TY  - JOUR
AU  - Pešović, Marko
AU  - Stojadinović, Tanja
PY  - 2023
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/3110
AB  - This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the graph and the last is the graph–associahedron associated to it. We describe the weighted integer points enumerators for polytopes in this collection as Hopf algebra morphisms of combinatorial Hopf algebras of decorated graphs. In the last section, we study some properties related to H–polytopes.
PB  - Turkish Journal of Mathematics
T2  - Turkish Journal of Mathematics
T1  - Between graphical zonotope and graph-associahedron
DO  - mat-2304-5
ER  - 

@article{
author = "Pešović, Marko and Stojadinović, Tanja",
year = "2023",
abstract = "This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the graph and the last is the graph–associahedron associated to it. We describe the weighted integer points enumerators for polytopes in this collection as Hopf algebra morphisms of combinatorial Hopf algebras of decorated graphs. In the last section, we study some properties related to H–polytopes.",
publisher = "Turkish Journal of Mathematics",
journal = "Turkish Journal of Mathematics",
title = "Between graphical zonotope and graph-associahedron",
doi = "mat-2304-5"
}

Pešović, M.,& Stojadinović, T.. (2023). Between graphical zonotope and graph-associahedron. in Turkish Journal of Mathematics
Turkish Journal of Mathematics..
https://doi.org/mat-2304-5

Pešović M, Stojadinović T. Between graphical zonotope and graph-associahedron. in Turkish Journal of Mathematics. 2023;.
doi:mat-2304-5 .

Pešović, Marko, Stojadinović, Tanja, "Between graphical zonotope and graph-associahedron" in Turkish Journal of Mathematics (2023),
https://doi.org/mat-2304-5 . .

TY  - JOUR
AU  - Pucanović, Zoran
AU  - Pešović, Marko
PY  - 2022
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2703
AB  - This paper connects two attractive topics in applied mathematics, r-circulant matrices and the
Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials
of the first or second kind are considered. Then, estimates for spectral norm bounds of such
matrices are presented. The relevance of the obtained results was verified by applying them to
some of the previous results on r-circulant matrices involving various integer sequences. The
acquired results justify the usefulness of the applied approach
PB  - Applied Mathematics and Computation
T2  - Applied Mathematics and Computation
T1  - Chebyshev polynomials and r-circulant matrices
DO  - 10.1016/j.amc.2022.127521
ER  - 

@article{
author = "Pucanović, Zoran and Pešović, Marko",
year = "2022",
abstract = "This paper connects two attractive topics in applied mathematics, r-circulant matrices and the
Chebyshev polynomials. The r-circulant matrices whose entries are the Chebyshev polynomials
of the first or second kind are considered. Then, estimates for spectral norm bounds of such
matrices are presented. The relevance of the obtained results was verified by applying them to
some of the previous results on r-circulant matrices involving various integer sequences. The
acquired results justify the usefulness of the applied approach",
publisher = "Applied Mathematics and Computation",
journal = "Applied Mathematics and Computation",
title = "Chebyshev polynomials and r-circulant matrices",
doi = "10.1016/j.amc.2022.127521"
}

Pucanović, Z.,& Pešović, M.. (2022). Chebyshev polynomials and r-circulant matrices. in Applied Mathematics and Computation
Applied Mathematics and Computation..
https://doi.org/10.1016/j.amc.2022.127521

Pucanović Z, Pešović M. Chebyshev polynomials and r-circulant matrices. in Applied Mathematics and Computation. 2022;.
doi:10.1016/j.amc.2022.127521 .

Pucanović, Zoran, Pešović, Marko, "Chebyshev polynomials and r-circulant matrices" in Applied Mathematics and Computation (2022),
https://doi.org/10.1016/j.amc.2022.127521 . .

TY  - JOUR
AU  - Pešović, Marko
AU  - Stojadinović, Tanja
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2334
AB  - To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.
PB  - Applicable Analysis and Discrete Mathematics
T2  - Applicable Analysis and Discrete Mathematics
T1  - Weighted P-partitions enumerator
DO  - https://doi.org/10.2298/AADM200525013P
ER  - 

@article{
author = "Pešović, Marko and Stojadinović, Tanja",
year = "2021",
abstract = "To an extended generalized permutohedron we associate the weighted integer points enumerator, whose principal specialization is the f-polynomial. In the case of poset cones it refines Gessel's P-partitions enumerator. We show that this enumerator is a quasisymmetric function obtained by universal morphism from the Hopf algebra of posets.",
publisher = "Applicable Analysis and Discrete Mathematics",
journal = "Applicable Analysis and Discrete Mathematics",
title = "Weighted P-partitions enumerator",
doi = "https://doi.org/10.2298/AADM200525013P"
}

Pešović, M.,& Stojadinović, T.. (2021). Weighted P-partitions enumerator. in Applicable Analysis and Discrete Mathematics
Applicable Analysis and Discrete Mathematics..
https://doi.org/https://doi.org/10.2298/AADM200525013P

Pešović M, Stojadinović T. Weighted P-partitions enumerator. in Applicable Analysis and Discrete Mathematics. 2021;.
doi:https://doi.org/10.2298/AADM200525013P .

Pešović, Marko, Stojadinović, Tanja, "Weighted P-partitions enumerator" in Applicable Analysis and Discrete Mathematics (2021),
https://doi.org/https://doi.org/10.2298/AADM200525013P . .

TY  - JOUR
AU  - Pešović, Marko
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2333
AB  - For a hypergraphic polytope there is a weighted quasisymmetric
function which enumerates positive integer points in its normal fan
and determines its f −polynomial. This quasisymmetric function
invariant of hypergraphs extends the Stanley chromatic symmetric
function of simple graphs. We consider a certain combinatorial
Hopf algebra of hypergraphs and show that universal morphism to
quasisymmetric functions coincides with this enumerator function.
We calculate the f −polynomial of uniform hypergraphic polytopes.
PB  - Mathematical Institute of the Serbian Academy of Sciences and Arts
T2  - Publications de l'Institut Mathematique
T1  - Integer points enumerator of hypergraphic polytopes
DO  - https://doi.org/10.2298/PIM200205001P
ER  - 

@article{
author = "Pešović, Marko",
year = "2021",
abstract = "For a hypergraphic polytope there is a weighted quasisymmetric
function which enumerates positive integer points in its normal fan
and determines its f −polynomial. This quasisymmetric function
invariant of hypergraphs extends the Stanley chromatic symmetric
function of simple graphs. We consider a certain combinatorial
Hopf algebra of hypergraphs and show that universal morphism to
quasisymmetric functions coincides with this enumerator function.
We calculate the f −polynomial of uniform hypergraphic polytopes.",
publisher = "Mathematical Institute of the Serbian Academy of Sciences and Arts",
journal = "Publications de l'Institut Mathematique",
title = "Integer points enumerator of hypergraphic polytopes",
doi = "https://doi.org/10.2298/PIM200205001P"
}

Pešović, M.. (2021). Integer points enumerator of hypergraphic polytopes. in Publications de l'Institut Mathematique
Mathematical Institute of the Serbian Academy of Sciences and Arts..
https://doi.org/https://doi.org/10.2298/PIM200205001P

Pešović M. Integer points enumerator of hypergraphic polytopes. in Publications de l'Institut Mathematique. 2021;.
doi:https://doi.org/10.2298/PIM200205001P .

Pešović, Marko, "Integer points enumerator of hypergraphic polytopes" in Publications de l'Institut Mathematique (2021),
https://doi.org/https://doi.org/10.2298/PIM200205001P . .

TY  - THES
AU  - Pešović, Marko
PY  - 2021
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/2367
T1  - Kombinatorika uopštenih permutoedara
UR  - https://hdl.handle.net/21.15107/rcub_grafar_2367
ER  - 

@phdthesis{
author = "Pešović, Marko",
year = "2021",
title = "Kombinatorika uopštenih permutoedara",
url = "https://hdl.handle.net/21.15107/rcub_grafar_2367"
}

Pešović, M.. (2021). Kombinatorika uopštenih permutoedara. .
https://hdl.handle.net/21.15107/rcub_grafar_2367

Pešović M. Kombinatorika uopštenih permutoedara. 2021;.
https://hdl.handle.net/21.15107/rcub_grafar_2367 .

Pešović, Marko, "Kombinatorika uopštenih permutoedara" (2021),
https://hdl.handle.net/21.15107/rcub_grafar_2367 .

TY  - JOUR
AU  - Vladimir, Gujić
AU  - Marko, Pešović
AU  - Tanja, Stojadinović
PY  - 2020
UR  - https://grafar.grf.bg.ac.rs/handle/123456789/1740
AB  - We introduce a weighted quasisymmetric enumerator function associated to generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. Beside that it carries information of face
numbers of generalized permutohedra. We consider more systematically the cases of nestohedra and matroid base polytopes.
PB  - Springer
T2  - Journal of Algebraic Combinatorics
T1  - Weighted quasisymmetric enumerator for generalized permutohedra
EP  - 272
SP  - 247
VL  - 51
DO  - 10.1007/s10801-019-00874-x
ER  - 

@article{
author = "Vladimir, Gujić and Marko, Pešović and Tanja, Stojadinović",
year = "2020",
abstract = "We introduce a weighted quasisymmetric enumerator function associated to generalized permutohedra. It refines the Billera, Jia and Reiner quasisymmetric function which also includes the Stanley chromatic symmetric function. Beside that it carries information of face
numbers of generalized permutohedra. We consider more systematically the cases of nestohedra and matroid base polytopes.",
publisher = "Springer",
journal = "Journal of Algebraic Combinatorics",
title = "Weighted quasisymmetric enumerator for generalized permutohedra",
pages = "272-247",
volume = "51",
doi = "10.1007/s10801-019-00874-x"
}

Vladimir, G., Marko, P.,& Tanja, S.. (2020). Weighted quasisymmetric enumerator for generalized permutohedra. in Journal of Algebraic Combinatorics
Springer., 51, 247-272.
https://doi.org/10.1007/s10801-019-00874-x

Vladimir G, Marko P, Tanja S. Weighted quasisymmetric enumerator for generalized permutohedra. in Journal of Algebraic Combinatorics. 2020;51:247-272.
doi:10.1007/s10801-019-00874-x .

Vladimir, Gujić, Marko, Pešović, Tanja, Stojadinović, "Weighted quasisymmetric enumerator for generalized permutohedra" in Journal of Algebraic Combinatorics, 51 (2020):247-272,
https://doi.org/10.1007/s10801-019-00874-x . .