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A Note on Chvátal's Conjecture

Klingberg, Embla LU (2017) In Bachelor's Theses in Mathematical Sciences MATK01 20171
Mathematics (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.
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author
Klingberg, Embla LU
supervisor
organization
course
MATK01 20171
year
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},
}