Graph Theory College Essays Samples For Students

1.0 Introduction
Many sports played across the world that involves throwing, hitting and kicking are done so using a ball. However, many parameters such as humidity, materials of manufacture of the ball, size of the ball, etc. control the movement of the ball in air. Research on golf balls and tennis balls reveal their aerodynamic properties and the various parameters affecting their flight. The effect of seams on a baseball on the flight has been evaluated along with the relationship between rotation and lateral forces (Watts & Sawyer 1987). Similar studies have also been conducted on cricket balls, rugby balls, volleyballs ...

The Graph below represents a map of Manhattan and four surrounding land masses with bridges and tunnels connecting to Manhattan.

Key
NJ- New Jersey LT-Lincoln Tunnel
M-Manhattan BBT- Brooklyn Battery tunnel
BR- Brooklyn BB- Brooklyn Bridge
B- Bronx WB-Williamsburgh Bridge
Q-Queens QMT-Queens Midtown Tunnel
QB-Queensbrough Bridge WAB-Willis Avenue Bridge
TB-Triborough Bridge TAB- Third Avenue Bridge
GW- George Washington Bridge HT-Holland Tunnel
- The degree of a vertex implies the number of edges joined to that vertex.

The degrees of vertices in the Graph above are as follows are:

- Vertex M is of degree 13
- Vertex B is of degree 4
- Vertex Br is of degree 4
- Vertex Q is of degree 4
- Vertex NJ ...