Grynkiewicz, David J.; Liu, Chao A multiplicative property for zero-sums. II. (English) Zbl 1502.11018 Electron. J. Comb. 29, No. 3, Research Paper P3.12, 16 p. (2022). Reviewer: Uzi Vishne (Ramat Gan) MSC: 11B13 11B75 11B30 11P70 05B10 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz} and \textit{C. Liu}, Electron. J. Comb. 29, No. 3, Research Paper P3.12, 16 p. (2022; Zbl 1502.11018) Full Text: DOI arXiv
Grynkiewicz, David J.; Liu, Chao A multiplicative property for zero-sums. I. (English) Zbl 1502.11017 Discrete Math. 345, No. 10, Article ID 112974, 21 p. (2022). Reviewer: Uzi Vishne (Ramat Gan) MSC: 11B13 11B30 11P70 05B10 11B75 20K01 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz} and \textit{C. Liu}, Discrete Math. 345, No. 10, Article ID 112974, 21 p. (2022; Zbl 1502.11017) Full Text: DOI arXiv
Geroldinger, Alfred; Grynkiewicz, David J.; Oh, Jun Seok; Zhong, Qinghai On product-one sequences over dihedral groups. (English) Zbl 1493.13003 J. Algebra Appl. 21, No. 4, Article ID 2250064, 58 p. (2022). Reviewer: Moshe Roitman (Haifa) MSC: 13A05 11B30 11B50 11B75 20M13 20M14 PDFBibTeX XMLCite \textit{A. Geroldinger} et al., J. Algebra Appl. 21, No. 4, Article ID 2250064, 58 p. (2022; Zbl 1493.13003) Full Text: DOI arXiv
Grynkiewicz, David J. Representing sequence subsums as sumsets of near equal sized sets. (English) Zbl 1509.11011 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory IV. Selected papers based on the presentations at the CANT 2019 and 2020 workshops, New York, NY, USA, May 21–24, 2019 and virtual, June 1–5, 2020. Cham: Springer. Springer Proc. Math. Stat. 347, 203-241 (2021). MSC: 11B13 20K01 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, Springer Proc. Math. Stat. 347, 203--241 (2021; Zbl 1509.11011) Full Text: DOI arXiv
Candela, Pablo; González-Sánchez, Diego; Grynkiewicz, David J. On sets with small sumset and \(m\)-sum-free sets in \(\mathbb{Z}/p\mathbb{Z}\). (Sur les ensembles de petite somme et les ensembles sans \(m\)-somme dans \(\mathbb{Z}/p\mathbb{Z}\).) (English. French summary) Zbl 1471.11255 Bull. Soc. Math. Fr. 149, No. 1, 155-177 (2021). Reviewer: Juanjo Rué Perna (Barcelona) MSC: 11P70 11B13 05B10 PDFBibTeX XMLCite \textit{P. Candela} et al., Bull. Soc. Math. Fr. 149, No. 1, 155--177 (2021; Zbl 1471.11255) Full Text: DOI arXiv
Grynkiewicz, David J.; Vishne, Uzi The index of small length sequences. (English) Zbl 1460.11031 Int. J. Algebra Comput. 30, No. 5, 977-1014 (2020). MSC: 11B75 11B50 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz} and \textit{U. Vishne}, Int. J. Algebra Comput. 30, No. 5, 977--1014 (2020; Zbl 1460.11031) Full Text: DOI
Grynkiewicz, David J. Iterated sumsets and setpartitions. (English) Zbl 1477.11018 Ramanujan J. 52, No. 3, 499-518 (2020). MSC: 11B13 11B75 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, Ramanujan J. 52, No. 3, 499--518 (2020; Zbl 1477.11018) Full Text: DOI arXiv
Grynkiewicz, David J. A single set improvement to the \(3k - 4\) theorem. (English) Zbl 1462.11085 J. Number Theory 214, 360-381 (2020). Reviewer: Mihály Szalay (Budapest) MSC: 11P70 11B13 11B75 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, J. Number Theory 214, 360--381 (2020; Zbl 1462.11085) Full Text: DOI arXiv
Grynkiewicz, David J.; Wang, Chunlin; Zhao, Kevin The structure of a sequence with prescribed zero-sum subsequences. (English) Zbl 1465.11049 Integers 20, Paper A3, 31 p. (2020). Reviewer: Štefan Porubský (Praha) MSC: 11B13 11B75 11P70 20K01 11R27 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz} et al., Integers 20, Paper A3, 31 p. (2020; Zbl 1465.11049) Full Text: Link
Adhikari, S. D.; Balasubramanian, R.; Eliahou, S.; Grynkiewicz, D. J. On a conjecture of Fox-Kleitman and additive combinatorics. (English) Zbl 1414.05292 Proc. Indian Acad. Sci., Math. Sci. 129, No. 4, Paper No. 43, 7 p. (2019). MSC: 05D10 11B25 11B30 PDFBibTeX XMLCite \textit{S. D. Adhikari} et al., Proc. Indian Acad. Sci., Math. Sci. 129, No. 4, Paper No. 43, 7 p. (2019; Zbl 1414.05292) Full Text: DOI
Grynkiewicz, David J. Iterated sumsets and Olson’s generalization of the Erdős-Ginzburg-Ziv theorem. (English) Zbl 1437.11028 Garijo, Delia (ed.) et al., Discrete mathematics days 2018. Extended abstracts of the 11th “Jornadas de matemática discreta y algorítmica” (JMDA), Sevilla, Spain, June 27–29, 2018. Amsterdam: Elsevier. Electron. Notes Discrete Math. 68, 29-34 (2018). MSC: 11B50 11B75 11B13 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, Electron. Notes Discrete Math. 68, 29--34 (2018; Zbl 1437.11028) Full Text: DOI
Grynkiewicz, David J. Iterated sumsets and subsequence sums. (English) Zbl 1451.11107 J. Comb. Theory, Ser. A 160, 136-167 (2018). Reviewer: Ilya D. Shkredov (Moskva) MSC: 11P70 11B75 11B13 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, J. Comb. Theory, Ser. A 160, 136--167 (2018; Zbl 1451.11107) Full Text: DOI arXiv
Gao, Weidong; Grynkiewicz, David J.; Xia, Xingwu On \(n\)-sums in an abelian group. (English) Zbl 1372.11031 Comb. Probab. Comput. 25, No. 3, 419-435 (2016). MSC: 11B75 11B30 20K01 PDFBibTeX XMLCite \textit{W. Gao} et al., Comb. Probab. Comput. 25, No. 3, 419--435 (2016; Zbl 1372.11031) Full Text: DOI
Chapman, Adam; Grynkiewicz, David J.; Matzri, Eliyahu; Rowen, Louis H.; Vishne, Uzi Kummer spaces in symbol algebras of prime degree. (English) Zbl 1373.16035 J. Pure Appl. Algebra 220, No. 10, 3363-3371 (2016). MSC: 16K20 PDFBibTeX XMLCite \textit{A. Chapman} et al., J. Pure Appl. Algebra 220, No. 10, 3363--3371 (2016; Zbl 1373.16035) Full Text: DOI arXiv
Baginski, Paul; Geroldinger, Alfred; Grynkiewicz, David J.; Philipp, Andreas Products of two atoms in Krull monoids and arithmetical characterizations of class groups. (English) Zbl 1309.20050 Eur. J. Comb. 34, No. 8, 1244-1268 (2013). Reviewer: Weidong Gao (Tianjin) MSC: 20M13 11B75 11R27 13A05 20D60 PDFBibTeX XMLCite \textit{P. Baginski} et al., Eur. J. Comb. 34, No. 8, 1244--1268 (2013; Zbl 1309.20050) Full Text: DOI
Grynkiewicz, David J. The large Davenport constant. II: General upper bounds. (English) Zbl 1288.20029 J. Pure Appl. Algebra 217, No. 12, 2221-2246 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20D60 11B75 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, J. Pure Appl. Algebra 217, No. 12, 2221--2246 (2013; Zbl 1288.20029) Full Text: DOI arXiv
Geroldinger, Alfred; Grynkiewicz, David J. The large Davenport constant. I: Groups with a cyclic, index 2 subgroup. (English) Zbl 1276.20027 J. Pure Appl. Algebra 217, No. 5, 863-885 (2013). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20D60 11B75 PDFBibTeX XMLCite \textit{A. Geroldinger} and \textit{D. J. Grynkiewicz}, J. Pure Appl. Algebra 217, No. 5, 863--885 (2013; Zbl 1276.20027) Full Text: DOI arXiv
Grynkiewicz, David J.; Philipp, Andreas; Ponomarenko, Vadim Arithmetic-progression-weighted subsequence sums. (English) Zbl 1316.11010 Isr. J. Math. 193, 359-398 (2013). MSC: 11B13 11B30 11B75 11P70 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz} et al., Isr. J. Math. 193, 359--398 (2013; Zbl 1316.11010) Full Text: DOI arXiv
Grynkiewicz, David J.; Marchan, Luz Elimar; Ordaz, Oscar A weighted generalization of two theorems of Gao. (English) Zbl 1320.11019 Ramanujan J. 28, No. 3, 323-340 (2012). MSC: 11B75 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz} et al., Ramanujan J. 28, No. 3, 323--340 (2012; Zbl 1320.11019) Full Text: DOI arXiv
Adhikari, Sukumar Das; Grynkiewicz, David J.; Sun, Zhi-Wei On weighted zero-sum sequences. (English) Zbl 1329.11019 Adv. Appl. Math. 48, No. 3, 506-527 (2012). Reviewer: Zhuang Jujuan (Dalian) MSC: 11B75 20K01 20D60 05D05 PDFBibTeX XMLCite \textit{S. D. Adhikari} et al., Adv. Appl. Math. 48, No. 3, 506--527 (2012; Zbl 1329.11019) Full Text: DOI arXiv
Geroldinger, A.; Grynkiewicz, D. J.; Schmid, W. A. Zero-sum problems with congruence conditions. (English) Zbl 1259.11020 Acta Math. Hung. 131, No. 4, 323-345 (2011). MSC: 11B30 11P70 20K01 PDFBibTeX XMLCite \textit{A. Geroldinger} et al., Acta Math. Hung. 131, No. 4, 323--345 (2011; Zbl 1259.11020) Full Text: DOI arXiv
Geroldinger, Alfred; Grynkiewicz, David J.; Schmid, Wolfgang A. The catenary degree of Krull monoids. I. (English. French summary) Zbl 1253.11101 J. Théor. Nombres Bordx. 23, No. 1, 137-169 (2011). Reviewer: Pedro A. García Sánchez (Granada) MSC: 11R27 13F05 20M13 PDFBibTeX XMLCite \textit{A. Geroldinger} et al., J. Théor. Nombres Bordx. 23, No. 1, 137--169 (2011; Zbl 1253.11101) Full Text: DOI Numdam EuDML
Grynkiewicz, David J. Note on a conjecture of Graham. (English) Zbl 1262.11007 Eur. J. Comb. 32, No. 8, 1336-1344 (2011). MSC: 11B50 11B75 20K01 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, Eur. J. Comb. 32, No. 8, 1336--1344 (2011; Zbl 1262.11007) Full Text: DOI arXiv
Grynkiewicz, David J. On extending Pollard’s theorem for \(t\)-representable sums. (English) Zbl 1223.11013 Isr. J. Math. 177, 413-439 (2010). Reviewer: Imre Z. Ruzsa (Budapest) MSC: 11B13 11B34 05B10 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, Isr. J. Math. 177, 413--439 (2010; Zbl 1223.11013) Full Text: DOI arXiv
Geroldinger, A.; Grynkiewicz, D. J.; Schaeffer, G. J.; Schmid, W. A. On the arithmetic of Krull monoids with infinite cyclic class group. (English) Zbl 1208.13003 J. Pure Appl. Algebra 214, No. 12, 2219-2250 (2010). Reviewer: David F. Anderson (Knoxville) MSC: 13A05 13F05 20M13 PDFBibTeX XMLCite \textit{A. Geroldinger} et al., J. Pure Appl. Algebra 214, No. 12, 2219--2250 (2010; Zbl 1208.13003) Full Text: DOI arXiv
Grynkiewicz, David; Serra, Oriol Properties of two-dimensional sets with small sumset. (English) Zbl 1205.11017 J. Comb. Theory, Ser. A 117, No. 2, 164-188 (2010). Reviewer: Luis Gallardo (Brest) MSC: 11P70 11B13 11B30 52A20 PDFBibTeX XMLCite \textit{D. Grynkiewicz} and \textit{O. Serra}, J. Comb. Theory, Ser. A 117, No. 2, 164--188 (2010; Zbl 1205.11017) Full Text: DOI arXiv
Grynkiewicz, David J.; Marchan, Luz E.; Ordaz, Oscar Representation of finite abelian group elements by subsequence sums. (English) Zbl 1214.11034 J. Théor. Nombres Bordx. 21, No. 3, 559-587 (2009). Reviewer: Weidong Gao (Tianjin) MSC: 11B75 20K01 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz} et al., J. Théor. Nombres Bordx. 21, No. 3, 559--587 (2009; Zbl 1214.11034) Full Text: DOI arXiv Numdam EuDML
Geroldinger, Alfred; Grynkiewicz, David J. On the arithmetic of Krull monoids with finite Davenport constant. (English) Zbl 1196.20066 J. Algebra 321, No. 4, 1256-1284 (2009). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 13F15 13F05 20M14 11R27 PDFBibTeX XMLCite \textit{A. Geroldinger} and \textit{D. J. Grynkiewicz}, J. Algebra 321, No. 4, 1256--1284 (2009; Zbl 1196.20066) Full Text: DOI
Grynkiewicz, David; Lev, Vsevolod F.; Serra, Oriol Connectivity of addition Cayley graphs. (English) Zbl 1202.05078 J. Comb. Theory, Ser. B 99, No. 1, 202-217 (2009). MSC: 05C40 05C25 PDFBibTeX XMLCite \textit{D. Grynkiewicz} et al., J. Comb. Theory, Ser. B 99, No. 1, 202--217 (2009; Zbl 1202.05078) Full Text: DOI arXiv
Grynkiewicz, David; Lev, Vsevolod F.; Serra, Oriol The connectivity of addition Cayley graphs. (English) Zbl 1259.05098 Márquez, Alberto (ed.) et al., Proceedings of the 4th European conference on combinatorics, graph theory and applications, EuroComb’07, Seville, Spain, September 11–15, 2007. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 29, 135-139 (2007). MSC: 05C40 05C25 PDFBibTeX XMLCite \textit{D. Grynkiewicz} et al., Electron. Notes Discrete Math. 29, 135--139 (2007; Zbl 1259.05098) Full Text: DOI
Grynkiewicz, David; Schultz, Andrew A five color zero-sum generalization. (English) Zbl 1111.05095 Graphs Comb. 22, No. 3, 351-360 (2006). MSC: 05D10 11B75 PDFBibTeX XMLCite \textit{D. Grynkiewicz} and \textit{A. Schultz}, Graphs Comb. 22, No. 3, 351--360 (2006; Zbl 1111.05095) Full Text: DOI
Grynkiewicz, David J. An extension of the Erdős-Ginzburg-Ziv theorem to hypergraphs. (English) Zbl 1107.11015 Eur. J. Comb. 26, No. 8, 1154-1176 (2005). Reviewer: László A. Székely (Columbia) MSC: 11B75 05D05 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, Eur. J. Comb. 26, No. 8, 1154--1176 (2005; Zbl 1107.11015) Full Text: DOI
Grynkiewicz, David J. Quasi-periodic decompositions and the Kemperman structure theorem. (English) Zbl 1116.11081 Eur. J. Comb. 26, No. 5, 559-575 (2005). Reviewer: Yahya Ould Hamidoune (Paris) MSC: 11P70 11B75 20D60 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, Eur. J. Comb. 26, No. 5, 559--575 (2005; Zbl 1116.11081) Full Text: DOI
Grynkiewicz, David J. On four colored sets with nondecreasing diameter and the Erdős-Ginzburg-Ziv theorem. (English) Zbl 1027.11016 J. Comb. Theory, Ser. A 100, No. 1, 44-60 (2002). Reviewer: Norbert Hegyvari (Budapest) MSC: 11B75 11B50 05D10 PDFBibTeX XMLCite \textit{D. J. Grynkiewicz}, J. Comb. Theory, Ser. A 100, No. 1, 44--60 (2002; Zbl 1027.11016) Full Text: DOI