- Abstract:
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This thesis is primarily concerned with correlation inequalities between the number of homomorphic copies of different graphs. In particular, many of the results relate to a beautiful conjecture of Sidorenko, which roughly states that the number of copies of a bipartite graph H in a graph G is asymptotically minimised when G is the Erdos Reyni random graph.
The first part of the thesis discusses recent approaches to attack Sidorenko's conjecture. We firstly prove that every gr...
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- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Subjects:
- Copyright date:
- 2017
Thesis
Sidorenko's conjecture, graph norms, and pseudorandomness
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