Publications

Names of undergraduate co-authors appear in bold

• (with S. Chebolu) Zero-sum-free tuples and hyperplane arrangements. Integers Vol 22 (2022) A#13, 25 pp

• (with F. Akman) Reconfiguration of Subspace Partitions. J. Combin. Designs, 30/1 (2022), 5-18.

• Geometric Characterization of the Minimal Solutions of a Linear Diophantine Equation. SIAM J. Discrete Math., 35/3 (2021), 1952-1963.

• (with F. Akman) Subspace Partitions containing direct sums: General case. Linear Algebra and its Appl. 598 (2020), 1-28.

• (with E. Nastase) The complete characterization of the minimum size supertail in a subspace partition. Linear Algebra and its Appl. 559 (2018), 172-180.​

• (with F. Akman) Subspace partitions of F_q^n containing direct sums. Discrete Math. (2018) 1850–1863.

• (with E. Nastase) The maximum size of a partial spread in a finite projective space.  J. Combin. Theory Ser. A (2017), 353-362.

• (with E. Nastase) The maximum size of a partial spread II: Upper bounds. Discrete Math. (2017) 1481-1487.

• (withC. Augspurger,M. Minteer,K. Shoukry, and K. Voss) Avoiding zero-sum sequences of prescribed length over the integers. Integers (2017) #A18.

• (with E. Nastase) The structure of the minimum size supertail of a subspace partition. Designs, Codes and Crypt. (2017), 549-563.

• (with F. Akman) Counting the Gaussian Partitions of a Finite Vector Space.J. Int. Seq. (2015), #15.7.5.

• (with G. Seelinger, L. Spence, and C. Vanden Eynden) Level matrices. Manuscript.

• A Note on minimal zero-sum sequences over the integers. Acta Arithmetica (2014) 279-288.

• (with O. Heden, J. Lehmann, and E. Nastase) On the type(s) of minimum size subspace partitions. Discrete Math. 332 (2014) 1-9 .

• (with M. Sahs and J. Torf) A zero-sum theorem over Z. Integers (2013) #A70.

• (with O. Heden, J. Lehmann, and E. Nastase) The supertail of a subspace partition. Des. Codes Cryptogr. (2013), 305-316

• (with Y. Peng) The Feasible matching problem. Graphs and Combin. (2013), 695-704

• (with Y. Peng and C. Zhao) An extremal problem for set families generated with the union and symmetric difference operations. J. Combinatorics (2012), 651-668.

• (with G. Seelinger, L. Spence, and C. Vanden Eynden) Partitions of finite vector spaces over GF(2) into subspaces of dimensions 2 and s. Finite Fields and their Appl. (2012) 1114-1132

• (with G. Seelinger, L. Spence, and C. Vanden Eynden) Partitions of V(n,q) into 2-and s-dimensional subspaces. J. Combin. Des. (2012), 467-482

• (with O. Heden, J. Lehmann, and E. Nastase) Extremal sizes of subspace partitions. Designs, Codes and Crypt. (2012), 65-74.

• (with F. Akman) Gaussian Partitions The Ramanujan Journal (2012), 125-138.

• (with F. Akman) The lattice of finite vector space partitions. Discrete Math. (2012), 1487-1491.

• (with E. Nastase) The minimum size of a subspace partition. Lin. Algebr. and its Appl. (2011), 1213-1221.

• (with O. Heden) On the existence of a (2,3)-spread in V(7,2). Ars Combin. (2016), 161-164

• (with S. El-Zanati, G. Seelinger, L. Spence, and C. Vanden Eynden) On Lambda-fold Partitions of Finite Vector Spaces and Duality. Discrete Math. (2011), 307-318.

• (with S. El-Zanati, O. Heden, G. Seelinger, L. Spence, and C. Vanden Eynden) Partitions of the 8-dimensional vector subspace over GF(2). J. of Comb. Designs (2010), 462-474.

• (with S. El-Zanati, H. Jordon, G. Seelinger, and L. Spence) The maximum size of a partial 3-spread in a finite vector space over GF(2). Designs, Codes and Crypt. 16 (2010), 101-107.

• (with S. El-Zanati, G. Seelinger, L. Spence, and C. Vanden Eynden) On Partitions of Finite Vector Spaces of Low Dimension. Discrete Math. (2009), 4727-4735.

• (with A. Blinco, S. El-Zanati, G. Seelinger, L. Spence, and C. Vanden Eynden) On Vector Space Partitions and Uniformly Resolvable Designs. Designs, Codes and Crypt. (2008), 69-77.

• (with S. El-Zanati, G. Seelinger, L. Spence, and C. Vanden Eynden) Partitions of finite vector spaces into subspaces. J. of Comb. Designs (2008), 329-341.

• (with S. El-Zanati, M. Plantholt, and L. Spence) On the existence of a rainbow 1-factor in 1-factorizations of a complete (hyper)graph. J. of Comb. Designs (2007), 487-490.

• (with L. Ionescu) A canonical semi-classical star product. J. of Generalized Lie Theory and Appl.  (2007), 117-128.

• (with F. Akman and L. Ionescu) On deformation of associative algebras and graph homology. J. of Algebra (2007), 730-741.

• (with Y. Kohayakawa, V. Rodl, M. Schacht, and J. Skokan) Turan Theorem for pseudo-random graphs. J. of Comb. Theory (Ser. A) (2007), 631-657.

• (with Y. Kohayakawa and V. Rodl) Embedding graphs with bounded degree in sparse pseudorandom graphs. Israel J. Math (2004), 93-137.

• (with A. Czumaj, M. Grigni, and H. Zhao) Approximation schemes for the minimum cost 2-edge connected and biconnected subgraphs in planar graphs. Proc. of the SIAM 15th Conference on Discrete Algorithms (2004), 489-498.

• (with M. Grigni) Light Spanners and Approximate TSP in Weighted Graphs with Forbidden Minors. Proc. of the SIAM 13th Conference on Discrete Algorithms (2002), 852-857.

• (with A. Godbole) Successions in Random Permutations. Congressus Numerantium (1998), 159-169.

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