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Tag Archives: finite geometry
Ryser’s conjecture
I am on a research visit in Rome, working with Valentina Pepe, and our joint paper on Ryser’s conjecture is on arXiv now. So this seems like the right time to talk about the conjecture and the problems related to … Continue reading
Wenger graphs
A central (and foundational) question in extremal graph theory is the forbidden subgraph problem of Turán, which asks for the largest number of edges in an -vertex graph that does not contain any copy of a given graph as its … Continue reading
Introduction to polynomial method
(The following is a blog-friendly version of Chapter 7 of my PhD thesis, which is an introduction to the so-called polynomial method.) The polynomial method is an umbrella term for different techniques involving polynomials which have been used to solve … Continue reading
What I have learned in finite geometry
On September 2nd, 2014 I wrote a blog post titled learning finite geometry, in which I described how much I have learned in my first year of PhD and more importantly, the topics that I wish to learn while I … Continue reading
Posted in Combinatorics, Finite Geometry, Incidence Geometry, Research Diary
Tagged blocking set, combinatorics, finite geometry, learning, PhD, polar spaces, unitals
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The Cage Problem
I recently finished my research visit to UWA where I worked with John Bamberg and Gordon Royle on some finite geometrical problems related to cages. So this seems like the right time for me to write a blog post about … Continue reading
Posted in Combinatorics, Finite Geometry
Tagged cage, finite geometry, Gordon Royle, Graph Theory, John Bamberg, Moore graphs
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