Extremal Problems in Combinatorics

Lead Research Organisation: University of Cambridge
Department Name: Pure Maths and Mathematical Statistics

Abstract

The project consists of examination of a number of extremal problems. The aim will be to tackle them using direct methods and also probabilistic and algebraic tools. Particular problems will include the Sandglass Conjecture of Simonyi and the Path-Intersection Conjecture of Alon.

Publications

10 25 50
publication icon
Espuny Díaz A (2024) Long running times for hypergraph bootstrap percolation in European Journal of Combinatorics

publication icon
Gowers W (2020) Generalizations of the Ruzsa-Szemerédi and rainbow Turán problems for cliques in Combinatorics, Probability and Computing

publication icon
Janzer B (2021) A note on the orientation covering number in Discrete Applied Mathematics

publication icon
Janzer B (2021) Large hypergraphs without tight cycles in Combinatorial Theory

publication icon
Janzer B (2022) A note on saturation for $k$-wise intersecting families in Combinatorial Theory

publication icon
Janzer B (2020) A NOTE ON ANTICHAINS IN THE CONTINUOUS CUBE in Mathematika

publication icon
Janzer B (2022) The Generalized Rainbow Turán Problem for Cycles in SIAM Journal on Discrete Mathematics

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/N509620/1 01/10/2016 30/09/2022
2261055 Studentship EP/N509620/1 01/10/2019 31/01/2023 Barnabas Janzer
EP/R513180/1 01/10/2018 30/09/2023
2261055 Studentship EP/R513180/1 01/10/2019 31/01/2023 Barnabas Janzer