Sample Essay on:
The Future of Graph Theory in the Realm of Computer Science

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Essay / Research Paper Abstract

This 3 page paper defines and explores graph theory in mathematics. How it applies to computer science, and where it can take it in the future, is the focus of this paper. Bibliography lists 4 sources.

Page Count:

3 pages (~225 words per page)

File: RT13_SA311grp.rtf

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Unformatted sample text from the term paper:

in the field, there are many applications yet to be explored. In fact, one can say that perhaps graph theory as used in computer science is in its infancy. Who will benefit from the application of graph theory in the future? The answer is that to some extent everyone will benefit. It will open doors for computer scientists which will help to change life for the average person. The ramifications will likely be significant but are hard to pin down. One example is that people can expect fancier networks in the years to come as a result of the application of the mathematical principle. Beyond that, much depends on the development of other aspects in computer technology. In exploring how graph theory will affect computer science in the future, it is important to understand the concept. First, what is graph theory? Graph Theory is a branch of mathematics that supports the notion that a graph has no relation to graphs that chart data ("Graph," 2003). Rather, in Graph Theory, a graph consists of a collection of dots that may or may not be connected to one another with the use of lines (2003). The size of the dots is irrelevant nor is it important as to how long the lines are (2003). This idea is contrary to most other forms of mathematics such as what is found in geometry. What does matter however is "which dots are connected by which lines" (2003, p.PG). One important rule is that one dot can be connected by only one line (2003). In looking at graph theory one has to wonder what its use is and how it is applicable to computer science. Sometimes examples can help. A counting problem in graph theory, for ...

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