A Note on Chvátal's Conjecture
(2017) In Bachelor's Theses in Mathematical Sciences MATK01 20171Mathematics (Faculty of Sciences)
- Abstract
- The main purpose of this thesis is to treat and clarify two results found by Hunter Snevily on the open problem of Chvátal's conjecture. Chvátal's conjecture states that a certain class of sets, called ideals, always have a maximum intersecting family of subsets, where all members contain a common element. Such a family of subsets is called a star. Snevily presents his results in an article, the structure of which will be followed when presenting and proving both his and earlier acquired results, constituting the basis of his conclusions.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/student-papers/record/8911861
- author
- Klingberg, Embla LU
- supervisor
- organization
- course
- MATK01 20171
- year
- 2017
- type
- M2 - Bachelor Degree
- subject
- publication/series
- Bachelor's Theses in Mathematical Sciences
- report number
- LUNFMA-4060-2017
- ISSN
- 1654-6229
- other publication id
- 2017:K8
- language
- English
- id
- 8911861
- date added to LUP
- 2017-06-09 17:06:35
- date last changed
- 2017-06-09 17:06:35
@misc{8911861, abstract = {{The main purpose of this thesis is to treat and clarify two results found by Hunter Snevily on the open problem of Chvátal's conjecture. Chvátal's conjecture states that a certain class of sets, called ideals, always have a maximum intersecting family of subsets, where all members contain a common element. Such a family of subsets is called a star. Snevily presents his results in an article, the structure of which will be followed when presenting and proving both his and earlier acquired results, constituting the basis of his conclusions.}}, author = {{Klingberg, Embla}}, issn = {{1654-6229}}, language = {{eng}}, note = {{Student Paper}}, series = {{Bachelor's Theses in Mathematical Sciences}}, title = {{A Note on Chvátal's Conjecture}}, year = {{2017}}, }