Jonathan Arbib

CIRCUITS IN COMPLETE GRAPHS AND THEIR RELATIONS TO RAPIDLY-INCREASING SPECIAL FUNCTIONS

Published on http://www.algana.co.uk/Research/research.html

Download Paper – circuits-in-complete-graphs

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This is from work I did last year with class mates. It proved to be really interesting, and possibly the most interesting mathematical topic I ever encountered :-)

ABSTRACT
Author: Professor John Dwyer

In computing, several rapidly-increasing functions are used in areas such as computability, algorithm analysis and tractability. These include Ackerman’s function, Dwyer’s function and Euler’s Gamma function. This paper investigates these functions and compares them asymptotically.

Acknowledgements

Several colleagues and project students contributed to the results detailed in this paper, including Professor Wathek Talebaoui, Danladi Abdulaziz, Karwan Al-Sourchi, Jonathan Arbib, Denka Bancheva, Jordan Berkowitz, Emma Dwyer, Daniel Frincu, Salisu Gambo, Saniul Hossain, Ike Igboanugo, Elyse Loosararian, Alin Petculescu, Vjose Retkoceri, Ademola Shasanya and Long Tran.