić, M. M.; Milovanović, I. Ž.; Milovanović, E. I.: Some inequalities for general sum-connectivity index (2020)
  12. Rao, Yongsheng; Aslam, Adnan; Noor, Muhammad Unfowan; Almatroud, A. Othman; Shao, Zehui: Bond incident degree indices of catacondensed pentagonal systems (2020)
  13. Arockiaraj, Micheal; Klavžar, Sandi; Mushtaq, Shagufa; Balasubramanian, Krishnan: Distance-based topological indices of nanosheets, nanotubes and nanotori of SiO(_2) (2019)
  14. Dalfó, C.: On the Randić index of graphs (2019)
  15. Dankelmann, Peter: The Steiner (k)-Wiener index of graphs with given minimum degree (2019)
  16. Deng, Hanyuan; Balachandran, Selvaraj; Elumalai, Suresh: Some tight bounds for the harmonic index and the variation of the Randić index of graphs (2019)
  17. Elumalai, Suresh; Mansour, Toufik: On the general zeroth-order Randić index of bargraphs (2019)
  18. Elumalai, Suresh; Mansour, Toufik; Rostami, Mohammad Ali; Xavier, G. B. A.: A short note on hyper Zagreb index (2019)
  19. Gutman, Ivan; Rodríguez, José M.; Sigarreta, José M.: Linear and non-linear inequalities on the inverse sum indeg index (2019)
  20. Hua, Hongbo; Das, Kinkar Chandra; Wang, Hongzhuan: On atom-bond connectivity index of graphs (2019)

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