Cover Image

The maximum sum of the sizes of all intersections within $m$-size families

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Huang, Sumin, Katona, Gyula O. H., Yue, Erfei
Format:	Preprint
Published:	2024
Subjects:	Combinatorics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The maximum sum of the size of all intersections within intersecting families and crossing-intersecting families
by: Huang, Sumin
Published: (2024)

Intersecting families with bounded intersections
by: Ago, Kristina, et al.
Published: (2026)

The maximum sum of sizes of non-empty cross $t$-intersecting families
by: Li, Shuang, et al.
Published: (2023)

The maximum sum of sizes of non-empty cross $L$-intersecting families
by: Zhao, Xiamiao, et al.
Published: (2025)

The maximum product of sizes of cross-\(t\)-intersecting families
by: Bao, Jingjun, et al.
Published: (2025)

Ramsey-Turán theory for partially-ordered sets
by: Katona, Gyula O. H., et al.
Published: (2026)

Nearly Erdős-Ko-Rado theorems
by: Katona, Gyula O. H., et al.
Published: (2026)

Erdős-Gyárfás problem for partially ordered sets
by: Katona, Gyula O. H., et al.
Published: (2026)

Finding one excellent element in case of one lie
by: Gupta, Aanchal, et al.
Published: (2025)

Most probably trangle-free graphs
by: Bai, Yuhang, et al.
Published: (2026)

The maximal sum of sizes of cross intersecting families for multisets
by: Wang, Hongkui, et al.
Published: (2024)

The maximum sturdiness of intersecting families
by: Frankl, Peter, et al.
Published: (2024)

On Bollobás-type theorems of $d$-tuples
by: Yue, Erfei
Published: (2024)

Some new Bollobás-type inequalities
by: Yue, Erfei
Published: (2024)

Minimal toughness in special graph classes
by: Katona, Gyula Y., et al.
Published: (2018)

On the structures of subset sums in higher dimension
by: Hegyvári, Norbert, et al.
Published: (2024)

Ramsey numbers for partially-ordered sets
by: Katona, Gyula O. H., et al.
Published: (2025)

Minimally tough series-parallel graphs with toughness at least $1/2$
by: Katona, Gyula Y., et al.
Published: (2025)

Partitioning set $[n] = \{1, \dots, n\}$ into subsets of size at most $m$ such that all sums are powers of $m$
by: Gurvich, Vladimir, et al.
Published: (2025)

Boolean lattice without small rainbow subposets
by: Katona, Gyula O. H., et al.
Published: (2026)

Bounded fractional intersecting families are linear in size
by: Balachandran, Niranjan, et al.
Published: (2024)

A note on the maximum diversity of intersecting families in the symmetric group
by: Wang, Jian, et al.
Published: (2025)

Counting cliques with prescribed intersection sizes
by: Zhao, Yuhao, et al.
Published: (2025)

Poset saturation of unions of chains
by: Ji, Shengjin, et al.
Published: (2025)

On the $\ell$-th largest degree of an intersecting family
by: Huang, Hao, et al.
Published: (2026)

Identification of a monotone Boolean function with $k$ "reasons" as a combinatorial search problem
by: Gerbner, Dániel, et al.
Published: (2024)

Toward a Baranyai Theorem With an Additional Condition
by: Gyula O. H. Katona, et al.
Published: (2025)

A Bollobáss-type theorem on singular linear spaces
by: Yue, Erfei, et al.
Published: (2024)

On the intersecting family process
by: Bennett, Patrick, et al.
Published: (2023)

Maximal intersecting families revisited
by: Wu, Yongjiang, et al.
Published: (2024)

On cross-2-intersecting families
by: Chen, Yanhong, et al.
Published: (2025)

Counting induced subgraphs with given intersection sizes
by: Zhang, Haixiang, et al.
Published: (2025)

The maximum size of the partial ground set of skew Bollobás systems
by: Fang, Yu, et al.
Published: (2026)

On $r$-wise $t$-intersecting uniform families
by: Frankl, Peter, et al.
Published: (2024)

$s$-almost $t$-intersecting families for vector spaces
by: Yu, Shuhui, et al.
Published: (2024)

Avoiding intersections of given size in finite affine spaces AG(n,2)
by: Kovács, Benedek, et al.
Published: (2023)

An upper bound for union-closed family size
by: Bouchard, Christopher
Published: (2025)

Cross-free families have linear size
by: Tomon, István
Published: (2026)

Concentration of the maximum size of an induced subtree in moderately sparse random graphs
by: Oropeza, Juan Carlos Buitrago
Published: (2025)

Some results on minimum saturated graphs
by: Zhang, Chenke, et al.
Published: (2025)