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Number of items: 69.
Journal Article
Conley, Clinton T., GrebΓk, Jan and Pikhurko, Oleg (2024) Divisibility of spheres with measurable pieces. L'Enseignement Mathematique . doi:10.4171/LEM/1058 ISSN 0013-8584. (In Press)
Grzesik, Andrzej, Kral, Daniel and Pikhurko, Oleg (2024) Forcing generalized quasirandom graphs efficiently. Combinatorics, Probability and Computing, 33 (1). pp. 16-31. doi:10.1017/S0963548323000263 ISSN 0963-5483.
Pikhurko, O. and Staden, K. (2024) Exact solutions for the Erdos-Rothschild problem. Forum of Mathematics, Sigma, 12 . e8. doi:10.1017/fms.2023.117 ISSN 2050-5094 .
Liu, Hong, Pikhurko, Oleg, Sharifzadeh, Maryam and Staden, Katherine (2023) Stability from graph symmetrisation arguments with applications to inducibility. Journal of the London Mathematical Society, 108 (3). pp. 1121-1162. doi:10.1112/jlms.12777 ISSN 0024-6107.
Pikhurko, Oleg (2023) On the limit of the positive β-degree TurΓ‘n problem. Electronic Journal of Combinatorics, 30 (3). P3.25. doi:10.37236/11912 ISSN 1077-8926.
Gil Fernandez, I., Hyde, J., Liu, H., Pikhurko, O. and Wu, Z. (2023) Disjoint isomorphic balanced clique subdivisions. Journal of Combinatorial Theory, Series B, 161 . pp. 417-436. doi:10.1016/j.jctb.2023.03.002 ISSN 0095-8956.
FalgasβRavry, Victor, Pikhurko, Oleg, Vaughan, Emil and Volec, Jan (2023) The codegree threshold of K_4-. Journal of the London Mathematical Society, 107 (5). pp. 1660-1691. doi:10.1112/jlms.12722 ISSN 1469-7750.
Pikhurko, Oleg and Staden, Katherine (2023) Stability for the ErdΕs-Rothschild problem. Forum of Mathematics, Sigma, 11 . e23. doi:10.1017/fms.2023.12 ISSN 2050-5094 .
Liu, Xixhi and Pikhurko, Oleg (2023) Hypergraph TurΓ‘n densities can have arbitrarily large algebraic degree. Journal of Combinatorial Theory, Series B, 161 . pp. 407-416. doi:10.1016/j.jctb.2023.03.003 ISSN 0095-8956.
Gil Fernandez, Irene, Kim, Jaehoon, Liu, Hong and Pikhurko, Oleg (2023) New lower bounds on kissing numbers and spherical codes in high dimensions. American Journal of Mathematics . ISSN 0002-9327. (In Press)
Grabowski, Lukasz, MΓ‘thΓ©, AndrΓ‘s and Pikhurko, Oleg (2022) Measurable equidecompositions for group actions with an expansion property. Journal of the European Mathematical Society, 24 (12). pp. 4277-4326. doi:10.4171/JEMS/1189 ISSN 1435-9855.
Cooley, Oliver, Kang, Mihyun and Pikhurko, Oleg (2022) On a question of Vera T. Sos about size forcing of graphons. Acta Mathematica Hungarica, 168 . pp. 1-26. doi:10.1007/s10474-022-01265-8 ISSN 0236-5294.
Blumenthal, Adam, LidickΓ½, Bernard, Pehova, Yanitsa, Pfende, Florian, Pikhurko, Oleg and Volec, Jan (2021) Sharp bounds for decomposing graphs into edges and triangles. Combinatorics, Probability and Computing, 30 (2). 271 -287. doi:10.1017/S0963548320000358 ISSN 0963-5483.
Kim, Jaehoon, Liu, Hong, Pikhurko, Oleg and Sharifzadeh, Maryam (2020) Asymptotic structure for the Clique Density Theorem. Discrete Analysis . doi:10.19086/da.18559 ISSN 2397-3129.
Grebik, Jan and Pikhurko, Oleg (2020) Measurable versions of Vizing's theorem. Advances in Mathematics, 374 . 107378. doi:10.1016/j.aim.2020.107378 ISSN 0001-8708.
Kang, Mihyun, Makai, TamΓ‘s and Pikhurko, Oleg (2020) Supersaturation problem for the bowtie. European Journal of Combinatorics, 88 . 103107. doi:10.1016/j.ejc.2020.103107 ISSN 0195-6698.
Banakh, Taras, Idzik, Adam, Pikhurko, Oleg, Protasov, Igor and Pszczola, Krzysztof (2020) Isometric copies of directed trees in orientations of graphs. Journal of Graph Theory, 94 (2). pp. 175-191. doi:10.1002/jgt.22513 ISSN 0364-9024.
Liu, Hong, Pikhurko, Oleg and Staden, Katherine (2020) The exact minimum number of triangles in graphs with given order and size. Forum of Mathematics, Pi, 8 . e8. doi:10.1017/fmp.2020.7 ISSN 2050-5086.
Liu, Hong, Pikhurko, Oleg and Sharifzadeh, Maryam (2019) Edges not in any monochromatic copy of a fixed graph. Journal of Combinatorial Theory, Series B, 135 . pp. 16-43. doi:10.1016/j.jctb.2018.07.007 ISSN 0095-8956.
Pikhurko, Oleg, SliaΔan, Jakub and Tyros, Konstantinos (2019) Strong forms of stability from flag algebra calculations. Journal of Combinatorial Theory Series B, 135 . pp. 129-178. doi:10.1016/j.jctb.2018.08.001 ISSN 0095-8956.
Chervak, Ostap, Pikhurko, Oleg and Staden, Katherine (2019) Minimum number of additive tuples in groups of prime order. The Electronic Journal of Combinatorics, 26 (1). ISSN 2150-959X.
Naves, Humberto, Pikhurko, Oleg and Scott, Alex (2018) How unproportional must a graph be? European Journal of Combinatorics, 73 . pp. 138-152. doi:10.1016/j.ejc.2018.05.007 ISSN 0195-6698.
Naves, Humberto, Pikhurko, Oleg and Scott, Alex (2018) How unproportional must a graph be? European Journal of Combinatorics, 73 . pp. 138-152. doi:10.1016/j.ejc.2018.05.007 ISSN 0195-6698.
Pikhurko, Oleg, Staden, Katherine and Yilma, Zelealem B. (2017) The Erdos-Rothschild problem on edge-colourings with forbidden monochromatic cliques. Mathematical Proceedings of the Cambridge Philosophical Society, 163 (2). pp. 341-356. doi:10.1017/S0305004116001031 ISSN 0305-0041.
Grabowski, Lukasz, MΓ‘thΓ©, AndrΓ‘s and Pikhurko, Oleg (2017) Measurable circle squaring. Annals of Mathematics, 185 (2). pp. 671-710. doi:10.4007/annals.2017.185.2.6 ISSN 0003-486X.
Pikhurko, Oleg and Yilma, Zelealem B. (2017) Supersaturation problem for color-critical graphs. Journal of Combinatorial Theory, Series B, 123 . pp. 148-185. doi:10.1016/j.jctb.2016.12.001 ISSN 0095-8956.
Pikhurko, Oleg and Razborov, Alexander (2017) Asymptotic structure of graphs with the minimum number of triangles. Combinatorics, Probability and Computing, 26 (1). pp. 138-160. doi:10.1017/S0963548316000110 ISSN 0963-5483.
Csoka, Endre, Lippner, Gabor and Pikhurko, Oleg (2016) KΕnig's Line Coloring and Vizing's Theorems for Graphings. Forum of Mathematics, Sigma, 4 . e27. doi:10.1017/fms.2016.22 ISSN 2050-5094 .
DeCorte, E. and Pikhurko, Oleg (2016) Spherical sets avoiding a prescribed set of angles. International Mathematics Research Notices, 2016 (20). pp. 6095-6117. doi:10.1093/imrn/rnv319 ISSN 1073-7928.
Liu, Henry, Pikhurko, Oleg and Sousa, Teresa (2015) Monochromatic clique decompositions of graphs. Journal of Graph Theory, 80 (4). pp. 287-298. doi:10.1002/jgt.21851 ISSN 0364-9024.
Falgas-Ravry, Victor, Marchant, Edward, Pikhurko, Oleg and Vaughan, Emil R. (2015) The codegree threshold for 3-graphs with independent neighborhoods. SIAM Journal on Discrete Mathematics, 29 (3). pp. 1504-1539. doi:10.1137/130926997 ISSN 0895-4801.
Balogh, JΓ³zsef, Hu, Ping, Lidicky, Bernard, Pikhurko, Oleg, Udvari, BalΓ‘zs and Volec, Jan (2015) Minimum number of monotone subsequences of length 4 in permutations. Combinatorics, Probability and Computing, 24 (4). pp. 658-679. doi:10.1017/S0963548314000820 ISSN 0963-5483.
HladkΓ½, Jan, MΓ‘thΓ©, AndrΓ‘s, Patel, Viresh and Pikhurko, Oleg (2015) Poset limits can be totally ordered. American Mathematical Society. Transactions, 367 (6). pp. 4319-4337. doi:10.1090/S0002-9947-2015-06299-0 ISSN 0002-9947.
Pikhurko, Oleg (2015) The maximal length of a gap between r-graph TurΓ‘n densities. Electronic Journal of Combinatorics, 22 (4). P4.15. ISSN 1077-8926.
Heise, C. G., Panagiotou, Konstantinos, Pikhurko, Oleg and Taraz, Anusch (2014) Coloring d-embeddable k-uniform hypergraphs. Discrete & Computational Geometry, 52 (4). pp. 663-679. doi:10.1007/s00454-014-9641-2 ISSN 0179-5376.
Cooper, Alec S., Pikhurko, Oleg, Schmitt, John R. and Warrington, Gregory S. (2014) Martin Gardnerβs minimum No-3-in-a-line problem. The American Mathematical Monthly, 121 (3). pp. 213-221. doi:10.4169/amer.math.monthly.121.03.213 ISSN 0002-9890.
Pikhurko, Oleg (2014) On possible Turan densities. Israel Journal of Mathematics, 201 . pp. 415-454. doi:10.1007/s11856-014-0031-5 ISSN 0021-2172.
Litwack, K, Pikhurko, Oleg and Pongnumkul, S (2014) How to play Dundee. Australasian Journal of Combinatorics, 115 . pp. 63-88. ISSN 1034-4942.
Pikhurko, Oleg and Vaughan, Emil (2013) Minimum number of k-Cliques in graphs with bounded independence number. Combinatorics, Probability and Computing, Volume 22 (Number 6). pp. 910-934. doi:10.1017/S0963548313000357 ISSN 0963-5483.
Dudek, Andrzej, Pikhurko, Oleg and Thomason, Andrew (2013) On minimum saturated matrices. Graphs and Combinatorics, Volume 29 (Number 5). pp. 1269-1286. doi:10.1007/s00373-012-1199-2 ISSN 0911-0119.
KrΓ‘lβ, Daniel and Pikhurko, Oleg (2013) Quasirandom permutations are characterized by 4-point densities. Geometric and Functional Analysis, Volume 23 (Number 2). pp. 570-579. doi:10.1007/s00039-013-0216-9 ISSN 1016-443X.
Pikhurko, Oleg (2013) Exact computation of the hypergraph TurΓ‘n function for expanded complete 2-graphs. Journal of Combinatorial Theory, Series B, Volume 103 (Number 2). pp. 220-225. doi:10.1016/j.jctb.2012.09.005 ISSN 0095-8956.
Pikhurko, Oleg and Yilma, Z. B. (2012) The maximum number of K3-free and K4-free edge 4-colorings. Journal of the London Mathematical Society, Vol.83 (No.3). pp. 593-615. doi:10.1112/jlms/jdr031 ISSN 0024-6107.
Pikhurko, Oleg (2012) A note on the TurΓ‘n function of even cycles. Proceedings of the American Mathematical Society, Vol.140 (No.11). pp. 3687-3692. doi:10.1090/S0002-9939-2012-11274-2 ISSN 0002-9939.
Pikhurko, Oleg (2011) The minimum size of 3-graphs without a 4-set spanning no or exactly three edges. European Journal of Combinatorics, Vol.32 (No.7). pp. 1142-1155. doi:10.1016/j.ejc.2011.03.006 ISSN 0195-6698.
Kang, Minkyung, Pikhurko, Oleg, Ravsky, A., Schacht, M. and Verbitsky, O. (2011) Untangling planar graphs from a specified vertex position β hard cases. Discrete Applied Mathematics, Vol.159 (No.8). pp. 789-799. doi:10.1016/j.dam.2011.01.011 ISSN 0166-218X.
Haxell, Penny, Pikhurko, Oleg and Taraz, Anusch (2011) Primality of trees. Journal of Combinatorics, Vol.2 (No.4). pp. 481-500. ISSN 2156-3527.
Bohman, Tom, Fonoberova, Maria and Pikhurko, Oleg (2011) The saturation function of complete partite graphs. Journal of Combinatorics, Vol.1 (No.2). pp. 149-170. doi:10.1137/090751530 ISSN 1942-5600.
Pikhurko, Oleg (2010) An analytic approach to stability. Discrete Mathematics, Vol.310 (No.21). pp. 2951-2964. doi:10.1016/j.disc.2010.07.002 ISSN 0012-365X.
Loh, P.-S., Pikhurko, Oleg and Sudakov, B. (2010) Maximizing the number of q-colorings. Proceedings of the London Mathematical Society, Vol.101 (No.3). pp. 655-696. doi:10.1112/plms/pdp041 ISSN 0024-6115 .
Bohman, Tom, Frieze, Alan, Pikhurko, Oleg and Smyth, Cliff (2010) Anti-Ramsey properties of random graphs. Journal of Combinatorial Theory, Series B, Vol.100 (No.3). pp. 299-312. doi:10.1016/j.jctb.2009.09.002 ISSN 0095-8956.
Bohman, Tom, Frieze, Alan, Mubayi, Dhruv and Pikhurko, Oleg (2010) Hypergraphs with independent neighborhoods. Combinatorica, Vol.30 (No.3). pp. 277-293. doi:10.1007/s00493-010-2474-6 ISSN 0209-9683.
Pikhurko, Oleg (2010) Finding an unknown acyclic orientation of a given graph. Combinatorics, Probability and Computing, Vol.19 (No.1). pp. 121-131. doi:10.1017/S0963548309990289 ISSN 0963-5483.
Bohman, Tom, Dudek, Andrzej, Frieze, Alan and Pikhurko, Oleg (2010) Flips in graphs. SIAM Journal on Discrete Mathematics, Vol.24 (No.3). pp. 1046-1055. doi:10.1137/090752237 ISSN 0895-4801.
Jiang, Tao, Pikhurko, Oleg and Yilma, Zelealem (2010) Set systems without a strong simplex. SIAM Journal on Discrete Mathematics, Vol.24 (No.3). pp. 1038-1045. doi:10.1137/090760775 ISSN 0895-4801.
Jiang, Tao and Pikhurko, Oleg (2009) Anti-Ramsey numbers of doubly edge-critical graphs. Journal of Graph Theory, Vol.61 (No.3). pp. 210-218. doi:10.1002/jgt.20380 ISSN 0364-9024.
Pikhurko, Oleg and VerstraΓ«te, Jacques (2009) The maximum size of hypergraphs without generalized 4-cycles. Journal of Combinatorial Theory, Series A, Vol.116 (No.3). pp. 637-649. doi:10.1016/j.jcta.2008.09.002 ISSN 0097-3165.
Beveridge, Andrew, Bohman, Tom, Frieze, Alan and Pikhurko, Oleg (2009) Memoryless rules for achlioptas processes. SIAM Journal on Discrete Mathematics, Vol.23 (No.2). pp. 993-1008. doi:10.1137/070684148 ISSN 0895-4801.
FΓΌredi, Zoltan, Mubayi, Dhruv and Pikhurko, Oleg (2008) Quadruple systems with independent neighborhoods. Journal of Combinatorial Theory, Series A, Vol.115 (No.8). pp. 1552-1560. doi:10.1016/j.jcta.2008.01.008 ISSN 0097-3165.
Bednarska, MaΕgorzata and Pikhurko, Oleg (2008) Odd and even cycles in MakerβBreaker games. European Journal of Combinatorics, Vol.29 (No.3). pp. 742-745. doi:10.1016/j.ejc.2007.02.017 ISSN 0195-6698.
Pikhurko, Oleg (2008) An exact TurΓ‘n result for the generalized triangle. Combinatorica, Vol.28 (No.2). pp. 187-208. doi:10.1007/s00493-008-2187-2 ISSN 0209-9683.
Haxell, Penny, Pikhurko, Oleg and Thomason, Andrew (2008) Maximum acyclic and fragmented sets in regular graphs. Journal of Graph Theory, Vol.57 (No.2). pp. 149-156. doi:10.1002/jgt.20271 ISSN 0364-9024.
Mubayi, Dhruv and Pikhurko, Oleg (2008) Constructions of non-principal families in extremal hypergraph theory. Discrete Mathematics, Vol.308 (No.19). pp. 4430-4434. doi:10.1016/j.disc.2007.08.040 ISSN 0012-365X.
Beveridge, Andrew, Bohman, Tom, Frieze, Alan and Pikhurko, Oleg (2008) Game chromatic index of graphs with given restrictions on degrees. Theoretical Computer Science, Vol.407 (No.1-3). pp. 242-249. doi:10.1016/j.tcs.2008.05.026 ISSN 0304-3975.
Beveridge, Andrew and Pikhurko, Oleg (2008) On the connectivity of extremal Ramsey graphs. Australasian Journal of Combinatorics, Vol.41 . pp. 57-61. ISSN 1034-4942.
Pikhurko, Oleg (2008) Perfect matchings and K 4 3 -Tilings in hypergraphs of large codegree. Graphs and Combinatorics, Vol.24 (No.4). pp. 391-404. doi:10.1007/s00373-008-0787-7 ISSN 0911-0119.
Pikhurko, Oleg and Schmitt, John A note on minimum K2,3-saturated graphs. Australasian Journal of Combinatorics, Vol.40 . pp. 211-215. ISSN 1034-4942.
Book Item
Pikhurko, Oleg and Verbitsky, O. (2011) Logical complexity of graphs : a survey. In: Grohe, Martin and Makowsky, Johann A., (eds.) Model theoretic methods in finite combinatorics : AMS-ASL joint special session, January 5-8, 2009, Washington, DC. Contemporary mathematics, Vol.558 . Providence, R.I.: American Mathematical Society, pp. 129-180. ISBN 9780821849439
Submitted Journal Article
Pikhurko, Oleg and Yilma, Z. B. Supersaturation problem for color-critical graphs.
This list was generated on Wed Apr 17 14:35:01 2024 BST.