Abstract
In graph theory, a long standing problem has involved finding
a closed form expression for the number of Euler circuits in
Kn. The solution presented here comprises a function D(x,y)
that has several interesting applications in computing.
Author: Professor John Dwyer
This project was born from the love of computing and communications, and the thrills of being able to overcome security measures in communication systems. The purpose of this project is to prove that it is possible for individuals to break though the barriers of GSM (Global System for Mobile communication) protection systems using common and publicly available tools. It has to be said in advance that devices able to intercept GSM conversations do exist; nonetheless these devices are only available to law enforcement agencies and special services.
Download PDF (2 MB)
Links:
http://lukenotricks.blogspot.com/2008/08/long-tail-of-vulnerability-for-a51.html
http://wiki.thc.org/gsm
http://cryptome.info/0001/a51-bsw/a51-bsw.htm
Redirecting…
Paper published 
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.pdf
News item on Richmond Website
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 
Author: Professor John Dwyer
ABSTRACT
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.
Having some fun on the White board at Richmond University after working for a few hours on Euler Circuits…
