Saturday, January 9, 2010

Some Chemical Applications of Graph Theory


Some Chemical Applications of Graph Theory


 
Mukhtar Mohammad Ahmad Al-Shelleh





Our air was to study, emphasize and describe the relationships between mathematical branch "Graph Theory" and Chemistry. We interest in the matrix representation of the molecular graph. We state and prove powerful theorems to find the eigenvalues and the cigenvectors of the star graph. We deal with the topological indices and relate them to the I) trysico-chemical properties of a molecule.

We suggest that the matrix I3, may be used instead of the distance matrix in a new topological index that was published by Ren (1999). Finally, we believe that this branch of study will grow in future as a modern science. We also wish that Mathematicians and Chemists work and cooperate together in order to improve and get best results in the future.


Mukhtar Mohammad Ahmad Al-Shelleh
Supervisor
Dr. Subhi Ruzieh
September 1999 

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