Here is the list of my published and submitted papers in the
anti-chronological
order. Full text (pre-publication versions) is
available on-line.

- (with K.Staden) Exact solutions for the Erdos-Rothschild problem, 53pp.
- (with K.Staden) Stability for the Erdos-Rothschild problem, 50pp.
- (with O.Cooley and M.Kang) On a question of Vera T. Sos about size forcing of graphons, 22pp
- (with J.Grebik) Large Deviation Principles for Block and Step Graphon Random Graph Models, 17pp
- (with H.Liu, M.Sharifzadeh and K.Staden) Stability from graph symmetrisation arguments with applications to inducibility, 41pp
- (with C.T.Conley and J.Grebik) Divisibility of Spheres with Measurable Pieces, 31pp
- (with E.Csoka, L.Grabowski, A.Mathe and K.Tyros) Borel version of the Local Lemma, 26pp.

- (with L.Grabowski and A.Mathe) Measurable equidecompositions for group actions with an expansion property, accepted by Journal of Eur Math Soc, 48pp.

- Borel Combinatorics of Locally Finite Graphs, in "Surveys in Combinatorics 2021" (edited by K.K.Dabrowski et al), the invited volume of the 28th British Combinatorial Conference, pages 267-319
- (with A.Blumenthal, B.Lidicky, Y.Pehova, F.Pfender and J.Volec) Sharp bounds for decomposing graphs into edges and triangles, Combin Prob Comput, 30 (2021) 271-287

- (with J.Kim, H.Liu and M.Sharifzadeh) Asymptotic Structure for the Clique Density Theorem, Discrete Analysis (2020) Paper 19, 26pp
- (with J.Grebik) Measurable versions of Vizing's theorem, Advances in Mathematics, 374 (2020) Paper 107378, 40pp
- (with H.Liu and K.Staden) The exact minimum number of triangles in graphs of given order and size, Forum of Math, Pi 8 (2020) Paper e8, 144pp.
- (with M.Kang and T.Makai) Supersaturation Problem for the Bowtie, European J Comb 88 (2020) paper 103107, 27pp.
- (with T.Banakh, A.Idzik, I.Protasov and K.Pszczola) Isometric copies of directed trees in orientations of graphs, J Graph Theory 94 (2020) 175-191.
- (with P.Bennett, A.Dudek and B.Lidicky) Minimizing the number of 5-cycles in graphs with given edge-density, Combin Prob Comput 29 (2020) 44-67.

- (with O.Chervak and K.Staden)
Minimum number of additive
tuples in groups of prime order,
*Electr J Combin*, 26 (2019) Paper 1.30, 15pp - (with H.Liu and M.Sharifzadeh) Edges not in any monochromatic copy of a fixed graph, J Comb Th (B) 135 (2019) 16-43.
- (with J.Sliacan and K.Tyros) Strong Forms of Stability from Flag Algebra Calculations, J Comb Th (B) 135 (2019) 129-178 (Certificates for verifying computer-generated proofs).

- (with H.Naves and A.Scott) How unproportional must a graph be?, Europ J Comb 73 (2018) 138-152.

- (with K.Staden and Z.Yilma)
The Erdos-Rothschild problem
on edge-colourings with forbidden monochromatic cliques,
*Math Proc of Cambridge Phil Soc*, 163 (2017) 341-356. - (with L.Grabowski and A.Mathe)
Measurable
circle squaring,
*Annals of Mathematics*, 185 (2017) 671-710. - (with Z.Yilma) Supersaturation
Problem for Color-Critical Graphs,
*J Comb Th (B),*123 (2017) 148-185. - (with A.Razborov) Asymptotic Structure of Graphs
with the Minimum Number of Triangles,
*Combinat Probab Computing*, 26 (2017) 138-160.

- (with E.DeCorte) Spherical
sets avoiding a prescribed set of angles,
*International Mathematics Research Notices*, 2016 (2016) 6095-6117. - (with E.Csoka and G.Lippner) Konig's
Line Coloring and Vizing's Theorems for Graphings,
*Forum of Mathematics, Sigma,*4 (2016), 40pp.

- The maximal length of a
gap between r-graph Turan densities,
*Electr J Combin*, 22 (2015) 7pp. - (with H.Liu and T.Sousa)
Monochromatic
Clique Decompositions of Graphs,
*J Graph Theory*, 80 (2015) 287-298. - (with V.Falgas-Ravry, E.Marchant and E.Vaughan)
The codegree threshold for 3-graphs with independent neighbourhoods,
*SIAM J Discr Math*, 23 (2015) 1504-1539, certificates. - (with J.Balogh, P.Hu, B.Lidicky, B.Udvari and J.Volec)
Minimum number of monotone subsequences of length 4 in permutations,
*Combinat Probab Computing*, 24 (2015) 658-679. - (with J.Hladky, A.Mathe and V.Patel) Poset limits can be totally ordered,
*Trans Amer Math Soc*, 367 (2015) 4319-4337

- (with C.G.Heise, K.Panagiotou and A.Taraz)
Coloring d-Embeddable k-Uniform Hypergraphs,
*Discr Comput Geometry*, 52 (2014) 663-679. - On Possible Turan Densities,
*Israel J Math*, 201 (2014) 415-454. - (with K.Litwack and S.Pongnumkul) How to Play Dundee,
*Ars Combinatoria*, 115 (2014) 63-88. - (with A.Cooper, J.Schmitt, G.Warrington) Martin Gardner's
Minimum No-3-in-a-line Problem,
*Amer Math Monthly*, 121 (2014) 213-221.

- (with E.R.Vaughan) Minimum Number of k-Cliques in Graphs with
Bounded Independence Number,
*Combinat Prob Comput*, 22 (2013) 910-934 (certificates for verifying computer-generated proofs). - (with A.Dudek and A.Thomason)
On Minimum Saturated Matrices,
*Graphs & Comb*, 29 (2013) 1269-1286. - (with D.Kral')
Quasirandom Permutations Are Characterized by 4-Point Densities,
*Geometric Funct Analysis*, 23 (2013) 570-579. - Exact Computation of the Hypergraph Turan
Function
for
Expanded Complete 2-Graphs,
*J Comb Th (B)*, 103 (2013) 220-225. See its history.

- A Note on the Turan Function of Even
Cycles,
*Proc Amer Math Soc*, 140 (2012) 3687-3992. - (with Z.Yilma) The Maximum Number of K_3-Free
and K_4-Free Edge 4-Colorings,
*J London Math Soc*, 85 (2012) 593-615.

- (with P.Haxell and A.Taraz) Primality
of Trees,
*Journal of Combinatorics*, 2 (2011) 481-500. - (with O.Verbitsky)
Logical complexity of graphs: a survey,
*"Model Theoretic Methods in Finite Combinatorics"*, M.Grohe and J.Makowsky (editors), AMS Comtemporary Mathematics Series, 558 (2011) 129-179. - The Minimum Size of 3-Graphs without a 4-Set
Spanning No or Exactly Three Edges,
*Europ J Comb*, 23 (2011) 1142-1155. - (with M.Kang, O.Ravsky, M.Schacht and O.Verbitsky)
Untangling planar graphs from a specified vertex position
- Hard cases,
*Discr Applied Math*, 159 (2011) 789-799.

- (with P.-S. Loh and B.Sudakov)
Maximizing
the Number of q-Colorings,
*Proc London Math Soc*, 101 (2010) 655-696. - (with T.Bohman, A.Frieze and D.Mubayi) Hypergraphs with
independent neighborhoods,
*Combinatorica*, 30 (2010) 277-293. - (with T.Bohman and M.Fonoberova)
The Saturation Function of Complete Partite Graphs,
*Journal of Combinatorics*, 1 (2010) 149-170. - An Analytic Approach to Stability,
*Discrete Math*, 310 (2010) 2951-2964. - (with T.Jiang and Z.Yilma)
Set Systems without
a Strong Simplex,
*SIAM J Discr Math*, 24 (2010) 1038-1045. - (with T.Bohman, A.Dudek and A.Frieze)
Flips in Graphs,
*SIAM J Discr Math*, 24 (2010) 1046-1055. - (with T.Bohman, A.Frieze, and C.Smyth)
Anti-Ramsey Properties of Random Graphs,
*J Comb Th (B)*, 100 (2010) 299-312. - Finding an Unknown Acyclic
Orientation of a Given
Graph,
*Comb, Prob & Comput*, 19 (2010) 121-131.

- (with T.Jiang) Anti-Ramsey numbers of doubly edge-critical graphs,
*J Graph Th*, 61 (2009) 210-218. - (with A.Beveridge, T.Bohman, A.Frieze)
Memoryless Rules for Achlioptas Processes,
*SIAM J Discr Math*, 23 (2009) 993-1008. - (with J.Verstraete) The Maximum Size of Hypergraphs
without Generalized 4-Cycles,
*J Comb Th (A)*, 116 (2009) 637-649.

- (with A.Beveridge, T.Bohman, A.Frieze) Game Chromatic Index of
Graphs with Given Restrictions on
Degrees,
*Theoret Computer Sci*, 407 (2008) 242-249. - (with Z.Furedi and D.Mubayi)
Quadruple Systems with Independent Neighborhoods,
*J Comb Th (A)*, 115 (2008) 1552-1560. - Perfect Matchings and K_4^3-Tilings in
Hypergraphs of
Large Codegree,
*Graphs & Comb*, 24 (2008) 391-404. - (with D.Mubayi) Constructions of
Non-Principal Families
in Extremal Hypergraph Theory,
*Discr Math*, 308 (2008) 4430-4434. - (with A.Beveridge) The Connectivity of Extremal
Ramsey Graphs,
*Autralasian J Comb*, 41 (2008) 57-62. - An Exact Turan Result for the Generalized Triangle,
*Combinatorica*, 28 (2008) 187-208. - (with M.Bednarska) Odd and Even
Cycles in Maker-Breaker
Games,
*Europ J Comb*, 29 (2008) 742-745. - (with J.Schmitt)
A Note on Minimum K_{2,3}-Saturated
Graphs,
*Australasian J Comb*, 40 (2008) 211-215. - (with P.Haxell and A.Thomason) Maximum
Acyclic and Fragmented Sets
in Regular Graphs,
*J Graph Th*, 57 (2008) 149-156.

- Characterization of Product
Anti-Magic
Graphs of Large Order,
*Graphs & Comb*, 23 (2007) 681-689. - (with J.Spencer and O.Verbitsky) Decomposable
graphs
and
definitions with no quantifier alternation,
*Europ J Comb*, 28 (2007) 2264-2283. (Conference version (EuroComb'05),*Discr Math and Theoretical Comput Sci*,**AE**(2005) 25-30.) - (with F.Lazebnik and A.Woldar) Maximum
Number of Colorings of
(2k,k^2)-Graphs,
*J Graph Th*, 56 (2007) 135-148. - (with T.Sousa) Minimum
H-Decompositions of Graphs,
*J Comb Th (B)*,**97**(2007) 1041-1055. - (with A.Beveridge, T.Bohman, A.Frieze) Product
Rule Wins a Competitive Game,
*Proc Amer Math Soc*,**135**(2007) 3061-3071. -
(with T.Schoen)
Integer Sets
Having the Maximum Number of Distinct Differences,
*Integers*,**7**(2007) 9pp. - (with D.Mubayi) A new generalization of
Mantel's
theorem to k-graphs,
*J Comb Th (B)*,**97**(2007) 669-678. - (with T.Bohman, A.Frieze, T.Luczak, C.Smyth, J.Spencer, and
O.Verbitsky) First Order Definability of Trees and
Sparse Random Graphs,
*Comb, Prob & Comput*,**16**, (2007) 375-400. - Trees Are Almost Prime,
*Discr Math*,**307**(2007) 1455-1462.

- (with J.Wojciechowski) Edge-Bandwidth of
Grids and Tori,
*Theoret Computer Sci*,**369**(2006) 35-43. - (with Z.Furedi and M.Simonovits) 4-Books of
Three Pages,
*J Comb Th (A)*,**113**(2006) 882-891. - (with J.Spencer and O.Verbitsky) Succinct
Definitions in the First Order Theory
of Graphs,
*Annals Pure Appl Logic*,**139**(2006) 74-109. - (with H.Veith and O.Verbitsky) The First Order
Definability of Graphs:
Upper Bounds for Quantifier Rank,
*Discr Appl Math*,**154**(2006) 2511-2529. - Dense Edge-Magic Graphs and Thin Additive
Bases,
*Discr Math*,**306**(2006) 2097-2107.

- (with A.Taraz) Degree Sequences
of F-Free Graphs,
*Electronic J Comb*,**12**(2005) 12pp. - (with M.Kang) Maximum K_{r+1}-Free Graphs
Which Are Not
r-Partite,
*Mat Studii*,**24**(2005) 12-20. - Minimizing the
Number of Partial Matchings in Bipartite Graphs,
*Bulletin of ICA*,**43**(2005) 13-18. - (with Z.Furedi and M.Simonovits) On
Triple Systems with Independent
Neighborhoods,
*Comb, Prob & Comput*,**14**(2005) 795-813. - (with B.Bollobas) Integer Sets with
Prescribed Pairwise
Differences Being Distinct,
*Europ J Comb*,**26**(2005) 607-616. - (with O.Verbitsky) Descriptive Complexity of
Finite Structures:
Saving the Quantifier Rank,
*J Symb Logic*,**70**(2005) 419-450. - (with J.H.Kim, J.Spencer and O.Verbitsky) How
Complex are Random Graphs in First Order
Logic?,
*Random Struc Alg*,**26**(2005) 119-145. - (with C.Greenhill) Bounds on the
Generalised Acyclic
Chromatic Numbers of Bounded Degree Graphs,
*Graphs & Comb*,**21**(2005) 407-419. - (with A.Frieze, M.Krivelevich and T.Szabo) The Game of JumbleG,
*Comb, Prob & Comp*,**14**(2005) 783-793. - Generating Edge-Labeled Trees,
*American Math. Monthly*,**112**(2005) 919-921. - (with M.Bednarska) Biased
Positional Games on Matroids,
*Europ J Comb*,**26**(2005) 271-285.

- Results and Open Problems on Minimum
Saturated
Graphs,
*Ars Comb*,**72**(2004) 111-127.

- (with Z.Furedi and M.Simonovits) The Turan
Density of
the Hypergraph {abc,ade,bde,cde},
*Electronic J Comb*,**10**(2003) 7pp. - Breaking Symmetry on Complete
Bipartite
Graphs of Odd Size,
*Integers*,**3**(2003) 9pp. - (with R.Diestel) On the Cofinality of
Infinite
Partially Ordered Sets: Factoring a Poset into Lean Essential Subsets,
*Order*,**20**(2003) 53-66. - Further Asymptotic Size Ramsey Results
Obtained
via
Linear Programming,
*Discr Math*,**273**(2003) 193-202. - (with A.Kovacec, J.Merikoski and A.Virtanen) Optimizers
for Sub-Sums Subjected to a Sum- and a Schur Convex Constraint with
Applications
to the Estimation of Eigenvalues,
*Math Inequalities & Applications*,**6**(2003) 745-763. - Remarks on a Paper by H. Bielak on Size
Ramsey
Numbers,
*Periodica Math Hung*,**47**(2003) 195-200. - Size Ramsey Numbers of Stars versus
4-Chromatic
Graphs,
*J Graph Th*,**42**(2003) 220-233.

- Asymptotic Size Ramsey Results for
Bipartite
Graphs,
*SIAM J Discr Math*,**16**(2002) 99-113. - Every Tree with at Most 34 Vertices is Prime,
*Utilitas Math,***62**(2002) 185-190. - (with A.Thomason) Disjoint Subgraphs of Large
Maximum
Degree,
*Discr Math,***248**(2002) 125-141.

- Lattice Points in Lattice Polytopes,
*Mathematika,***48**(2001) 15-24. - Constructing Designs Straightforwardly:
Worst
Arising
Cases,
*J Comb Designs,***9**(2001) 100-106. - Size Ramsey Numbers of Stars versus
3-Chromatic Graphs,
*Combinatorica*,**21**(2001) 403-412. - Uniform Families and Count Matroids,
*Graphs & Comb*,**17**(2001) 729-740. - Weakly Saturated Hypergraphs and Exterior
Algebra,
*Comb, Prob & Comp,***10**(2001) 435-451.

- Asymptotic Evaluation of the sat-Function
for
r-Stars,
*Discr Math*,**214**(2000) 275-278. - On Envy-Free Cake Division,
*American Math Monthly,***107**(2000) 736-738.

- The Minimum Size of Saturated Hypergraphs
*,**Comb, Prob & Comp*,**8**(1999) 483-492. - On Edge Decompositions of Posets
*, Order*,**16**(1999) 231-244. - Enumeration of Labelled (k,m)-Trees
*, J Comb Th (A),***86**(1999) 197-199.

- (with T.Banakh) On Linear
Functorial
Operators Extending Pseudometrics
*, Comment. Math. Univ. Carolinae*,**38**(1997) 343-348.

- Extending Metrics in Compact Pairs
*,**Mat Studii,***3**(1994) 103-106. - Operators Extending (Pseudo-)Metrics
*,*in*Proc. All-Ukrainian Conf. Young Researchers (Math)*, 1994, N 1302 YK-94, Part 1, pages 10-16.

- (with M.Zarichnyi) On
Lifting of Functors at
Categories of Eilenberg-Moore
of the Triple Generated by CpCp
*, Ukrainian Math J*,**44**(1992) 1289-1291.

- (with L.Grabowski and A.Mathe) Measurable equidecompositions via combinatorics and group theory, 6pp.
- Borsuk's Conjecture Fails in Dimensions 321 and 322, arXiv:math.CO/0202112, 3pp.
- (with B.Sudakov and D.Mubayi) Hypergraph Turan Problem: Some Open Questions, 17pp.
- (with J.Nesetril and B.Szegedy) Graph Limits: Some Open Questions, 5pp.