| Sumsets, Zero-Sums and
Extremal Combinatorics |
Ph.D.
Dissertation, Caltech 2005 pdf
|
| On some Rado numbers for generalized arithmetic progressions | Discrete Math. 280 (2004), no. 1-3, 39--50. pdf |
| On four color monochromatic sets with nondecreasing diameter | Discrete Math. 290 (2005), no. 2-3, 165--171. pdf |
| On a partition analog of the Cauchy-Davenport theorem | Acta Math. Hungar. 107 (2005), no. 1-2, 161--174. pdf |
| On four colored sets with nondecreasing diameter and the Erdös-Ginzburg-Ziv Theorem | J. Combin. Theory Ser. A 100 (2002), no. 1, 44--60. |
| On
some developments of the Erdös-Ginzburg-Ziv
theorem II With A. Bialostocki, P. Dierker and M. Lotspeich |
Acta Arith. 110 (2003), no. 2, 173--184. pdf |
| Monochromatic
and
zero-sum
sets
of
nondecreasing modified diameter With R. Sabar |
Electron. J. Combin. 13 (2006), no. 1, Research Paper 28, 19 pp. pdf |
| A Five Color Zero-Sum
Generalization With A. Schultz. |
Graphs and Combinatorics 22 (2006), no. 3, 351--360. pdf |
| On
the Intersection of two m-sets and the Erdös-Ginzburg-Ziv
theorem With A. BialostockI |
Ars Combin. 83 (2007), 335--339. pdf |
| An extension of the Erdös-Ginzburg-Ziv theorem to hypergraphs | European J. Combin. 26 (2005), no. 8, 1154--1176. pdf |
| Quasi-periodic decompositions and the Kemperman structure theorem | European J. Combin. 26 (2005), no. 5, 559--575. pdf |
| A weighted Erdös-Ginzburg-Ziv theorem | Combinatorica 26 (2006), no. 4, 445--453. pdf |
| On a conjecture of Hamidoune for subsequence sums | Integers 5 (2005), no. 2, A7, 11 pp. pdf |
| On the number of m-term zero-sum subsequences | Acta Arith. 121 (2006), no. 3, 275--298. pdf |
| A Step Beyond the Kemperman Structure Theorem | Mathematika 55 (2009), 67--114 pdf |
| On Erdös-Ginzburg-Ziv Inverse Theorems With O. Ordaz, M. T. Varela, and F.Villarroel |
Acta Arith. 129 (2007), no. 4, 307--318. pdf |
| Connectivity of addition Cayley graphs With V. Lev, and O. Serra |
J. Combin. Theory, Ser. B 99 (2009), 202--217. pdf |
| Weighted Sequences in Finite Cyclic Groups With J. Zhuang |
Applied Mathematics E-Notes 9 (2009), 40--46. pdf |
| Representation of finite abelian group elements by
subsequence sums With E. Marchan and O. Ordaz. |
J. Théor. Nombres Bordeaux 21 (2009), no. 3, 559--587. pdf |
| Properties of Two Dimensional Sets with Small
Sumset With O. Serra |
J. Combin. Theory, Ser. A (2010), no. 2, 164--188. pdf |
| Inverse zero-sum problems III With W. D. Gao and A. Geroldinger |
Acta Arithmetica 141 (2010), 103--152. pdf |
| On Extending Pollard's Theorem for t-Representable Sums | Israel J. Math 177 (2010), no. 1, 413--439. pdf |
| On
the arithmetic of Krull monoids with finite
Davenport constant With A. Geroldinger |
J. Algebra. 321 (2009), 1256--1284. pdf |
| On the structure of minimal zero-sum sequences
with maximal cross number With A. Geroldinger |
J. Combin. and Number Theory 1 (2010), no. 2, 109--126. pdf |
| 1-Saturating sets, caps, and doubling-critical
sets in binary spaces With V. Lev. |
SIAM J. Discrete Math 24 (2010), no. 1, 169--190. pdf |
| Long Arithmetic Progressions in Sets with Small
Sumset With I. Bardaji. |
Integers 10 (2010), 335--350, (electronic) A28. pdf |
| Note on a Conjecture of Graham | European J. Combin.
32 (2011), no. 8, 1336-1344. pdf |
| A Weighted Generalization of Two Conjectures of
Gao With O. Ordaz and E. Marchan. |
Ramanujan J. 28 (2012), no. 3, 323-340. pdf |
| On the arithmetic of Krull
monoids with infinite cyclic class group With A. Geroldinger, G. J. Schaeffer, and W. A. Schmid |
J. Pure and Appl. Alg. 214 (2010), no. 12, 2219--2250. pdf |
| Zero-sum problems with
congruence conditions With A. Geroldinger and W. A. Schmid |
Acta Math. Hungar. 131 (2011), 323-345. pdf |
| The catenary degree of Krull
monoids I Wtih A. Geroldinger and W. A. Schmid |
J. Théor. Nombres Bordx. 23 (2011), 137-169. pdf |
| Inverse
Additive
Problems for Minkowski Sumsets I With G. A. Freiman, O. Serra and Y. Stanchescu |
Collectanea Math. 63 (2012), no. 3, 261-286. pdf |
| Inverse
Additive
Problems for Minkowski Sumsets II With G. A. Freiman, O. Serra and Y. Stanchescu |
J. Geom. Anal. To appear pdf |
| On Weighted Zero-sum
Sequences With S. Adhikari and Z. W. Sun |
Adv. Apl. Math. 48 (2012), 506-526. pdf |
| Arithmetic Progression Weighted Subsequence Sums With A. Philipp and V. Ponomarenko |
Israel J. Math. To appear pdf |
| Products of Two Atoms in
Krull Monoids and Arithmetical Characterization of Class
Groups With P. Baginski, A. Geroldinger and A. Philipp |
European J. Combin. To appear pdf |
| The Large Davenport
Constant I: Groups with a Cyclic, Index 2 Subgroup with Alfred Geroldinger |
J. Pure and Applied Alg. To appear. pdf |
| The Large Davenport Constant II: General Upper Bounds | J. Pure and Applied Alg. To appear. pdf |
| The Freiman 3k-2
Theorem: Distinct Summands With Oriol Serra |
In preparation |
| Structural Additive Theory |
To appear in the Springer
series Developments in Mathematics 30, June 2013 Table of Contents Springer Link |
