Suggested Reading

The following papers (given by arXiv numbers) are ones we would like to see presented in the seminar. Any student unsure of what to present should look through these papers for something that interests them. (This list is in no particular order and is not comprehensive. Suggestions are welcome to Bob at rak5@illinois.edu)

• 2208.11181: "Ramsey numbers upon vertex deletion" by Yuval Wigderson

• 2208.10572: "Balanced supersaturation and Turan numbers in random graphs" by Tao Jiang, Sean Longbrake

• 2208.14266: "Sets Avoiding Full-Rank Three-Point Patterns in (F^n_q)^k Are Exponentially Small" by Mohamed Omar

• 2208.14568: "A remark on the Ramsey number of the hypercube" by Konstantin Tikhomirov

• 2209.05147: "A new upper bound on the minimum degree of minimal Ramsey graphs" by Anurag Bishnoi, Thomas Lesgourgues

• 2212.04397: "The optimal edge-colouring threshold" by Peter Keevash

• 2309.00757: "A Note on Hamiltonian-Intersecting Families of Graphs" by Imre Leader, Žarko Ranđelović, Ta Sheng Tan

• 2208.00117: "Two-Point Concentration of the Independence Number of the Random Graph" by Tom Bohman, Jakob Hofstad

• 2305.18252: "On MaxCut and the Lovász theta function" by Igor Balla, Oliver Janzer, Benny Sudakov

• 2309.05468: "Universality for graphs of bounded degeneracy" by Peter Allen, Julia Böttcher, Anita Liebenau

• 2309.04460: "Essentially tight bounds for rainbow cycles in proper edge-colourings" by Noga Alon, Matija Bucić, Lisa Sauermann, Dmitrii Zakharov, Or Zamir

• 2308.15387: "The power of many colours" by Noga Alon, Matija Bucić, Micha Cristoph, Michael Krivelevich