#### Filter Results:

- Full text PDF available (5)

#### Publication Year

2002

2014

- This year (0)
- Last 5 years (2)
- Last 10 years (4)

#### Publication Type

#### Co-author

#### Journals and Conferences

#### Key Phrases

Learn More

- Scott A Stevens, Michelle Previte, William D Lakin, Nimish J Thakore, Paul L Penar, Brandon Hamschin
- Mathematical medicine and biology : a journal of…
- 2007

Idiopathic intracranial hypertension (IIH) is a syndrome of unknown etiology characterized by elevated intracranial pressure (ICP). Although a stenosis of the transverse sinus has been observed in many IIH patients, the role this feature plays in IIH is in dispute. In this paper, a lumped-parameter model is developed for the purpose of analytically… (More)

- Michelle Previte, Sean Yang
- The American Mathematical Monthly
- 2008

1. INTRODUCTION. For more than twenty years, fractals have intrigued mathematicians and nonmathematicians alike due to their inherent beauty and widespread appearance in nature and computer graphics. Intuitively, a fractal is a geometric object with intricate detail on an arbitrarily small scale and some measure of self-similarity. Formally, a fractal is a… (More)

- Joseph P. Previte, Michelle Previte, Mary Vanderschoot
- Journal of Graph Theory
- 2013

In this paper, we give necessary and sufficient conditions that determine when a vertex replacement rule given by exactly one replacement graph generates an infinite graph with exponential growth and when it generates an infinite graph with polynomial growth. We also compute the formula for the growth degree of infinite graphs with polynomial growth that… (More)

In this paper, we describe a copy-and-paste method for constructing a class of infinite self-similar trees. A copy-paste tree is constructed by repeatedly attaching copies of a finite tree (called a generator) to certain designated attachment vertices. We show that each generator has an associated nonnegative matrix which can be used to determine a formula… (More)

In 1998, J. Previte developed a framework for studying the dynamics of iterated replacements of certain vertices in a finite graph G by a finite graph H (see [3]). He showed that, except for special cases, the sequence of graphs formed by iterating vertex replacements converges in the Gromov-Hausdor¤ metric. In this paper we prove that the topological… (More)

- ‹
- 1
- ›