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Final Project Outline

Mathematician: Brian Alspach

Brian Alspach is one of the most influential graph theorists of the past four decades. His works and fundamental discoveries have had significant impact on several mainstream subjects of graph theory.

1. Early life

2. Education

a) Undergraduate

b) Graduate

c) Doctorate

3. Career

4. Mathematical contributions

Cycle decomposition Cycle decomposition of K_n & K_n-I.

Establishment of necessary and sufficient conditions for decomposing the complete graph of even order minus a 1-factor into even cycles and the complete graph of odd order into odd cycles

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 '''Cycle decomposition'''
+''
-Cycle decomposition of  K_n  & K_n-I.
+Cycle decomposition of  K_n  & K_n-I.''
 Establishment of necessary and sufficient conditions for decomposing the complete graph of even order minus a 1-factor into even cycles and the complete graph of odd order into odd cycles