Karola Mészáros

 

Flow polytopes of partitions
joint with Connor Simpson and Zoe Wellner.
Preprint.


Schubert polynomials as integer point transforms of generalized permutahedra
joint with Alex Fink and Avery St. Dizier.
Submitted.
Here is the code utilized in the paper.


From generalized permutahedra to Grothendieck polynomials via flow polytopes
joint with Avery St. Dizier.
Submitted.
Here is the code utilized in the paper.


Volumes of generalized Chan-Robbins-Yuen polytopes
joint with Sylvie Corteel and J. S. Kim.
Submitted.

Flow polytopes with Catalan volumes
joint with Sylvie Corteel and J. S. Kim.
Comptes rendus Mathematique, C. R. Acad. Sci. Paris, Ser. I, 355 (2017), no. 3, 248--259.

Flow polytopes and the space of diagonal harmonics
joint with A.H. Morales and R. I. Liu.
Submitted.

On flow polytopes, order polytopes, and certain faces of the alternating sign matrix polytope
joint with A.H. Morales and J. Striker
Submitted.

Toric matrix Schubert varieties and their polytopes
joint with L. Escobar
Proc. Amer. Math. Soc. 144 (2016), no. 12, 5081–-5096

Calculating Greene's function via root polytopes and subdivision algebras
Pacific J. Math., 286 (2017), no. 2, 385--400.

Subword complexes via triangulations of root polytopes
joint with L. Escobar
Submitted.

Pipe dream complexes and triangulations of root polytopes belong together
SIAM J. Discrete Math. 30 (2016), no. 1, 100–-111

The polytope of Tesler matrices
joint with A.H. Morales and B. Rhoades.
Selecta Mathematica, 23 (2017), no. 1, 425--454.
Here is the code utilized in the paper.

SB-labelings and posets with each interval homotopy equivalent to a sphere or a ball
joint with P. Hersh.
J. Combin. Theory Ser. A, accepted.

h-polynomials via reduced forms
Electron. J. Combin. 22 (2015), no. 4, Paper 4.18, 17 pp.

h-polynomials of reduction trees
SIAM J. Discrete Math. 30 (2016), no. 2, 736–762

Subalgebras of the Fomin-Kirillov algebra
joint with J. Blasiak and R. I. Liu.
J. Algebraic Combin. 44 (2016), no. 3, 785–-829

How to decompose a permutation into a pair of labeled Dyck paths by playing a game
joint with L. J. Billera and L. Levine.
Proc. Amer. Math. Soc. 143 (2015), no. 5, 1865--1873

Schur times Schubert via the Fomin-Kirillov algebra
joint with G. Panova and A. Postnikov.
The Electronic Journal of Combinatorics 21(1) (2014), P1.39

Flow polytopes of signed graphs and the Kostant partition function
joint with A.H. Morales.
Int. Math. Res. Notices (2015) no. 3: 830--871
Here is the code utilized in the paper.

Dyck tilings, linear extensions, descents, and inversions
joint with J.S. Kim, G. Panova and D.B. Wilson.
J. Combin. Theory Ser. A 122 (2014), 9-–27


Product formulas for volumes of flow polytopes
Proc. Amer. Math. Soc. 143 (2015), no. 3, 937--954.

Posets, parking functions and the regions of the Shi arrangement revisited
Appeared in a shorter form under the title Labeling the Regions of the Type C Shi Arrangement
The Electronic Journal of Combinatorics, Volume 20, Issue 2 (2013), P31.

Demystifying a divisibility property of the Kostant partition function
Pacific Journal of Mathematics 260-1 (2012) 215-225.

Branched polymers and hyperplane arrangements
joint with A. Postnikov
Discrete & Computational Geometry Volume 50, Issue 1 (2013), Page 22-38.

Root polytopes, triangulations, and the subdivision algebra, II,
Trans. Amer. Math. Soc. 363 (2011) 6111-6141.

Root polytopes, triangulations, and the subdivision algebra, I ,
Trans. Amer. Math. Soc. 363 (2011) 4359-4382.

Chip-firing and rotor-routing on finite digraphs
joint with A. Holroyd, L. Levine, Y. Peres, J. Propp, and D. Wilson.
In and out of Equilibrium II, "Progress in Probability,'' Birkhauser (2008), 331-364.

On the number of genus one labeled circle trees,
The Electronic Journal of Combinatorics, Volume 14 (2007), #R68.

Latin squares and their defining sets
Discrete Mathematics, Volume 308, Issue 12 (2008), 2366-2378.

On low degree k-ordered graphs,
Discrete Mathematics, Volume 308, Issue 12 (2008), 2418-2426.

On 3-regular 4-ordered graphs,
Discrete Mathematics, Volume 308, Issue 11 (2008), 2149-2155.