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UNIVERSITY OF SANTO TOMAS AQUINO.
SCHOOL OF MECHANICAL ENGINEERING, TELECOMMUNICATIONS ENGINEERING SECOND SEMESTER.

DRAFT
Graph theory. 

SUBMITTED TO:
GLORIA TORREZ
LINEAR ALGEBRA SUBMITTED BY:
ANDRES FELIPE CASTELLANOS.
ADOLFO OSORIO.
FLOREZ CAMILO. 

BOGOTA DC: THURSDAY 9 SEPTEMBER 2010

INTRODUCTION.

We propose that the first draft to argue one of the many applicationsof linear algebra, offering real-life situations to apply in such case.
The proposed draft is on the theory of graphs where the matrices are applied, trying to explain the properties of graphs. Itcan be raised in branches of medicine, business, and social sciences. (Applies computational means), graph theory is essential for understanding data and analysis algorithms. It is expressed by means ofvertices and nodes (edges).
It originated as surveying and geometric sample giving a great relationship enters the geometry and topography. 

OBJECTIVES

General objective:
-recognized whenyou can use graph theory in everyday life using matrices and algorithms.

Specific objectives:
-learn how to use graph theory to solve problems such as medicine or business
-that differs reconosethe types of graphs and matrices for use in graph theory
-

THEORETICAL FRAMEWORK

With this work we will investigate matrices graphics or also known as graph matrices. We will also look likearrays consist graphics within this region, as do one of these, and the features that each of the possible solutions. We'll look at different types of matrices graphics:
Multigraph: graph where twodistinct vertices may be joined by more than one edge. Two or more edges joining the same for different vertices are called militaristic.
Pseudograph: an edge can connect a vertex. An edge connecting avertex called loop.
Digraph: A graph in which the edges are ordered pairs. That is, (a, b) different from (b, a).
Graphically, the edges (a, b) is represented by an arrow pointing from a to b. 
A...