Research interests


  • Commutative algebra and its interactions with algebraic topology, algebraic combinatorics and algebraic geometry.

  • Structural graph theory and graph algorithms.


  Papers and preprints


    Under review
  1. Topological complexity of oriented Grassmann manifolds
    (with U.A. Colović and B.I. Prvulović)

    Published or accepted for publication

  1. On the topological complexity and zero-divisor cup-length of real Grassmannians
    Proceedings of the Royal Society of Edinburgh. Section A: Mathematics 153:2 (2023), 702-717.
    Also, here is an extended version of the paper.

  2. On self-maps of complex flag manifolds
    (with M. Milićević)
    Journal of Fixed Point Theory and Applications 25 (2023), Article number: 10.

  3. On endomorphisms of real Grassmannians that commute with Steenrod squares
    (with M. Milićević)
    Bulletin of the Belgian Mathematical Society -- Simon Stevin 29:4 (2022), 471-490.

  4. Higher topological complexities of real Grassmannians and semi-complete real flag manifolds
    Mediterranean Journal of Mathematics 19 (2022), Article number: 272.

  5. The (theta,wheel)-free graphs Part IV: induced paths and cycles
    (with N. Trotignon and K. Vušković)
    Journal of Combinatorial Theory Series B 146 (2021), 495-531.

  6. Gröbner bases for (partial) flag manifolds
    (with B.I. Prvulović and Z.Z. Petrović)
    Journal of Symbolic Computation 101 (2020), 90-108.

  7. On real flag manifolds with cup-length equal to its dimension
    Czechoslovak Mathematical Journal 70:2 (2020), 299-310.

  8. The (theta,wheel)-free graphs Part III: cliques, stable sets and coloring
    (with N. Trotignon and K. Vušković)
    Journal of Combinatorial Theory Series B 143 (2020), 185-218.

  9. The (theta,wheel)-free graphs Part II: structure theorem
    (with N. Trotignon and K. Vušković)
    Journal of Combinatorial Theory Series B 143 (2020), 148-184.

  10. The (theta,wheel)-free graphs Part I: only-prism and only-pyramid graphs
    (with E. Diot, N. Trotignon and K. Vušković)
    Journal of Combinatorial Theory Series B 143 (2020), 123-147.

  11. The structure of (theta, pyramid, 1-wheel, 3-wheel)-free graphs
    (with V. Boncompagni and K. Vušković)
    Journal of Graph Theory 90:4 (2019), 591-628.

  12. On the characteristic rank of vector bundles over oriented Grassmannians
    (with B.I. Prvulović)
    Fundamenta Mathematicae 244 (2019), 167-190.

  13. Characteristic rank of canonical vector bundles over oriented Grassmann manifolds G3,n
    (with B.I. Prvulović and Z.Z. Petrović)
    Topology and its Applications 230 (2017), 114-121.

  14. On rank-width of (diamond, even hole)-free graphs
    (with I. Adler, N.K. Le, H. Müller, N. Trotignon and K. Vušković)
    Discrete Mathematics and Theoretical Computer Science 19:1 (2017), article #24.

  15. Recurrence formulas for Kostka and inverse Kostka numbers via quantum cohomology of Grassmannians
    (with Z.Z. Petrović)
    Algebras and Representation Theory 20:2 (2017), 257-273.

  16. On maximality of the cup-length of flag manifolds
    (with B.I. Prvulović and Z.Z. Petrović)
    Acta Mathematica Hungarica 149:2 (2016), 448-461.

  17. On the Z2-cohomology cup-length of some real flag manifolds
    Filomat 30:6 (2016), 1577-1590.

  18. Gröbner bases for some flag manifolds and applications
    Mathematica Slovaca 36:5 (2016), 1065-1082.

  19. Multiplication in the cohomology of Grassmannians via Gröbner bases
    (with B.I. Prvulović and Z.Z. Petrović)
    Journal of Algebra 438 (2015), 60-84.

  20. On the genus of the intersection graph of a commutative ring
    (with A. Erić and Z. Pucanović)
    Journal of Algebra and its Applications 13:5 (2014), 20 p.

  21. Linear balanceable and subcubic balanceable graphs
    (with P. Aboulker, N. Trotignon, T. Trunck and K. Vušković)
    Journal of Graph Theory 75:2 (2014), 150-166.

  22. A class of three-colorable triangle-free graphs
    (with K. Vušković)
    Journal of Graph Theory 72:4 (2013), 430-439.

  23. Graphs that do not contain a cycle with a node that has at least two neighbors on it
    (with P. Aboulker, N. Trotignon and K. Vušković)
    SIAM Journal of Discrete Mathematics 26:4 (2012), 1510-1531.