Beyond Nash-Williams: Counterexamples to Clique Decomposition Thresholds for All Cliques Larger than Triangles
Fuente:
arXiv
Saved in:
| Main Authors: | Delcourt, Michelle, Henderson, Cicely, Lesgourgues, Thomas, Postle, Luke |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Fractional Clique Decompositions of Dense Hypergraphs
by: Delcourt, Michelle, et al.
Published: (2025)
by: Delcourt, Michelle, et al.
Published: (2025)
Erdős meets Nash-Williams
by: Delcourt, Michelle, et al.
Published: (2025)
by: Delcourt, Michelle, et al.
Published: (2025)
On the Hypergraph Nash-Williams' Conjecture
by: Henderson, Cicely, et al.
Published: (2025)
by: Henderson, Cicely, et al.
Published: (2025)
Clique Decompositions in Random Graphs via Refined Absorption
by: Delcourt, Michelle, et al.
Published: (2024)
by: Delcourt, Michelle, et al.
Published: (2024)
Finding an almost perfect matching in a hypergraph avoiding forbidden submatchings
by: Delcourt, Michelle, et al.
Published: (2022)
by: Delcourt, Michelle, et al.
Published: (2022)
Refined Absorption: A New Proof of the Existence Conjecture
by: Delcourt, Michelle, et al.
Published: (2024)
by: Delcourt, Michelle, et al.
Published: (2024)
Proof of the High Girth Existence Conjecture via Refined Absorption
by: Delcourt, Michelle, et al.
Published: (2024)
by: Delcourt, Michelle, et al.
Published: (2024)
Thresholds for $(n,q,2)$-Steiner Systems via Refined Absorption
by: Delcourt, Michelle, et al.
Published: (2024)
by: Delcourt, Michelle, et al.
Published: (2024)
A Short Proof of the Existence of $K_q^r$-absorbers
by: Delcourt, Michelle, et al.
Published: (2024)
by: Delcourt, Michelle, et al.
Published: (2024)
Decomposition of Cliques into $k$-Star-Forests
by: Nie, Jiaxi, et al.
Published: (2025)
by: Nie, Jiaxi, et al.
Published: (2025)
A construction of Steiner Triple Systems of type $v\longrightarrow 2v+7$
by: Bonacini, Paola, et al.
Published: (2025)
by: Bonacini, Paola, et al.
Published: (2025)
Duplicated Steiner triple systems with self-orthogonal near resolutions
by: Dukes, Peter J., et al.
Published: (2024)
by: Dukes, Peter J., et al.
Published: (2024)
Triangle decompositions of PG(n-1,2)
by: Shi, Minjia, et al.
Published: (2024)
by: Shi, Minjia, et al.
Published: (2024)
Colourings of Uniform Group Divisible Designs and Maximum Packings
by: Burgess, Andrea C, et al.
Published: (2025)
by: Burgess, Andrea C, et al.
Published: (2025)
Sharp Threshold for Cliques in Random 0/1 Polytope Graphs
by: Babecki, Catherine, et al.
Published: (2025)
by: Babecki, Catherine, et al.
Published: (2025)
Excess Coverage Arrays and Levenshtein's Conjecture
by: Gentle, Amber E., et al.
Published: (2024)
by: Gentle, Amber E., et al.
Published: (2024)
Weak colourings of Kirkman triple systems
by: Burgess, Andrea C., et al.
Published: (2024)
by: Burgess, Andrea C., et al.
Published: (2024)
An exact small-$n$ computation of the minimum 2-coloring discrepancy of $K_n^{(3)}$
by: Niu, Tong
Published: (2026)
by: Niu, Tong
Published: (2026)
Skirting the $n$-tuples
by: Adriaensen, Sam, et al.
Published: (2026)
by: Adriaensen, Sam, et al.
Published: (2026)
Further Results on Existentially Closed Graphs Arising from Block Designs
by: Lu, Xiao-Nan
Published: (2018)
by: Lu, Xiao-Nan
Published: (2018)
A SAT-based Filtering Framework for Exact Coverings of K33 by Cliques of Order 3, 4 or 5
by: Kovař, Petr, et al.
Published: (2026)
by: Kovař, Petr, et al.
Published: (2026)
Disjoint pairs in set systems and combinatorics of low rank matrices
by: Hunter, Zach, et al.
Published: (2024)
by: Hunter, Zach, et al.
Published: (2024)
A cube dismantling problem related to bootstrap percolation
by: Barát, János, et al.
Published: (2026)
by: Barát, János, et al.
Published: (2026)
Maximal sets of mutually orthogonal frequency squares and Doehlert-Klee designs
by: Bodkin, Carly, et al.
Published: (2025)
by: Bodkin, Carly, et al.
Published: (2025)
On the Lottery Problem: Tracing Stefan Mandel's Combinatorial Condensation
by: Stömmer, Ralph
Published: (2024)
by: Stömmer, Ralph
Published: (2024)
Entropy Bounds for Perfect Matchings in Bipartite Hypergraphs
by: Dai, Tantan, et al.
Published: (2025)
by: Dai, Tantan, et al.
Published: (2025)
Minimal abundant packings and choosability with separation
by: Furedi, Zoltan, et al.
Published: (2013)
by: Furedi, Zoltan, et al.
Published: (2013)
Three-dimensional symmetric designs of propriety 3
by: Bahmanian, Amin, et al.
Published: (2025)
by: Bahmanian, Amin, et al.
Published: (2025)
Minimum packing density for sets of four integers
by: Li, Cindy, et al.
Published: (2025)
by: Li, Cindy, et al.
Published: (2025)
Determining Covering Array Numbers via Balanced Covering Arrays
by: Hiess, Irene, et al.
Published: (2025)
by: Hiess, Irene, et al.
Published: (2025)
The Ehrhart polynomial of a matroid specializes to the beta invariant
by: Chavez, Anastasia, et al.
Published: (2025)
by: Chavez, Anastasia, et al.
Published: (2025)
Enumeration of multipartite series-reduced trees
by: Jumadildayev, Medet
Published: (2025)
by: Jumadildayev, Medet
Published: (2025)
Linear and Circular Single Change Covering Designs Re-visited
by: Chafee, Amanda, et al.
Published: (2022)
by: Chafee, Amanda, et al.
Published: (2022)
Positroidal aspects of non-nesting rook placements
by: Jal, Aryaman
Published: (2025)
by: Jal, Aryaman
Published: (2025)
On the connected blocks polytope
by: Bruckamp, Justus, et al.
Published: (2023)
by: Bruckamp, Justus, et al.
Published: (2023)
Hadamard Products of dual Jacobi-Trudi matrices
by: Angarone, Robert, et al.
Published: (2025)
by: Angarone, Robert, et al.
Published: (2025)
Difference Methods for Double-Change Covering Designs
by: Chafee, Amanda Lynn, et al.
Published: (2022)
by: Chafee, Amanda Lynn, et al.
Published: (2022)
The Unravelling Problem
by: Elbracht, Christian, et al.
Published: (2021)
by: Elbracht, Christian, et al.
Published: (2021)
Nordhaus-Gaddum-type theorems for maximum average degree
by: Caro, Yair, et al.
Published: (2025)
by: Caro, Yair, et al.
Published: (2025)
Codes and designs in multivariate $Q$-polynomial association schemes
by: Shi, Minjia, et al.
Published: (2026)
by: Shi, Minjia, et al.
Published: (2026)
Similar Items
-
Fractional Clique Decompositions of Dense Hypergraphs
by: Delcourt, Michelle, et al.
Published: (2025) -
Erdős meets Nash-Williams
by: Delcourt, Michelle, et al.
Published: (2025) -
On the Hypergraph Nash-Williams' Conjecture
by: Henderson, Cicely, et al.
Published: (2025) -
Clique Decompositions in Random Graphs via Refined Absorption
by: Delcourt, Michelle, et al.
Published: (2024) -
Finding an almost perfect matching in a hypergraph avoiding forbidden submatchings
by: Delcourt, Michelle, et al.
Published: (2022)