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math.CO updates on arXiv.org

Proper Additive Edge Colorings of Regular Graphs The $k$-out-of-$n$ picture-hanging puzzle: shorter solutions for small $k$ and $n-k$ Triangle Families with Large Edge Up-Laplacian Spectral Gap Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$ Relations between categorifications of higher-dimensional type $A$ cluster combinatorics Two Arc-Disjoint Hamiltonian Paths in Finite Two-Generated Abelian Cayley Digraphs Inhomogeneous Approximation by Sums of Roots On the cycle structure of the symmetric tensor power of permutations $2$-word-$π$-representable Graphs Sufficient conditions for fractional $k$-factor-critical graphs with minimum degree to be $k$-factor-critical The list r-hued coloring of trees and unicyclic graphs Above and below Locally anti-blocking $\mathbf{g}$-polytopes for flow polytopes Words for generalized Markov numbers Polytopes and posets associated to preorders A palindromicity criterion for the $h$-polynomials of bipartite edge rings Signed Generalized Stirling Polynomials, Nested Sums, and Hyperbolic Secant Integral Identities Ramsey goodness of complete multipartite graphs with one large part Prime Certificates for Exact Vertex-Coprime Ramsey Numbers Combinatorics of Inflection Points of Plane Curve Shadows Absorbing States of Binary Trust Gossip Are Counted by Plane Partitions The V/L recursion for Macdonald's 7th Variation Schur polynomials Retraction of the complement of smooth projective curves to a $2$-dimensional $Δ$-complex Sum of the $k$ Largest Eigenvalues of Symmetric Matrices: Theory and Applications A Degree-Preserving Builder--Chooser Game Euclidean Steiner Shallow-Light Trees in Higher Dimensions Spectral Sidorenko inequalities and edge-spectral supersaturation Motivic Segre classes of Schubert cells and the connective formal group law A note on the exact partition polytope of Frieze and Teng The maximum number of paths of a given length in a nonhamiltonian graph Low Soundness Linearity Testing on the Half-Slice Problems in additive number theory, VII: The structure of additive $h$-bases for $n$ On planar functions over $\mathbb{F}_{q^3}$ The Fujimoto Conjecture via Total Positivity On modular inequalities for plane projective curves A note on integer programming methods for mixed radial Moore graphs A finite-board reduction for the Erdős Matching Conjecture and the 4-uniform case via exact certificates On partial groups of small order Extremal $t$-intersecting Families of Permutations for Large $t$ Random Permutations from Bott-Samelson Varieties On the maximal dimension of an irreducible representation of the symmetric group Intervals of hypergraph Turán densities Rainbow panconnectivity in a graph collection $K_{2,t+1}$-free graphs with many copies of $K_{t,t}$ Sharper Ramsey lower bounds from refined Gaussian estimates Amply regular graphs with $μ$ close to half the valency and group divisible designs Characterization of Word-Representable Near-Triangulations A Bruhat order for Latin squares and alternating sign hypermatrices Weighted Clique and Independent Set in Edge-Distant Hereditary Graphs On the $d$-rigidity phase transition in random graphs Tight cuts in matching covered graphs What if we decompose a simple tone? 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The acyclic directed bunkbed conjecture is false
Tomasz Przybyłowski · 2025-06-27 · via math.CO updates on arXiv.org

We construct a simple acyclic directed graph for which the Bunkbed Conjecture is false, thereby resolving conjectures posed by Leander and by Hollom.