Jonathan Arbib

Tag: Euler

Circuits in Complete Graphs and the Dwyer Function

by on May.30, 2008, under Papers & Research

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

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 :-)

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.

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Counting the Number of Euler Circuits in Complete Graphs

by on May.29, 2008, under Papers & Research

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.

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News Item

Author: Professor John Dwyer

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Euler Circuits White Board Fun

by on Mar.23, 2007, under Papers & Research

Having some fun on the White board at Richmond University after working for a few hours on Euler Circuits… :)

euler1

euler2

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