Graph polynomials,
Symmetry breaking of graphs,
Graph coloring,
Counting parameteres.
Основные темы научной работы
Graph Theory and Combinatorics
Основные публикации:
S. Alikhani, S. Klavzar, F. Lehner, S. Soltani, “Trees with distinguishing index equal distinguishing number plus one”, Discussiones Mathematicae Graph Theory, 40 (2020), 875–884
S. Alikhani and S. Jahari, “Domination polynomial of clique cover product of graphs”, Algebra and Discrete Mathematics, 28:2 (2019), 248-259
S. Alikhani, K. Mynhardt, D. Fatehi, “On $k$-total dominating graphs”, The Australasian Journal of Combinatorics, 73:2 (2019), 313-333
S. Alikhani, S. Soltani, “Symmetry breaking in planar and maximal outerplanar graphs”, Discrete Mathematics, Algorithms and Applications, 10:6 (2019), 1950008
S. Alikhani, S. Soltani, “Stabilizing the distinguishing number of a graph”, Communications in Algebra, 46:12 (2018), 5460–5468