# Browse Dissertations and Theses - Mathematics by Title

• (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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• (2014-09-16)
Let $\mathcal{A}$ be a finite subset of $\mathbb{N}$ including $0$ and $f_\mathcal{A}(n)$ be the number of ways to write $n=\sum_{i=0}^{\infty}\epsilon_i2^i$, where $\epsilon_i\in\mathcal{A}$. The sequence \$\left(f_\mat ...

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• (1968)

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• (2012-05-22)
In this dissertation, we consider an applied problem, namely, pursuit-evasion games. These problems are related to robotics, control theory and computer simulations. We want to find the solution curves of differential ...

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