Dr. Stephen Locke

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

• 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. (On arXiv.org as "Equatorially balanced C₄-face-magic labelings on Klein bottle grid graphs". )  https://arxiv.org/abs/2206.02028

RESEARCH PUBLICATIONS (MR author ID 115185)

• S.J. Curran, S.C. Locke. C₄-face-magic labelings on even order projective grid graphs. In Combinatorics, Graph Theory and Computing SEICCGTC 2021, PROMS (Springer Proceedings in Mathematics and Statistics) 448 (2024), pages 177-201.
  
  
• S.J. Curran, S.C. Locke, R.M. Low. A Variant of Nim Played on Boolean Matrices. Integers 23(2023), #G4. 25 pages.  https://math.colgate.edu/~integers/xg4/xg4.pdf
  
  
• S.J. Curran, D. Gray, S.C. Locke, R.M. Low. Pyramid Nim. Integers 22(2022), #G2, 15pp.  https://math.colgate.edu/~integers/wg2/wg2.pdf
  
  
• S.C. Locke, B. Handley. Amalgamation Nim. Integers 21(2021), #G2, 14 pp.  https://math.colgate.edu/~integers/vg2/vg2.pdf
  
  
• S.J. Curran, S.C. Locke, R.M. Low. C₄-face magic toroidal labelings on Cm×Cn. Art Discrete Appl. Math. 4(2021), no. 1, Paper No. 1.04, 33 pp.  
  
  
• 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), #G1, 26 pp.  https://math.colgate.edu/~integers/vg1/vg1.pdf
  
  
• Gray, S.C. Locke. A variant of Nim. Discrete Mathematics 341(2018), 2485-2489.
  
  
• W.H. Chan, S.C. Locke, R.M. Low, O.L. Wong. A map of the P-positions in ‘Nim With a Pass’ played on heap sizes of at most four. Discrete Applied Mathematics 244(2018), 44-55. 
  
  
• S.C. Locke. S. Perry. Labelled Path Systems. Congressus Numerantium 229(2017), 95-100.
  
  
• S.C. Locke. Sum-Free Graphs. (In honour of J.A. Bondy.) Journal of Combinatorics 8(2017), 349–370.

 

Google Scholar:  https://scholar.google.com/citations?user=4r2jkAMAAAAJ&hl=en

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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

Personal Website 

• http://brain.math.fau.edu/locke/

 

 

 

Locke Sensei at Tomodachi Judo Club's Candy Cane Classic Christmas Party, December 19, 2015.

 

 

 Janet Mullin, Stephen Locke, Joanne Thomson Locke, and Ron Mullin, CGTC Conference Banquet March 7, 2007