I support the Leiden Declaration on Artificial Intelligence and Mathematics.
My publications are indexed in the ACM Digital Library, MathSciNet, SCI Expanded and zbMATH databases.
Corrigendum to "A characterization of the unit group in Z[T x C2]”. — submitted.
Lightning from the 2026 SEICCGTC: a collection of open problems. — submitted.
All polyominoes are C4-face-magic. — submitted.
P-positions in a variant of Nim called Halve Nim. — submitted.
P-positions of three-pile games of Halve Nim: A variant of Nim. — submitted.
Application of the Combinatorial Nullstellensatz to magic-type graph labelings. — submitted.
Floridian solitaire: a variant of Bulgarian solitaire. — submitted.
Lightning from the 2025 SEICCGTC: a collection of open problems. — to appear in PROMS. (2026).
[88] Odabasi, U., Roberts, D. and Low, R.M., Preservation of the Zk-antimagic property of a graph under edge addition. Discussiones Mathematicae Graph Theory. 46 (2026), 751-763.
[87] Low, R.M. and Kapbasov, A., Diagonal graph Ramsey numbers of even cycles with pendant edges. Australas. J. Combin. 94(1) (2026), 221-234.
[86] Bowling, A. and Low, R.M., Cozonality in plane graphs of maximum degree four. Discrete Math. Lett. 17 (2026), 1-6.
[85] Bowling, A., Weiguo, X. and Low, R.M., Cozonal labelings of plane graphs. Bull. Inst. Combin. Appl. 105 (2025), 54-69.
[84] Shiu, W.C., Low, R.M. and Liu, A.K., Corrigendum to ‘Face-magic labelings of polygonal graphs’. Theory Appl. Graphs. Vol. 12: Iss. 2, Article 2 (2025).
[83] Odabasi, U., Roberts, D. and Low, R.M., The integer-antimagic spectra of a weak join of Hamiltonian graphs. Theory Appl. Graphs. Vol. 12: Iss. 1, Article 5 (2025).
[82] Shiu, W.C., Low, R.M. and Liu, A.K., Face-magic labelings of polygonal graphs. Theory Appl. Graphs. Vol. 11: Iss. 1, Article 7 (2024).
[81] Kusmus, O., Denizler, I.H. and Low, R.M., On the unit group of the integral group ring Z(S3 x C3). Yuzuncu Yil University Journal of the Institute of Natural and Applied Sciences. 29 (2024), Iss. 1, 157-165.
[80] Curran, S.J., Locke, S.C. and Low, R.M., A variant of Nim played on Boolean matrices. Integers. 23 (2023), #G4, 25pp. (electronic).
[79] Low, R.M. and Kapbasov, A., New diagonal graph Ramsey numbers of unicyclic graphs. Theory Appl. Graphs. Vol. 10: Iss. 1, Article 9 (2023).
[78] Low, R.M., Kapbasov, A., Kapbasov, Arman and Bereg, S., Computation of new diagonal graph Ramsey numbers. Electron. J. Graph Theory Appl. 10 (2022), no. 2, 575-588.
[77] Shiu, W.C. and Low, R.M., On the integer-antimagic spectra of non-Hamiltonian graphs. Theory Appl. Graphs. Vol. 9: Iss. 2, Article 8 (2022).
[76] Odabasi, U., Roberts, D. and Low, R.M., The integer-antimagic spectra of a disjoint union of Hamiltonian graphs. — Turkish J. Math. 46(4) (2022), 1310-1317.
[75] Low, R.M. and Roberts, D., Constructing integer-magic graphs via the combinatorial nullstellensatz. Art Discrete Appl. Math. 5 (2022), no. 2, #P2.04, 17pp.
[74] Low, R.M. and Roberts, D., Application of the combinatorial nullstellensatz to integer-magic graph labelings. Theory Appl. Graphs. Vol. 9: Iss. 1, Article 3 (2022).
[73] Curran, S.J., Gray, D., Locke, S.C. and Low, R.M., Pyramid Nim. Integers. 22 (2022), #G2, 15pp. (electronic).
[72] Odabasi, U., Roberts, D. and Low, R.M., The integer-antimagic spectra of Hamiltonian graphs. Electron. J. Graph Theory Appl. 9 (2021), no. 2, 301-308.
[71] Stavrou, S.G. and Low, R.M., The maximum rank of 2 x … x 2 tensors over F2. Linear Multilinear Algebra. 69 (2021), no. 3, 394-402.
[70] Low, R.M., Roberts, D. and Zheng, J., The integer-antimagic spectra of graphs with a chord. Theory Appl. Graphs. Vol. 8: Iss. 1, Article 1 (2021).
[69] Low, R.M., Kapbasov, A., Kapbasov, Arman, Locke, S.C. and Chan, W.H., A codex of N- and P-positions in Harary’s ‘Caterpillar Game’. Integers. 21 (2021), #G1, 26pp. (electronic).
[68] Curran, S.J., Low, R.M. and Locke, S.C., C4-face-magic toroidal labelings on Cm x Cn. Art Discrete Appl. Math. 4 (2021), no. 1, #P1.04, 33pp.
[67] Kusmus, O. and Low, R.M., Units in Z(Cn x C5). Palest. J. Math. 9(1) (2020), 386-395.
[66] Curran, S.J. and Low, R.M., C4-face-magic torus labelings on C4 x C4. Congr. Numer. 233 (2019), 79-94.
[65] Shiu, W.C. and Low, R.M., Orthogonal embeddings of graphs in Euclidean space. Electron. J. Graph Theory Appl. 7 (2019), no. 2, 373-381.
[64] Lee, S-M., Low, R.M., Ng, H.K. and Wang, Y-C., On friendly index sets of k-galaxies. Electron. J. Graph Theory Appl. 7 (2019), no. 1, 1-10.
[63] Berlekamp, E. and Low, R.M., Entrepreneurial chess. Internat. J. Game Theory. 47 (2018), no. 2, 379-415.
[62] Chan, W.H., Low, R.M., Locke, S.C. and Wong, O.L., A map of the P-positions in ‘Nim With a Pass’ played on heap sizes of at most four. Discrete Appl. Math. 244 (2018), 44-55.
[61] Stavrou, S.G., Low, R.M. and Hernandez, N.J., Corrigendum to “Rank classification of 2 x 2 x 2 x 2 x 2 tensors over F2". Linear Multilinear Algebra. 66 (2018), no. 3, 514-515.
[60] Shiu, W.C. and Low, R.M., The integer-magic spectra and null sets of the Cartesian product of trees. Australas. J. Combin. 70(1) (2018), 157-167.
[59] Low, R.M. and Kapbasov, A., Non-attacking bishop and king positions on regular and cylindrical chessboards. J. Integer Seq. 20 (2017), no. 6, Art. 17.6.1, 26 pp.
[58] Chopra, D.V. and Low, R.M., Contributions to balanced arrays of strength ten and fractional factorial designs of resolution eleven. Congr. Numer. 228 (2017), 333-343.
[57] Vobbilisetty, R., Troia, F.D., Low, R.M., Corrado, V.A. and Stamp, M., Classic cryptanalysis using hidden Markov models. Cryptologia. 41 (2017), 1-28.
[56] Shiu, W.C. and Low, R.M., The integer-antimagic spectra of dumbbell graphs. Bull. Inst. Combin. Appl. 77 (2016), 89-110.
[55] Low, R.M. and Chan, W.H., Notes on the combinatorial game: Graph Nim. Electron. J. Graph Theory Appl. 4 (2016), no. 2, 190-205.
[54] Stavrou, S.G., Low, R.M. and Hernandez, N.J., Rank classification of 2 x 2 x 2 x 2 x 2 tensors over F2. Linear Multilinear Algebra. 64 (2016), no. 11, 2297-2312.
[53] Bilgin, T., Kusmus, O. and Low, R.M., A characterization of the unit group in Z[T x C2]. Bull. Korean Math. Soc. 53 (2016), no. 4, 1105-1112.
[52] Roberts, D. and Low, R.M., Group-antimagic labelings of multi-cyclic graphs. Theory Appl. Graphs. Vol. 3: Iss. 1, Article 6 (2016).
[51] Shiu, W.C. and Low, R.M., Integer-antimagic spectra of complete bipartite graphs and complete bipartite graphs with a deleted edge. Bull. Inst. Combin. Appl. 76 (2016), 54-68.
[50] Shiu, W.C., Sun, P.K. and Low, R.M., Integer-antimagic spectra of tadpole and lollipop graphs. Congr. Numer. 225 (2015), 5-22.
[49] Chopra, D.V., Low, R.M. and Dios, R., A note on resolution nine factorial designs using coincidences. Congr. Numer. 223 (2015), 219-226.
[48] Low, R.M. and Chan, W.H., An atlas of N- and P-positions in 'Nim with a Pass'. Integers. 15 (2015), #G2, 14pp. (electronic).
[47] Chopra, D.V., Low, R.M. and Dios, R., A note on discrete factorial designs of resolution five and seven and balanced arrays. JCMCC. 90 (2014), 159-165.
[46] Oza, A., Ross, K., Low, R.M. and Stamp, M., HTTP attack detection using n-gram analysis. Computers and Security. 45 (2014), 242-254.
[45] Chang, K., Low, R.M. and Stamp, M., Cryptanalysis of Typex. Cryptologia. 38 (2014), 116-132.
[44] Chan, W.H., Low, R.M. and Shiu, W.C., Group-antimagic labelings of graphs. Congr. Numer. 217 (2013), 21-31.
[43] Chopra, D.V., Low, R.M. and Dios, R., Contributions to fractional factorial designs of resolutions six and eight for 2m series and bi-level balanced arrays. Congr. Numer. 215 (2013), 129-136.
[42] Chopra, D.V., Low, R.M. and Dios, R., Further results on some bi-level balanced arrays using coincidences. JCMCC. 86 (2013), 171-181.
[41] Baysa, D., Low, R.M. and Stamp, M., Structural entropy and metamorphic malware. Journal of Computer Virology and Hacking Techniques. Vol. 9, no. 4, (2013), 179-192.
[40] Craigen, R., Faucher, G., Low, R.M. and Wares, T., Circulant partial Hadamard matrices. Linear Algebra Appl. Vol. 439, no. 11, (2013), 3307-3317.
[39] Viswanathan, G., Low, R.M. and Stamp, M., Kullback-Leibler divergence for masquerade detection. Journal of Network and Information Security. Vol. 1, no. 1, (2013), 44-53.
[38] Shanmugam, G., Low, R.M. and Stamp, M., Simple substitution distance and metamorphic detection. Journal of Computer Virology and Hacking Techniques. Vol. 9, no. 3, (2013), 159-170.
[37] Shiu, W.C. and Low, R.M., Group-magic labelings of graphs with deleted edges. Australas. J. Combin. 57 (2013), 3-19.
[36] Dhavare, A., Low, R.M. and Stamp, M., Efficient cryptanalysis of homophonic substitution ciphers. Cryptologia. 37 (2013), 250-281.
[35] Shiu, W.C. and Low, R.M., The integer-magic spectra of bicyclic graphs without pendant. Congr. Numer. 214 (2012), 65-73.
[34] Chopra, D.V., Low, R.M. and Dios, R., Investigations on balanced arrays of strength eight using coincidences and moment matrix. Congr. Numer. 213 (2012), 133-141.
[33] Chopra, D.V., Low, R.M. and Dios, R., Existence of balanced arrays and the positive semi-definiteness of the moment matrix. JCMCC. 82 (2012), 77-85.
[32] Chan, W.H., Low, R.M., Shiu, W.C., Steinberger, J. and Wan, K.Y., On a switch-setting problem arising from a variation of the 'Lights Out' game. JP J. Algebra Number Theory Appl. 24 (2012), no. 2, 173-184.
[31] Runwal, N., Low, R.M. and Stamp, M., Opcode graph similarity and metamorphic detection. Journal in Computer Virology. 8 (2012), 37-52.
[30] Chopra, D.V., Low, R.M. and Dios, R., Further contributions to balanced arrays of strength seven with applications. Congr. Numer. 210 (2011), 73-78.
[29] Chopra, D.V. and Low, R.M., Balanced arrays and fractional factorial designs. Bulletin of the ISI Proceedings of the 58th World Statistics Congress 2011, Dublin, ISBN: 978-90-73592-33-9.
[28] Chopra, D.V., Low, R.M. and Dios, R., Investigations on strength eight balanced arrays using some classical inequalities. JCMCC. 78 (2011), 235-243.
[27] Chopra, D.V., Low, R.M. and Dios, R., New results on the existence of some balanced arrays using moment matrices. Congr. Numer. 205 (2010), 105-112.
[26] Dios, R., Ho, Y-S., Lee, S-M., Lo, S-P. and Low, R.M., Splitting extension of paths and cycles which are edge-graceful. Congr. Numer. 205 (2010), 17-31.
[25] Chopra, D.V., Low, R.M. and Dios, R., Further contributions to balanced arrays of strength four. JCMCC. 74 (2010), 103-110.
[24] Chopra, D.V., Low, R.M. and Dios, R., Contributions to strength six balanced arrays using Holder and Minkowski inequalities. JCMCC. 72 (2010), 93-100.
[23] Shiu, W.C. and Low, R.M., Zk-magic labelings of fans and wheels with magic-value zero. Australas. J. Combin. 45 (2009), 309-316.
[22] Chopra, D.V., Low, R.M. and Dios, R., Strength six orthogonal arrays and their non-existence. JCMCC. 70 (2009), 41-48.
[21] Chopra, D.V. and Low, R.M., Contributions to balanced arrays of strength t with applications. Frontiers of Applied and Computational Mathematics, 104-110, World Sci. Publ., Hackensack, NJ, 2008.
[20] Low, R.M. and Shiu, W.C., On the integer-magic spectra of graphs. Congr. Numer. 191 (2008), 193-203.
[19] Chopra, D.V., Low, R.M. and Dios, R., On the maximum number of constraints for some balanced arrays. Congr. Numer. 190 (2008), 5-11.
[18] Shiu, W.C., Ling, M.H. and Low, R.M., The edge-graceful spectra of connected bicyclic graphs without pendant. JCMCC. 66 (2008), 171-185.
[17] Low, R.M., On the units of the integral group ring Z[G x Cp]. J. Algebra Appl. 7 (2008), no. 3, 393-403.
[16] Shiu, W.C. and Low, R.M., Ring-magic labelings of graphs. Australas. J. Combin. 41 (2008), 147-158.
[15] Chopra, D.V., Low, R.M. and Dios, R., Contributions to orthogonal arrays of strength six. Congr. Numer. 186 (2007), 193-198.
[14] Kanungo, S. and Low, R.M., Further analysis on the "king and rook vs. king on a quarter-infinite board" problem. Integers. 7 (2007), #G9, 7pp. (electronic).
[13] Shiu, W.C. and Low, R.M., Integer-magic spectra of sun graphs. J. Comb. Optim. 14 (2007), 309-327.
[12] Low, R.M. and Sue, L., Some new results on the integer-magic spectra of tessellation graphs. Australas. J. Combin. 38 (2007), 255-266.
[11] Stamp, M. and Low, R.M., Applied Cryptanalysis: Breaking Ciphers in the Real World, Wiley-IEEE Press, May 2007, ISBN: 978-0-470-11486-5.
[10] Shiu, W.C., Ling, M.H. and Low, R.M., The entire edge-graceful spectra of cycles with one chord. Congr. Numer. 183 (2006), 213-219.
[09] Low, R.M. and Stamp, M., King and rook vs. king on a quarter-infinite board. Integers. 6 (2006), #G3, 8pp. (electronic).
[08] Shiu, W.C. and Low, R.M., Group magicness of complete n-partite graphs. JCMCC. 58 (2006), 129-134.
[07] Low, R.M. and Lee, S-M., On the integer-magic spectra of tessellation graphs. Australas. J. Combin. 34 (2006), 195-210.
[06] Low, R.M. and Lee, S-M., On the products of group-magic graphs. Australas. J. Combin. 34 (2006), 41-48.
[05] Low, R.M., Stamp, M., Craigen, R. and Faucher, G., Unpredictable binary strings. Congr. Numer. 177 (2005), 65-75.
[04] Lee, S-M., Ho, Y-S. and Low, R.M., On the integer-magic spectra of maximal planar and maximal outerplanar graphs. Congr. Numer. 168 (2004), 83-90.
[03] Low, R.M. and Lee, S-M., On group-magic Eulerian graphs. JCMCC. 50 (2004), 141-148.
[02] Low, R.M., Units in Integral Group Rings for Direct Products. Ph.D. Thesis, Dept. of Mathematics, Western Michigan University, (1998).
[01] Cabaniss, S., Low, R.M. and Mitchem, J., On edge-graceful regular graphs and trees. Ars Combin. 34 (1992), 129-142.