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Abstract

This thesis improves on the best result of an open problem, showing that Hamiltonian graphs with low independence number are pancyclic. It also describes graphs with the most triangle-free 5- and 6-colourings and generalises a packing theorem for degenerate graphs from graphs to hypergraphs.

Details

1010268
Identifier / keyword
Title
Extremal Problems in Graph Theory and a Hypergraph Packing Problem
Publication year
2021
Degree date
2021
School code
0649
Source
DAI-C 84/5(E), Dissertation Abstracts International
University/institution
London School of Economics and Political Science (United Kingdom)
University location
England
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Note
Bibliographic data provided by EThOS, the British Library’s UK thesis service. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.850226
Dissertation/thesis number
30216433
ProQuest document ID
2732212274
Document URL
https://www.proquest.com/dissertations-theses/extremal-problems-graph-theory-hypergraph-packing/docview/2732212274/se-2?accountid=208611
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Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Database
ProQuest One Academic