Professor Edward Farrell

Professor Emeritus

Contact Information

Department of Mathematics and Statistics
The University of The West Indies
St. Augustine, Trinidad and Tobago

Location:DMS
Tel: 662-2002 ext 83553 / 83641
E-mail: edward.farrell@sta.uwi.edu

Educational Background
  • University of Waterloo, Canada, Ph.D. (Mathematics)
  • University of Waterloo, Canada, M. Math (Mathematics and Computer Science)
  • University of the West Indies, St. Augustine, Trinidad B.Sc. General (Mathematics and Physics)
Specializations

General Field: Discrete Mathematics

Special Fields: Graph Theory, Combinatorial Algorithms, 

                         Graph Polynomials

Current Graduate Students
  • Akhenaton Daaga (PhD)
  • Ousha Sinanan (PhD)
  • Jay Coach (PhD)
Recent Publications
(partial list)
  1. E. J. Farrell and C. M. de Matas, On The Thistle Function for Star Polynomials, Bulletin of the ICA, Vol. 34 (2002) 58-70.
  2. E. J. Farrell and C. M. de Matas, Star Decompositions of Suspended Graphs, UItilitas Mathematica, 61 (2002) 181-192.                                    
  3. E. J. Farrell and S. A. Wahid, D-Graphs III, Applications of D-Graphs to Chromatic Theory, Bulletin of the ICA, Vol. 35 (2002) 37-46.
  4. E. J. Farrell, A Note On The Matching Polynomial and Colourability of Graph, Jour. of Math. Sci.Vol. 13 No. 1(2002), 47-50.
  5. E. J. Farrell, A Note On The Characterization of Simple Thistles By The Matching Polynomial, Jour. of Math. Sci.Vol. 13 No. 2(2002), 81-84.
  6. E. J. Farrell, On Clique and Chromatic Coefficients, Bulletin of the ICA, Vol. 38 (2003), 61-70.
  7. E. J. Farrell, The Simple Clique Cover Polynomial, Bulletin of the ICA, Vol. 39 (2003), 7-15.
  8. E. J. Farrell, M. L. Gargano and L.V. Quintas, Spanning Trees in Linear Polygonal Chains. Bulletin of the ICA, Vol. 39 (2003), 67-74.
  9. E. J. Farrell, M. L. Gargano and L.V. Quintas, An Edge Partition Problem Concerning Perfect Matchings, Congressus Numerantium, 157(2002), 33-40..
  10.  E. J. Farrell and J. W. Kennedy, Graphs with Palindromic Matching and Characteristic Polynomials II: Non-Equible Palindromic Graphs, Scientia, Series A: Mathematical Sciences, Vol.6 (1994-2000), 51-72.
  11. E. J. Farrell, M. L. Gargano  and L.V. Quintas, A Note on the Number of Spanning Trees in Long Linear Polygonal Chains, Bulletin of the ICA, Vol. 42 (2004), 106-110.
  12. E. J. Farrell, M. L. Gargano and L.V. Quintas, An Application Of Path Polynomials to Discrete Random Allocation Problems, Utilitas Mathematica 65 (2004), 181-192.
  13. E. J. Farrell, On Relationships Between Clique Polynomials, Adjoint Polynomials and Uniquely Colourable Graphs, Bulletin of the ICA, Vol. 41 (2004), 77-88.
  14. E. J. Farrell, Connections Between Matching, Chromatic, Adjoint and -Polynomials, Utilitas Mathematica 65(2004), 33-40.
  15. E. J. Farrell, M. L. Gargano and L.V. Quintas, An Application Of Star to Discrete Random Allocation Problems, Utilitas Mathematica 67 (2005), 81-96.
  16. E. J. Farrell, M. L. Gargano and L.V. Quintas, Constructions of Connected Graphs With a Given Matchable Ratio, Bulletin of the ICA, Vol. 45 (2005), 56-62.
  17. E. J. Farrell, M. L. Gargano and L.V. Quintas, An Application Of Star Polynomials to a Class of Partition Problems, Bulletin of the ICA. Vol. 53 (2008), 23-30.
  18. E. J. Farrell and S. A. Wahid, Some Further Applications of F-Polynomials to the Investigations of Phase Transitions, Jour. of Mathematical Sciences, Vol.19. No.2 (2008), 207-213.
  19. E. J. Farrell, M. L. Gargano and L.V. Quintas, Bipartite Assembly, Utilitas Mathematica 75 (2008), 3-12.