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Finding a hamiltonian cycle in the square of a block

The subject of the thesis belongs to the theory of graphs. In 1966, C. St. J.A. Nash-Williams conjectured that the square of a block is hamiltonian. This conjecture quickly gained a wide popularity and, at the end of 1970, it was established by H. Fleischner. His proof of the existence of a hamiltonian cycle in the square of a block does not explicitly provide an algorithm for finding the cycle. The thesis will describe such an algorithm, with a running time O(n('2)) on every input with n vertices. For the most part, our algorithm follows closely the original lines of Fleischner's proof. The main difference occurs at the part where Fleischner proves the existence of a certain spanning subgraph in every connected bridgeless graph: we replace Fleischner's argument by a radically different one. This is the main original result of our thesis.

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.68500
Date January 1980
CreatorsLau, H. T. (Hang Tong), 1952-
PublisherMcGill University
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Formatapplication/pdf
CoverageDoctor of Philosophy (School of Computer Science)
RightsAll items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.
Relationalephsysno: 000089124, proquestno: AAINK50482, Theses scanned by UMI/ProQuest.

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