Browse Dissertations and Theses - Mathematics by Title

• (1999)
What is the maximum number of edges in a multigraph on n vertices if every k-set spans at most r edges? We asymptotically determine this maximum for almost all k and r as n tends to infinity, thus giving a generalization ...

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• (2010-08-20)
We consider a variety of problems in extremal graph and set theory. The {\em chromatic number} of $G$, $\chi(G)$, is the smallest integer $k$ such that $G$ is $k$-colorable. The {\it square} of $G$, written $G^2$, ...

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• (2003)
Let F be a family of translates of a fixed convex set in the plane, and let G be the intersection graph of F . We studied the chromatic number of the complement of G. We also studied the transversal number of F , ...

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• (2014-09-16)
We study several problems in extremal graph theory. Chapter 2 studies Tuza's Conjecture, which states that if a graph G does not contain more than k edge-disjoint triangles, then G can be made triangle-free by deleting ...

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• (2011-08-25)
In the ﬁrst part of this thesis we generalize a theorem of Kiming and Olsson concerning the existence of Ramanujan-type congruences for a class of eta quotients. Speciﬁcally, we consider a class of generating functions ...

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• (2008)
In this thesis, firstly we derive a general method for establishing q-series identities. Using this method, we can show that if Zn can be taken as the disjoint union of a lattice generated by n linearly independent vectors ...

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• (1984)
A method is provided for the practical computation of the coefficients for a number of structural polynomials of the universal (lamda)-ring in one indeterminant. In particular, we derive a method for the computation of the ...

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• (2002)
Also we prove that c (1) has at most eta( c ) distinct prime divisors and 1 ∈ {ai | i = 1,...,eta( c )} if G is solvable and c (1) > 1.

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• (1958)

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• (1972)

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• (1981)
This thesis is devoted to the study of varieties with the following property: if X is a smooth projectively normal variety in ('n), we say that X has the length one projection property if every isomorphic projection ...

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• (1955)

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• (1970)

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• (1974)

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• (1988)
Let Y$\sp{\rm (n)}$ be the 1 x n matrix containing indeterminate entries $\{$Y$\sb1,\dots$,Y$\sb{\rm n}\}$ and X$\sp{\rm (n)}$ be the n x n alternating matrix containing indeterminate entries $\{$X$\sb{\rm ij}\vert$1 $\leq$ ...

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• (1980)
This thesis concerns the relationship between pairs of projectively equivalent Riemannian or Lorentz metrics that share some property along a hypersurface of a manifold. The first chapter is devoted to the construction of ...

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• (1970)

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• (1993)
A holomorphic mapping f from a bounded domain D in $\doubc\sp{n}$ to a bounded domain $\Omega$ in $\doubc\sp{N}$ is proper if the sequence $\{f(zj)\}$ tends to the boundary of $\Omega$ for every sequence $\{zj\}$ which ...

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• (1990)
A holomorphic mapping f from a bounded domain $\Omega$ in C$\sp{\rm n}$ to a bounded domain $\Omega\sp\prime$ in C$\sp{\rm N}$ is proper if and only if (f(z$\sb\nu$)) tends to the boundary b$\Omega\sp\prime$ for each ...

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• (1970)

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