Counterexamples to Hedetniemi's conjecture
From MaRDI portal
Publication:2274002
DOI10.4007/annals.2019.190.2.6zbMath1451.05087arXiv1905.02167OpenAlexW2969838569WikidataQ122932603 ScholiaQ122932603MaRDI QIDQ2274002
Publication date: 19 September 2019
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.02167
Related Items
Topology and Adjunction in Promise Constraint Satisfaction ⋮ In praise of homomorphisms ⋮ Distance formula for direct-co-direct product in the case of disconnected factors ⋮ Thinness of product graphs ⋮ On the \(r\)-dynamic coloring of the direct product of a path with either a path or a cycle ⋮ The fractional chromatic number of generalized cones over graphs ⋮ The chromatic number of the product of 14-chromatic graphs can be 13 ⋮ Shannon capacity and the categorical product ⋮ On the Generalized $\vartheta$-Number and Related Problems for Highly Symmetric Graphs ⋮ Neighborhood complexes, homotopy test graphs and an application to coloring of product graphs ⋮ On multichromatic numbers of widely colorable graphs ⋮ Hedetniemi's conjecture from the topological viewpoint ⋮ On some metric properties of direct-co-direct product ⋮ Acyclic coloring of products of digraphs ⋮ On locally identifying coloring of graphs ⋮ On total coloring the direct product of cycles and bipartite direct product of graphs ⋮ Relatively small counterexamples to Hedetniemi's conjecture ⋮ Hedetniemi's conjecture is asymptotically false ⋮ 𝜔-categorical structures avoiding height 1 identities ⋮ Minimal definable graphs of definable chromatic number at least three ⋮ A complexity problem for Borel graphs ⋮ Quantum multiplicative graph and a type of separate clique number ⋮ The diameter of strong orientations of strong products of graphs ⋮ A note on Hedetniemi's conjecture, Stahl's conjecture and the Poljak-Rödl function ⋮ Note on Hedetniemi's conjecture and the Poljak-Rödl function ⋮ Hedetniemi's Conjecture and Strongly Multiplicative Graphs ⋮ A note on the Poljak-Rödl function ⋮ Counterexamples to Hedetniemi's conjecture with large fractional chromatic numbers ⋮ Chromatic numbers, Sabidussi's theorem and Hedetniemi's conjecture for non-commutative graphs ⋮ Fine-Grained Complexity of the Graph Homomorphism Problem for Bounded-Treewidth Graphs ⋮ Counterexamples to Hedetniemi's conjecture and infinite Boolean lattices
Cites Work
- Unnamed Item
- Hedetniemi's conjecture for uncountable graphs
- Hedetniemi's conjecture for Kneser hypergraphs
- The fractional version of Hedetniemi's conjecture is true
- Symmetric graphs and interpretations
- The chromatic number of the product of two 4-chromatic graphs is 4
- The chromatic number of the product of two \(\aleph _ 1\)-chromatic graphs can be countable
- On multiplicative graphs and the product conjecture
- On the arc-chromatic number of a digraph
- A survey on Hedetniemi's conjecture
- Coloring graph products---a survey
- On inverse powers of graphs and topological implications of Hedetniemi's conjecture
- Independence and coloring properties of direct products of some vertex-transitive graphs
- Multiplicative graphs and semi-lattice endomorphisms in the category of graphs
- Graph Theory and Probability
- On the chromatic number of the product of graphs
- Hedetniemi's conjecture---a survey