PF
Peter Frankl
math.COcs.DMmath.MGcs.CCmath.PR
On Valency
published · living versionsW_63xaq7gw·v1 · currentpublished
The maximum size of intersecting -graphs with covering number
with Jian Wang, Yaoran Yang, Yutong Zhang
1 version
W_durw5x44·v1published
Preprints & journals
88 papers in the corpus · 2011–2026Proving the optimality of the product construction for the intersection--union problem2610.25049v1 · Fan Chang, Peter Frankl, Jian Wang2026 · 0 citationsarXivon Valency
Stability for Helly-type and triangle-free families2608.24349v1 · Peter Frankl, Jian Wang2026 · 0 citationsarXiv
On the product of cross-intersecting families with small covering number2606.01798v1 · Peter Frankl, Long Lin, Hehui Wu2026 · 0 citationsarXiv
On the product of cross-intersecting families with maximal covering number2606.01817v1 · Long Lin, Peter Frankl, Hehui Wu2026 · 1 citationarXiv
A product version of the Hilton-Milner Theorem II2605.09246v1 · Peter Frankl, Jian Wang2026 · 0 citationsarXiv
Intersecting families with covering number three II2605.08603v1 · Peter Frankl, Jian Wang2026 · 0 citationsarXiv
Matching and intersection problems for non-trivial -partite -uniform hypergraphs2604.10928v2 · Peter Frankl, Jiaxi Nie2026 · 0 citationsarXiv
The exact Erdős-Ko-Rado Theorem for 3-wise -intersecting uniform families2603.07991v2 · Peter Frankl, Jian Wang2026 · 0 citationsarXiv
Towards the Erdős matching conjecture for 4-uniform hypergraphs: stability and applications2602.19230v2 · Peter Frankl, Hongliang Lu, Jie Ma et al.2026 · 0 citationsarXiv
On the largest degrees in intersecting hypergraphs2511.15508v1 · Peter Frankl, Jian Wang2025 · 0 citationsarXiv
The overflow in the Katona Theorem2506.05704v1 · Peter Frankl, Jian Wang2025 · 0 citationsarXiv
On resilient hypergraphs2503.08406v1 · Peter Frankl, Jian Wang2025 · 0 citationsarXiv
Intersecting Families of Spanning Trees2502.08128v2 · Peter Frankl, Glenn Hurlbert, Ferdinand Ihringer et al.2025 · 0 citationsarXiv
The Hajnal--Rothschild problem2502.06699v1 · Peter Frankl, Andrey Kupavskii2025 · 0 citationsarXiv
The maximum sturdiness of intersecting families2412.07090v1 · Peter Frankl, Jian Wang2024 · 0 citationsarXiv
On the Matching Problem in Random Hypergraphs2410.15585v2 · Peter Frankl, Jiaxi Nie, Jian Wang2024 · 0 citationsarXiv
On -wise -intersecting uniform families2409.19344v1 · Peter Frankl, Jian Wang2024 · 1 citationarXiv
On odd covers of cliques and disjoint unions2408.08598v1 · Calum Buchanan, Alexander Clifton, Eric Culver et al.2024 · 0 citationsarXiv
Intersection problems and a correlation inequality for integer sequences2408.08221v1 · Peter Frankl, Andrey Kupavskii2024 · 0 citationsarXiv
Intersecting families with large shadow degree2406.00465v2 · Peter Frankl, Jian Wang2024 · 1 citationarXiv
Triangle-free triple systems2405.16452v1 · Peter Frankl, Zolt'an Furedi, Ido Goorevitch et al.2024 · 0 citationsarXiv
Non-trivial -wise agreeing families2404.14178v3 · Peter Frankl, Andrey Kupavskii2024 · 0 citationsarXiv
Odd-Sunflowers2310.16701v2 · Peter Frankl, J'anos Pach, Domotor P'alvolgyi2023 · 0 citationsarXiv
On the -diversity of intersecting hypergraphs2308.14028v2 · Peter Frankl, Jian Wang2023 · 0 citationsarXiv
Variations on the Bollobás set-pair theorem2307.14704v1 · G'abor Hegedus, P'eter Frankl2023 · 5 citationsarXiv
Improved bounds on the maximum diversity of intersecting families2304.11089v1 · Peter Frankl, Jian Wang2023 · 14 citationsarXiv
On asymptotic local Turán problems2303.00375v3 · Peter Frankl, Jiaxi Nie2023 · 0 citationsMoscow J. Comb. Number Th. 12 (2023) 273-286
Four-vertex traces of finite sets2301.05830v1 · Peter Frankl, Jian Wang2023 · 0 citationsarXiv
Best possible bounds on the double-diversity of intersecting hypergraphs2212.11650v1 · Peter Frankl, Jian Wang2022 · 4 citationsComb. Number Th. 14 (2025) 91-112
Turán graphs with bounded matching number2210.15076v1 · Noga Alon, Peter Frankl2022 · 28 citationsarXiv
Improved bounds concerning the maximum degree of intersecting hypergraphs2210.11172v1 · Peter Frankl, Jian Wang2022 · 1 citationarXiv
On the maximum of the sum of the sizes of non-trivial cross-intersecting families2209.01826v1 · Peter Frankl2022 · 10 citationsarXiv
Intersecting families with covering number three2207.05487v4 · Peter Frankl, Jian Wang2022 · 6 citationsarXiv
On the Holroyd-Talbot Conjecture for Sparse Graphs2207.01661v3 · Peter Frankl, Glenn Hurlbert2022 · 0 citationsarXiv
A Product Version of the Hilton-Milner-Frankl Theorem2206.07217v2 · Peter Frankl, Jian Wang2022 · 10 citationsarXiv
A Product Version of the Hilton-Milner Theorem2206.07218v2 · Peter Frankl, Jian Wang2022 · 9 citationsarXiv
Intersections and Distinct Intersections in Cross-intersecting Families2205.00109v1 · Peter Frankl, Jian Wang2022 · 5 citationsarXiv
Extremal results for graphs avoiding a rainbow subgraph2204.07567v3 · Peter Frankl, Ervin Gyori, Zhen He et al.2022 · 7 citationsarXiv
Graphs without rainbow triangles2203.07768v1 · Peter Frankl2022 · 2 citationsarXiv
Perfect matchings in down-sets2201.03865v1 · Peter Frankl, Andrey Kupavskii2022 · 1 citationarXiv
A Variant of the VC-dimension with Applications to Depth-3 Circuits2111.09671v1 · Peter Frankl, Svyatoslav Gryaznov, Navid Talebanfard2021 · 0 citationsarXiv
Piercing the chessboard2111.09702v3 · Gergely Ambrus, Imre B'ar'any, P'eter Frankl et al.2021 · 0 citationsSIAM Journal on Discrete Mathematics, 37, no. 3, 1457-1471. (2023)
On the maximum number of distinct intersections in an intersecting family2108.00479v1 · Peter Frankl, Sergei Kiselev, Andrey Kupavskii2021 · 6 citationsarXiv
Uniform intersecting families with large covering number2106.05344v3 · Peter Frankl, Andrey Kupavskii2021 · 3 citationsarXiv
Best possible bounds on the number of distinct differences in intersecting families2106.05355v2 · Peter Frankl, Sergei Kiselev, Andrey Kupavskii2021 · 3 citationsarXiv
On the sum of sizes of overlapping families2105.00481v1 · Peter Frankl, Jian Wang2021 · 3 citationsarXiv
Exchange properties of finite set-systems2103.14358v3 · Peter Frankl, J'anos Pach, Domotor P'alvolgyi2021 · 2 citationsarXiv
On well-connected sets of strings2102.10704v2 · Peter Frankl, Janos Pach2021 · 2 citationsarXiv
On strengthenings of the intersecting shadow theorem2101.03015v1 · P. Frankl, G.O.H. Katona2021 · 6 citationsarXiv
On the Maximum Number of Edges in Hypergraphs with Fixed Matching and Clique Number2012.15142v1 · Peter Frankl, Erica L.L. Liu, Jian Wang2020 · 1 citationarXiv
Career total: 456 works. 88 are in this corpus.Showing the 50 most recent.
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