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Thesis

Topics in extremal graph theory and probabilistic combinatorics

Abstract:

This thesis considers a variety of problems in Extremal Graph Theory and Probabilistic Combinatorics. Most of these problems are structural in nature, but some concern random reconstruction and parking problems.

A matching in a bipartite graph G = (U, V, E) is a subset of the edges where no two edges meet, and each vertex from U is in an edge. A classical result is Hall’s Theorem [30] which gives necessary and sucient conditions for the existence of a matching. In Chap...

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Division:
MPLS
Department:
Mathematical Institute
Department:
Mathematical Institute, University of Oxford. Merton College, University of Oxford.
Role:
Author

Contributors

Department:
Mathematical Institute, University of Oxford. Merton College, University of Oxford.
Role:
Contributor, Supervisor
Department:
School of Mathematics, University of Birmingham
Role:
Contributor
Department:
Centre for Mathematics, University of Cambridge. Sidney Sussex College, University of Cambridge.
Role:
Contributor
Department:
Department of Statistics, University Oxford. Corpus Christi College, University of Oxford.
Role:
Examiner
Department:
Mathematics Institute, University of Warwick.
Role:
Examiner
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:0c91c4de-456e-4e3f-b1d1-aa0516e70f1c
Deposit date:
2019-07-15

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