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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.^[1]

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

^ http://www.sciencedirect.com/science/article/pii/S0095895600919968

[1] ttp://www.sciencedirect.com/science/article/pii/S0095895600919968

[1]

Revision as of 01:39, 20 March 2014 edit Qadir Hosseini1360 (talk \| contribs) 69 edits No edit summary ← Previous edit		Revision as of 01:43, 20 March 2014 edit undo Qadir Hosseini1360 (talk \| contribs) 69 edits No edit summary Next edit →
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	'''Cycle decomposition of K_n & K_n-I.'''		'''Cycle decomposition of K_n & K_n-I.'''<ref>http://www.sciencedirect.com/science/article/pii/S0095895600919968</ref>

	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		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