This is the academic webpage of Dr Rebecca J. Stones.  I'm an associate professor with the College of Computer Science at Nankai University, Tianjin, China.

I received my PhD in 2010 from Monash University (thesis On the Number of Latin Rectangles, supervised by Prof. Ian Wanless, and co-supervised by Prof. Graham Farr).  I was awarded the 2012 Kirkman Medal (joint with Dr Xiande Zhang, who solved some of my research problems).

The best way to contact me is via email:  rebecca.stones82 (at)  Please read this before emailing me about becoming a postgraduate student.



  1. Stones, Wanless, Divisors of the number of Latin rectangles, J. Combin. Theory Ser. A, 117 (2010), pp. 204-215.
  2. Stones, Wanless, Compound orthomorphisms of the cyclic group. Finite Fields Appl., 16 (2010) pp. 277-289.
  3. Stones, The many formulae for the number of Latin rectangles.  Electron. J. Combin., 17 (2010): A1.
  4. Stones, The parity of the number of quasigroups.  Discrete Math., 310 (2010) pp. 3033-3039.
  5. Cavenagh, Hämäläinen, Lefevre, Stones, Multi-Latin squares.  Discrete Math., 311 (2011), pp. 1164-1171.
  6. Cavenagh, Stones, Near-automorphisms of Latin squares.  J. Combin. Des., 19 (2011), pp. 365-377.
  7. Stones, Wanless, A congruence connecting Latin rectangles and partial orthomorphisms.  Ann. Comb., 16 (2012) pp. 349-365.
  8. Stones, Vojtěchovský, Wanless, Cycle structure of autotopisms of quasigroups and Latin squares.  J. Combin. Des., 20 (2012) pp. 227-263.
  9. Stones, Formulae for the Alon-Tarsi Conjecture.  SIAM J. Discrete Math., 26 (2012), pp. 65-70.
  10. Stones, Wanless, How not to prove the Alon-Tarsi Conjecture. Nagoya Math. J., 205 (2012), pp. 1-24.
  11. Browning, Stones, Wanless, Bounds on the number of autotopisms and subsquares of a Latin square.  Combinatorica, 33 (2013) pp. 11-22.
  12. Stones, Symmetries of partial Latin squares.  European J. Combin., 34 (2013) pp. 1092-1107.
  13. Evans, Fear, Stones, Diagonally cyclic equitable rectangles.  Des. Codes Cryptogr., 76 (2015) pp. 551-569.  [Thus I have Erdős number 2]
  14. Fálcon, Stones, Classifying partial Latin rectangles.  Electron. Notes Discrete Math., 49 (2015) pp. 765-771.
  15. Stones, Su, Liu, Wang, Lin, A Latin square autotopism secret sharing scheme.  Des. Codes Cryptogr., 80 (2016) pp. 635-650.
  16. Stones, Lin, Liu, Wang, On computing the number of Latin rectangles.  Graphs. Combin., 32 (2016) pp. 1187-1202. [Warning: Figures 5 and 6 contain errors.]
  17. Fálcon, Stones, Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups. Discrete Math., 340 (2017) pp. 1242-1260.
  18. Best, Marbach, Stones, Wanless, Covers and partial transversals of Latin squares. To appear in Des. Codes Cryptogr.
  19. Danan, Fálcon, Kotlar, Marbach, Stones, Two-line graphs of partial Latin rectangles.  Electron. Notes Discrete Math., 68 (2018) pp. 53--58.

Graph theory and networks

  1. Li, Stones, Wang, Deng, Liu, Wang, NetMODE: Network motif detection without Nauty.  PLoS One, 7 (2012): e50093.  (source code)
  2. Stones, Computing the number of h-edge spanning forests in complete bipartite graphs.  Discrete Math. Theor. Comput. Sci., 16 (2014), pp. 313-326. (source code)
  3. Mani, Stones, Congruences for the weighted number of labeled forests.  Integers, 16 (2016): A17.
  4. Mani, Stones, The number of labeled connected graphs modulo prime powers.  SIAM J. Discrete Math, 30 (2016), pp. 1046-1057.
  5. Kazemi, Pahlavsay, Stones, Cartesian product graphs and k-tuple total domination.  To appear in FILOMAT.  (arXiv)

Search engines

  1. Ao, Zhang, Wu, Stones, Wang, Liu, Liu, Lin, Efficient parallel lists intersection and index compression algorithms using graphics processing units. Proc. Very Large Data Base (VLDB) Endowment, 4 (2011) pp. 470-481.
  2. Tong, Wang, Stones, Sun, Liu, Zhang, Exploiting query term correlation for list caching in web search engines.  Proc. ACM Conference on Information and Knowledge Management (CIKM, 2013), pp. 1817-1820.
  3. Zhang, Sun, Tong, Stones, Wang, Liu, Compact snippet caching for flash-based search engines.   Proc. ACM Special Interest Group on Information Retrieval (SIGIR 2015), pp. 1015-1018.
  4. Zhang, Ye, Huang, Stones, Wang, Liu, NBLucene: Flexible and efficient open source search engine.  Proc. International Conference on Web-Age Information Management (WAIM 2016).
  5. Zhang, Tong, Huang, Liang, Li, Stones, Wang, Liu, Leveraging context-free grammar for efficient inverted index compression.  Proc. ACM Special Interest Group on Information Retrieval (SIGIR 2016), pp. 275-284.
  6. Yang, Tong, Stones, Zhang, Ye, Wang, Liu, Selective term proximity scoring via BP-ANN, Proc. ACM SIGIR Workshop on Neural Information Retrieval (Neu-IR 2016).
  7. Huang, Ren, Zhao, Stones, Zhang, Wang, Liu, GPU-accelerated block-max query processing.  Proc. International Conference on Algorithms and Architectures for Parallel Processing (ICA3PP 2017),  pp. 225-238.
  8. Jiao, Ye, Zhao, Stones, Wang, Liu, Wang, Xie, Detecting TCP-based DDoS attacks in Baidu cloud computing data centers.  To appear in Proc. IEEE Symposium on Reliable Distributed Systems (SRDS 2017). (pdf)
  9. Wang, Yu, Stones, Ren, Wang, Liu, Ren, Efficient GPU-based query processing with pruned list caching in search enginesTo appear in Proc. IEEE International Conference on Parallel and Distributed Systems (ICPADS 2017). (pdf)
  10. Liu, Zhang, Hou, Stones, Wang, Liu, Index Compression for BitFunnel Query Processing.  Proc. ACM Special Interest Group on Information Retrieval (SIGIR 2018).


  1. Lin, Wang, Stones, Liu, Liu, T-Code: 3-erasure longest lowest-density MDS codes.  IEEE J. Sel. Areas Commun., 28 (2010), pp. 289-296.
  2. Lin, Xu, Stones, Shi, Wang, New Pattern Erasure Codes, Proc. IEEE International Symposium on Information Theory (ISIT), (2013), pp. 1899-1903.


  1. Zhou, Liu, Stones, Xie, Wang, MrBayes on a Graphics Processing Unit.  Bioinformatics, 27 (2011)  pp. 1255-1261.
    1. Pang, Stones, Ren, Liu, Wang, Xia, Wu, Liu, Xie, GPU MrBayes V3.1: MrBayes on graphics processing units for protein sequence data.  Mol. Biol. Evol, 32 (2015), pp. 2496-2497.
    2. Pang, Stones, Liu, Wang, Xia, MrBayes for phylogenetic inference using protein data on a GPU cluster.  In Algorithms and Architectures for Parallel Processing,  Lecture Notes in Computer Science, 9530 (2015), pp. 267-280.

Data storage

    1. Ma, Stones, Ma, Wang, Ren, Wang, Liu, Lazy exact deduplication.  Proc. IEEE International Conference on Massive Storage Systems and Technology (MSST 2016). (pdf)
    2. Ma, Stones, Ma, Wang, Ren, Wang, Liu, Lazy exact deduplication.  Trans. Storage, 13 (2017).
  1. Pang, Jia, Stones, Wang, Liu, A combined Bayesian network method for predicting drive failure times from SMART attributes.  Proc. IEEE International Joint Conference on Neural Networks (IJCNN 2016).
  2. Li, Jin, Stones, Wang, Li, Liu, Parallelizing degraded read for erasure coded storage systems using collective communications, Proc. IEEE International Symposium on Parallel and Distributed Processing with Applications (ISPA 2016).  (pdf)
  3. Li, Li, Stones, Wang, Li, Liu, ProCode: A proactive erasure coding scheme for cloud storage systemsProc. IEEE Symposium on Reliable Distributed Systems (SRDS 2016).  (pdf)
  4. Li, Stones, Wang, Li, Liu, Xiao, Being accurate is not enough: New metrics for disk failure predictionProc. IEEE Symposium on Reliable Distributed Systems (SRDS 2016).
  5. Li, Stones, Wang, Liu, Li, Xu, Hard drive failure prediction using decision trees.  Reliability Engineering & System Safety, 164 (2017), pp. 55-65.
  6. Zhao, Shen, Li, Stones, Wang, Liu, An efficient fault-tolerance framework for distributed in-memory caching systems.  To appear in ICPADS 2018.

    Gender studies

  1. Stones, Which gender is more concerned about transgender women in female bathrooms?  Gend. Issues, 34 (2017), pp. 275-291.  (MedicalXpress press release)

Recent presentations
  1. Design Theory Workshop in Honor of Curt Lindner's 80th Birthday, Turkey. 3-4 September 2018. (talk slides)
  2. 第八届全国组合数学与图论大会, China.  23-26 August 2018. (talk slides)
  3. The Korean Women in Mathematical Sciences (KWMS) 14th International Conference, Korea.  30 June 2018.  (talk slides)
  4. The Japanese Conference on Combinatorics and its Applications  (JCCA 2018), Japan, 21 May 2018. 
    Contributed talk: Enumerating partial Latin rectangles.  (talk slides)
  5. Cairo University, Egypt, 8 February 2018.  Seminar: Covers and partial transversals of Latin squares.  (talk slides)
  6. Monash University, Australia, 5 December 2017.  Contributed talk: Balanced equi-n-squares: a generalization of Latin squares.  (talk slides)
  7. University of Seville, Spain.  5 April 2017.  Seminar: A Latin square autotopism secret sharing scheme.  (talk slides)
  8. Yıldız Teknik Üniversitesi, Turkey.  23 March 2017.  Seminar:  Totally autoparastrophic and trivially autotopic partial Latin squares.  (talk slides)
  9. Nankai University, China. 3 March 2017.  Seminar: Computing the symmetries of partial Latin rectangles.  (talk slides)
  10. Shanghai Jiaotong University, China.  25 February 2017.  Seminar:  Partial Latin rectangles graphs and symmetries of partial Latin rectangles.  (talk slides)
  11. Monash University, Australia.  19 December 2016.  Seminar: Computing autotopism groups of partial Latin rectangles: a pilot study.  (talk slides)
  12. 40th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing (40ACCMCC), The University of Newcastle, Australia.  14 December 2016.  Contributed talk: Cartesian product graphs and k-tuple total domination.  (talk slides)
  13. 35th Symposium on Reliable Distributed Systems (SRDS, 2016), Hungary.  27 September 2016.  Paper presentation: Being Accurate Is Not Enough: New Metrics for Disk Failure Prediction.  (talk slides)
  14. Institute for Research in Fundamental Sciences, Iran.  28 July 2016.  Symmetries of partial Latin rectangles via graphs.  (talk slides)
  15. 3rd Istanbul Design Theory, Graph Theory and Combinatorics Workshop, Koç Üniversitesi, Turkey.  16 June 2016.  Contributed talk: Partial Latin squares with no non-trivial autotopisms and six autoparatopisms.  (talk slides)
  16. University of Seville, Spain.  19 May 2016.  Seminar: Reliability equations for large storage systems with proactive fault tolerance.  (talk slides)
  17. 32nd International Conference on Massive Storage Systems and Technology (MSST 2016), Santa Clara University, USA.  5 May 2016.  Paper presentation: Lazy exact deduplication.  (talk slides)
  18. Monash University, Australia.  21 March 2016.  Seminar: The infrequency of crimes by (pretend) transgender women in female bathrooms.  (talk slides)
  19. Monash University, Australia.  31 August 2015.  Seminar: Weights of partial Latin rectangles with specified symmetry groups.  (talk slides)
  20. University of Seville, Spain.  15 July 2015.  Seminar: Diagonally cyclic equitable rectangles.  (talk slides)
  21. 25th British Combinatorial Conference, University of Warwick, England.  7 July 2015.  Contributed talk: Counting partial Latin rectangles.  (talk slides)
  22. 38th Australasian Conference on Combinatorial Mathematics and Combinatorial Computing (38ACCMCC), Victoria University of Wellington, New Zealand.  1-5 December 2014.  Contributed talk: A Latin square autotopism secret sharing scheme.  (talk slides)

  1. Naiyong Ao.
  2. Darcy Best.
  3. Joshua Browning.
  4. Nick Cavenagh, University of Waikato, New Zealand.
  5. Hualiang Deng.
  6. Eiran Danan, Tel-Hai College, Israel.
  7. Anthony B. Evans, Wright State University, USA.
  8. Raúl Fálcon, University of Seville, Spain.
  9. David Fear.
  10. Carlo Hämäläinen.
  11. Boran Hou.
  12. Haibing Huang.
  13. Jiayi Huang.
  14. Yuhan Jia.
  15. Jiahui Jiao.
  16. Xingtong Jin.
  17. Adel Kazemi, University of Mohaghegh Ardabili, Iran.
  18. Dani Kotlar, Tel-Hai College, Israel.
  19. James Lefevre, University of Queensland, Australia.
  20. Jin Liang.
  21. Jing Li, Civil Aviation University of China, China.
  22. Peng Li.
  23. Tianlong Li.
  24. Xin Li, Google, USA.
  25. Yusen Li, Nankai University, China.
  26. Zhongwei Li, Nankai University, China.
  27. Sheng Lin, Tianjin University of Science and Technology, China.
  28. Jing Liu, Nankai University, China.
  29. Xiaoguang Liu, Nankai University, China.
  30. Xinyu Liu.
  31. Yang Liu.
  32. Shen Lu.
  33. Jingwei Ma.
  34. Yuxiang Ma.
  35. Arun Mani, University of Melbourne, Australia.
  36. Trent Marbach, Nankai University, China.
  37. Shuai Pang.
  38. Behnaz Pahlavsay, Hokudai University, Japan.
  39. Junjie Ren, Microsoft, Canada.
  40. Mingming Ren, Nankai University, China.
  41. Kai Shi.
  42. Ming Su, Nankai University, China.
  43. Pengyu Sun, Baidu, China.
  44. Shizhao Sun.
  45. Jiancong Tong, Baidu, China.
  46. Petr Vojtěchovský, University of Denver, USA.
  47. Gang Wang, Nankai University, China.
  48. Dongdong Wang.
  49. Haidong Wang.
  50. Jingui Wang.
  51. Jinsong Wang.
  52. Shaoyan Wang.
  53. Ian M. Wanless, Monash University, Australia.  (Wikipedia)
  54. Di Wu, Toutiao, China.
  55. Haoyang Wu.
  56. Hongju Xia.
  57. Kang Xiao.
  58. Qiang Xie, Nankai University, China.
  59. Guangping Xu.
  60. Ming Xu.
  61. Ju Yang.
  62. Benjun Ye.
  63. Wenqing Yu.
  64. Fan Zhang, Google, USA.
  65. Rui Zhang.
  66. Zhaohua Zhang.
  67. Shuaibing Zhao.
  68. Yue Zhao.
  69. Jianfu Zhou, Dartmouth College, USA.

(Gemma and Vicky; I've lost contact with you, so please contact me.)