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Thesis

Problems in extremal and probabilistic combinatorics

Abstract:

In this thesis we consider some problems in extremal and probabilistic combinatorics.

In Chapter 2 we determine the maximum number of induced cycles that can be contained in a graph on nn0 vertices, and show that there is a unique graph that achieves this maximum. This answers a question of Tuza.

Let Qd denote the hypercube of dimension d. Given dm, a spanning subgraph G of Q...

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Division:
MPLS
Department:
Mathematical Institute
Department:
Mathematical Institute
Role:
Contributor, Author
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Role:
Contributor, Author

Contributors

Department:
University of Oxford
Role:
Supervisor


Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford


UUID:
uuid:83970d50-71d0-4511-9545-5358c3073343
Deposit date:
2018-04-18

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