<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Substructure Densities in Extremal Combinatorics

Name: Substructure Densities in Extremal Combinatorics
Creator: Timothy Fong Nam Chan
Keywords: FOS: Mathematics, QA, 10104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)

descriptionPublicationkeyboard_double_arrow_right Thesis 01 Jan 2021Publisher:Monash University

Authors: Timothy Fong Nam Chan;

doi: 10.26180/14810964 , 10.26180/14810964.v1

Substructure Densities in Extremal Combinatorics

- Summary
- Subjects
- Metrics

Abstract

One of the primary goals of combinatorial mathematics is to understand how an object's properties are influenced by the presence or multiplicity of a given substructure. Over time, it has become popular to highlight the asymptotic behaviour of objects by expressing results in terms of the density of substructures. In this thesis, we investigate three topics concerning combinatorial density: We study the interplay between the densities of cycles of length 3 and 4 in large tournaments, we characterise quasirandomness in permutations, and we solve two open problems about the inducibility of trees.

Keywords

FOS: Mathematics, QA, 10104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green