Ali Ghalavand

Biography

Dr. Ali Ghalavand completed his PhD in Graph Theory at the University of Kashan, Iran,in 2021 under the supervision of the late Professor Ali Reza Ashrafi. He then held a one-year postdoctoral position at Ferdowsi University of Mashhad, Iran (2021–2022). From December 2023 to early 2026, he worked as a Postdoctoral Fellow at the Center for Combinatorics, Nankai University, Tianjin, China, under the supervision of Professor Xueliang Li. Currently, he is starting his role as an Assistant Professor at HIMIS. His research focuses on combinatorial and structural aspects of graph theory. ORCID: 0000-0002-8186-0146.

Education

• Ph.D. in Mathematics (Graph Theory) – University of Kashan, Kashan, Iran (Sep 2017 – Sep 2021)

• M.Sc. in Mathematics (Graph Theory) – Khansar Campus, University of Isfahan, Iran (Jan 2013 – Mar 2015)

• B.Sc. in Mathematics – Payame Noor University of Khuzestan, Andimeshk, Iran (Sep 2007 – Jan 2011)

Employment

• Assistant Professor – HIMIS (2026 – Present)

• Postdoctoral Fellow – Nankai University, Tianjin, China (Dec 2023 – Feb 2026)

• Postdoctoral Fellow – Ferdowsi University of Mashhad, Iran (Dec 2021 – Dec 2022)

Awards

• Top Student in MSc Class, Khansar Campus, University of Isfahan, Iran (2015)

• Distinctive Researcher, University of Kashan, Iran (2018)

• Academic awards of the National Elite Foundation of Iran (2018, 2019, 2020)

Publications

1. Ghalavand, A.; Li, X. On the local metric dimension of K5-free graphs. Discrete Appl. Math.381 (2026), 1-6.

2. Ghalavand, A.; Klavžar, S.; Yang, N. On decycling and forest numbers of Cartesian products of trees. Bull. Malays. Math. Sci. Soc. 48 (2025), no. 6, Paper No. 200.

3. Ghalavand, A.; Li, X. On maximum induced forests of the balanced bipartite graphs. Discrete Appl. Math. 375 (2025), 1-6.

4. Ghalavand, A.; Dimitrov, D.; Hakimi-Nezhaad, M.; Hakimi-Nezhaad, M. Degree scaling irregularities. J. Appl. Math. Comput. 71 (2025), no. 3, 4573-4588.

5. Das, K. C.; Ghalavand, A. On the connection between energy and Zagreb indices of graphs.Appl. Math. Comput. 71 (2025), no. 3, 3555-3575.

6. Das, K. C.; Ghalavand, A.; Tavakoli, M. On the energy and spread of the adjacency, Laplacian and signless Laplacian matrices of graphs. MATCH Commun. Math. Comput. Chem. 92, no. 3, 545-566.

7. Ghalavand, A.; Klavžar, S.; Tavakoli, M. Graphs whose mixed metric dimension is equal to their order. Comput. Appl. Math. 42 (2023), no. 5, Paper No. 210.

8. Ghalavand, A.; Klavžar, S.; Tavakoli, M.; Yero, I. G. On mixed metric dimension in subdivi-sion, middle, and total graphs. Quaest. Math. 46 (2023), no. 12, 2517-2527.

9. Ghalavand, A.; Henning, M. A.; Tavakoli, M. On a conjecture about the local metric dimen-sion of graphs. Graphs Combin. 39 (2023), no. 1, Paper No. 5.

10. Ghalavand, A.; Gutman, I.; Tavakoli, M. Irregularity measure of graphs. J. Math. 2023,Art. ID 4891183.

11. Ghalavand, A.; Ashrafi, A. R.; Dimitrov, D. On the irregularity of graphs based on the arithmetic-geometric mean inequality. Math. Inequal. Appl. 26 (2023), no. 1, 151-160.

12. Ghalavand, A.; Klavžar, S.; Tavakoli, M.; Hakimi-Nezhaad, M.; Hakimi-Nezhaad, M.; Rah-barnia, F. Leap eccentric connectivity index in graphs with universal vertices. Appl. Math.omput. 436 (2023), Paper No. 127519.

13. Das, K. C.; Ghalavand, A.; Ashrafi, A. R. On the number of k-matchings in graphs. Procat. Acad. Sci. India Sect. A 92 (2022), no. 4, 563-570.

14. Ghalavand, A.; Ashrafi, A. R. On a conjecture about degree deviation measure of graphs.rans. Comb. 10 (2021), no. 1, 1–8.

15. Das, K.; Ghalavand, A.; Ashrafi, A. R. On a conjecture about the Sombor index of graphs.ymmetry 13 (2021), no. 10, 1830.

16. Ghalavand, A.; Ashrafi, A. R. Ordering of c-cyclic graphs with respect to total irregularity.Appl. Math. Comput. 63 (2020), no. 1-2, 707-715.

17. Ashrafi, A. R.; Ghalavand, A. Note on non-regular graphs with minimal total irregularity.ppl. Math. Comput. 369 (2020), 124891.

18. Das, K. C.; Ashrafi, A. R.; Ghalavand, A. Comparison between Szeged indices of graphs.uaest. Math. 43 (2020), no. 8, 1031-1046.

19. Ashrafi, A. R.; Elias, M.; Ghalavand, A. Laplacian coefficients and Zagreb indices of trees.inear Multilinear Algebra 67 (2019), no. 9, 1736-1749.

20. Ghalavand, A.; Ashrafi, A. R. Ordering chemical unicyclic graphs by Wiener polarity index.nt. J. Quantum Chem. 119 (2019), no. 17, e25973.

21. Ghalavand, A.; Ashrafi, A. R. Bounds on the Entire Zagreb Indices of Graphs. MATCH Commun. Math. Comput. Chem. 81 (2019), 371-381.

22. Ghalavand, A.; Eliasi, M.; Ashrafi, A. R. First degree-based entropy of graphs. J. Appl.ath. Comput. 59 (2019), no. 1-2, 37-46.

23. Ghalavand, A.; Ashrafi, A. R. Some inequalities between degree- and distance-based topo-logical indices of graphs. MATCH Commun. Math. Comput. Chem. 79 (2018), 399-406.

24. Ghalavand, A.; Ashrafi, A. R. Ordering chemical graphs by Randic and sum-connectivity numbers. Appl. Math. Comput. 331 (2018), 160-168.

25. Ashrafi, A. R.; Ghalavand, A. Ordering chemical trees by Wiener polarity index. Appl. Math.omput. 313 (2017), 301-312.

26. Ghalavand, A.; Ashrafi, A. R. Extremal graphs with respect to variable sum exdeg index via majorization. Appl. Math. Comput. 303 (2017), 19-23.