Frankl, Peter; Kupavskii, Andrey Intersection theorems for \((- 1, 0, 1)\)-vectors. (English) Zbl 07793127 Eur. J. Comb. 117, Article ID 103830, 9 p. (2024). MSC: 05D05 05C35 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Eur. J. Comb. 117, Article ID 103830, 9 p. (2024; Zbl 07793127) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Uniform intersecting families with large covering number. (English) Zbl 1519.05239 Eur. J. Comb. 113, Article ID 103747, 9 p. (2023). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Eur. J. Comb. 113, Article ID 103747, 9 p. (2023; Zbl 1519.05239) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Perfect matchings in down-sets. (English) Zbl 1521.05205 Discrete Math. 346, No. 5, Article ID 113323, 7 p. (2023). Reviewer: Anurag Singh (Raipur) MSC: 05D05 05E45 05C35 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Discrete Math. 346, No. 5, Article ID 113323, 7 p. (2023; Zbl 1521.05205) Full Text: DOI arXiv
Frankl, Peter; Kiselev, Sergei; Kupavskii, Andrey Best possible bounds on the number of distinct differences in intersecting families. (English) Zbl 1498.05266 Eur. J. Comb. 107, Article ID 103601, 10 p. (2023). MSC: 05D05 05A15 PDFBibTeX XMLCite \textit{P. Frankl} et al., Eur. J. Comb. 107, Article ID 103601, 10 p. (2023; Zbl 1498.05266) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey The Erdős matching conjecture and concentration inequalities. (English) Zbl 1497.05253 J. Comb. Theory, Ser. B 157, 366-400 (2022). MSC: 05D05 05C70 05C35 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, J. Comb. Theory, Ser. B 157, 366--400 (2022; Zbl 1497.05253) Full Text: DOI arXiv
Frankl, Peter; Holmsen, Andreas; Kupavskii, Andrey Intersection theorems for triangles. (English) Zbl 1497.05252 Discrete Comput. Geom. 68, No. 3, 728-737 (2022). MSC: 05D05 05C65 52C45 PDFBibTeX XMLCite \textit{P. Frankl} et al., Discrete Comput. Geom. 68, No. 3, 728--737 (2022; Zbl 1497.05252) Full Text: DOI arXiv
Frankl, Peter; Kiselev, Sergei; Kupavskii, Andrey On the maximum number of distinct intersections in an intersecting family. (English) Zbl 1482.05327 Discrete Math. 345, No. 4, Article ID 112757, 6 p. (2022). MSC: 05D05 05A15 PDFBibTeX XMLCite \textit{P. Frankl} et al., Discrete Math. 345, No. 4, Article ID 112757, 6 p. (2022; Zbl 1482.05327) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Diversity. (English) Zbl 1487.05260 J. Comb. Theory, Ser. A 182, Article ID 105468, 27 p. (2021). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, J. Comb. Theory, Ser. A 182, Article ID 105468, 27 p. (2021; Zbl 1487.05260) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Beyond the Erdős matching conjecture. (English) Zbl 1466.05206 Eur. J. Comb. 95, Article ID 103338, 12 p. (2021). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Eur. J. Comb. 95, Article ID 103338, 12 p. (2021; Zbl 1466.05206) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Almost intersecting families. (English) Zbl 1461.05231 Electron. J. Comb. 28, No. 2, Research Paper P2.7, 16 p. (2021). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Electron. J. Comb. 28, No. 2, Research Paper P2.7, 16 p. (2021; Zbl 1461.05231) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Simple juntas for shifted families. (English) Zbl 1450.05091 Discrete Anal. 2020, Paper No. 14, 18 p. (2020). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Discrete Anal. 2020, Paper No. 14, 18 p. (2020; Zbl 1450.05091) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Sharp results concerning disjoint cross-intersecting families. (English) Zbl 1437.05230 Eur. J. Comb. 86, Article ID 103089, 10 p. (2020). MSC: 05D05 05A20 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Eur. J. Comb. 86, Article ID 103089, 10 p. (2020; Zbl 1437.05230) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Maximal degrees in subgraphs of Kneser graphs. arXiv:2004.08718 Preprint, arXiv:2004.08718 [math.CO] (2020). BibTeX Cite \textit{P. Frankl} and \textit{A. Kupavskii}, ``Maximal degrees in subgraphs of Kneser graphs'', Preprint, arXiv:2004.08718 [math.CO] (2020) Full Text: arXiv OA License
Frankl, Peter; Kupavskii, Andrey Incompatible intersection properties. (English) Zbl 1449.05236 Combinatorica 39, No. 6, 1255-1266 (2019). Reviewer: Gregory Loren McColm (Tampa) MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Combinatorica 39, No. 6, 1255--1266 (2019; Zbl 1449.05236) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Correction to the article: “Intersection theorems for \((0,\pm1)\)-vectors and \(s\)-cross-intersecting families”. (English) Zbl 1426.05171 Mosc. J. Comb. Number Theory 8, No. 4, 389-391 (2019). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Mosc. J. Comb. Number Theory 8, No. 4, 389--391 (2019; Zbl 1426.05171) Full Text: DOI
Frankl, Peter; Kupavskii, Andrey Partition-free families of sets. (English) Zbl 1422.05102 Proc. Lond. Math. Soc. (3) 119, No. 2, 440-468 (2019). MSC: 05D15 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Proc. Lond. Math. Soc. (3) 119, No. 2, 440--468 (2019; Zbl 1422.05102) Full Text: DOI arXiv Link
Frankl, Peter; Kupavskii, Andrey Two problems on matchings in set families – in the footsteps of Erdős and Kleitman. (English) Zbl 1415.05175 J. Comb. Theory, Ser. B 138, 286-313 (2019). MSC: 05D05 05D15 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, J. Comb. Theory, Ser. B 138, 286--313 (2019; Zbl 1415.05175) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Families of sets with no matchings of sizes 3 and 4. (English) Zbl 1400.05252 Eur. J. Comb. 75, 123-135 (2019). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Eur. J. Comb. 75, 123--135 (2019; Zbl 1400.05252) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey A short proof for an extension of the Erdős-Ko-Rado theorem. (English) Zbl 1398.05211 Butler, Steve (ed.) et al., Connections in discrete mathematics. A celebration of the work of Ron Graham. Cambridge: Cambridge University Press (ISBN 978-1-316-60788-6/pbk; 978-1-107-15398-1/hbk; 978-131-665029-5/ebook). 169-172 (2018). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, in: Connections in discrete mathematics. A celebration of the work of Ron Graham. Cambridge: Cambridge University Press. 169--172 (2018; Zbl 1398.05211) Full Text: DOI
Frankl, Peter; Kupavskii, Andrey Families of vectors without antipodal pairs. (English) Zbl 1413.05369 Stud. Sci. Math. Hung. 55, No. 2, 231-237 (2018). Reviewer: Peter Horák (Tacoma) MSC: 05D05 05C65 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Stud. Sci. Math. Hung. 55, No. 2, 231--237 (2018; Zbl 1413.05369) Full Text: DOI arXiv Link
Frankl, Peter; Kupavskii, Andrey New inequalities for families without \(k\) pairwise disjoint members. (English) Zbl 1385.05069 J. Comb. Theory, Ser. A 157, 427-434 (2018). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, J. Comb. Theory, Ser. A 157, 427--434 (2018; Zbl 1385.05069) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Counting intersecting and pairs of cross-intersecting families. (English) Zbl 1378.05202 Comb. Probab. Comput. 27, No. 1, 60-68 (2018). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Comb. Probab. Comput. 27, No. 1, 60--68 (2018; Zbl 1378.05202) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Erdős-Ko-Rado theorem for \(\{0,\pm 1\}\)-vectors. (English) Zbl 1441.05215 J. Comb. Theory, Ser. A 155, 157-179 (2018). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, J. Comb. Theory, Ser. A 155, 157--179 (2018; Zbl 1441.05215) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Families with no matchings of size \(s\). (English) Zbl 1378.05201 Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 483-489 (2017). MSC: 05D05 05D15 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Electron. Notes Discrete Math. 61, 483--489 (2017; Zbl 1378.05201) Full Text: DOI
Frankl, Peter; Kupavskii, Andrey Intersection theorems for \(\{0,\pm1\}\)-vectors and \(s\)-cross-intersecting families. (English) Zbl 1395.05177 Mosc. J. Comb. Number Theory 7, No. 2, 3-21 (2017); correction ibid. 8, No. 4, 389-391 (2019). Reviewer: Peter Borg (Malta) MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Mosc. J. Comb. Number Theory 7, No. 2, 3--21 (2017; Zbl 1395.05177) Full Text: arXiv Link
Frankl, Peter; Kupavskii, Andrey Uniform \(s\)-cross-intersecting families. (English) Zbl 1371.05298 Comb. Probab. Comput. 26, No. 4, 517-524 (2017). MSC: 05D05 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Comb. Probab. Comput. 26, No. 4, 517--524 (2017; Zbl 1371.05298) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey Families with no \(s\) pairwise disjoint sets. (English) Zbl 1370.05214 J. Lond. Math. Soc., II. Ser. 95, No. 3, 875-894 (2017). MSC: 05D15 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, J. Lond. Math. Soc., II. Ser. 95, No. 3, 875--894 (2017; Zbl 1370.05214) Full Text: DOI arXiv
Frankl, Peter; Kupavskii, Andrey A size-sensitive inequality for cross-intersecting families. (English) Zbl 1358.05295 Eur. J. Comb. 62, 263-271 (2017). MSC: 05D05 05A20 PDFBibTeX XMLCite \textit{P. Frankl} and \textit{A. Kupavskii}, Eur. J. Comb. 62, 263--271 (2017; Zbl 1358.05295) Full Text: DOI arXiv