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dc.contributor.supervisor Kopotun, Kirill (Mathematics) en_US
dc.contributor.author Melnykova, Kateryna
dc.date.accessioned 2012-09-20T15:27:45Z
dc.date.available 2012-09-20T15:27:45Z
dc.date.issued 2012-09-20
dc.identifier.uri http://hdl.handle.net/1993/8893
dc.description.abstract This thesis is devoted to investigation of some properties of the permanent function over the set Omega_n of n-by-n doubly stochastic matrices. It contains some basic properties as well as some partial progress on Foregger's conjecture. CONJECTURE[Foregger] For every n\in N, there exists k=k(n)>1 such that, for every matrix A\in Omega_n, per(A^k)<=per(A). In this thesis the author proves the following result. THEOREM For every c>0, n\in N, for all sufficiently large k=k(n,c), for all A\in\Omega_n which minimum nonzero entry exceeds c, per(A^k)<=per(A). This theorem implies that for every A\in\Omega_n, there exists k=k(n,A)>1 such that per(A^k)<=per(A). en_US
dc.rights info:eu-repo/semantics/openAccess
dc.subject permanent en_US
dc.subject linear algebra en_US
dc.subject doubly stochastic matrix en_US
dc.title Notes on Foregger's conjecture en_US
dc.type info:eu-repo/semantics/masterThesis
dc.degree.discipline Mathematics en_US
dc.contributor.examiningcommittee Gunderson, David (Mathematics) Brewster, John (Statistics) en_US
dc.degree.level Master of Science (M.Sc.) en_US
dc.description.note October 2012 en_US


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