Education

• Ph.D. in Combinatorics and Optimization, University of Waterloo, 1982

Research Interests

• Graph Theory
• Combinatorics
• Mathematical Problem Solving

Research Description

Graph Theory and Graph Theory Algorithms, particularly Dirac-type conditions and long cycles, independence ratio in triangle-free graphs.

Recent Publications

• Curran, Stephen J.; Gray, Daniel; Locke, Stephen C.; Low, Richard M.  Pyramid Nim.  Integers 22 (2022), Paper No. G2, 15 pp.
• Locke, S. C.; Handley, B..  Amalgamation NIM.  Integers 21 (2021), Paper No. G2, 14 pp.
• Low, Richard M.; Kapbasov, Ardak; Kapbasov, Arman; Locke, Stephen C.; Chan, W. H. A codex of  N- and  P-positions in Harary's `caterpillar game'  Integers 21 (2021), Paper No. G1, 26 pp.

• S.J. Curran, D. Gray, S.C. Locke, R.M. Low. Pyramid Nim. Submitted to Integers, August 2021. 15 pp.  Abstract.

• S.J. Curran, S.C. Locke.  C4-face-magic labelings on even order projective grid graphs. Submitted to PROMS  (Proceedings in Mathematics and Statistics), June 2021, 25 pp.   Abstract.

• S.C. Locke, B. Handley. Amalgamation Nim.  Integers 21  (2021), #g2. 14pp.     Abstract.
  
  
• S.J. Curran, S.C. Locke, R.M. Low. C4-face magic toroidal labelings on C2m×C2n   .  The Art of Discrete and Applied Mathematics 4 (2021, #P1.04, 33pp.    Abstract.
  
  
• S.J. Curran, S.C. Locke, R.M. Low. C4-face magic labelings on Klein bottle checkerboards. Submitted to  Electronic Journal of Combinatorics, June 2020, 34pp.   Abstract.
  
  
• W.H. Chan, Ardak Kapbasov, Arman Kapbasov, S.C. Locke, R.M. Low.  A codex of N- and P- positions in Harary's 'Caterpillar Game'.   Integers 21  (2021), #g2.  26pp.     Abstract.
  
  

Scholarly Activities

• Member of the Faculty Senate 
• FAU High & A.D. Henderson School Advisory Body
• Pre-health Professions Committee
• Associate Chairman, Department of Mathematical Sciences
• Organizing Committee for the Southeastern International Conference on Combinatorics, Graph Theory and Computing