Neighborhood complexes and Kronecker double coverings

zbMath1473.05333arXiv1404.1549MaRDI QIDQ2231247

Takahiro Matsushita

Publication date: 29 September 2021

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1549

zbMATH Keywords

chromatic numberKneser graph

Mathematics Subject Classification ID

Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Coloring of graphs and hypergraphs (05C15) Simplicial sets and complexes in algebraic topology (55U10) Combinatorial aspects of simplicial complexes (05E45)

Cites Work

• Kneser's conjecture, chromatic number, and homotopy
• Multiple Kronecker covering graphs
• Homotopy types of box complexes
• Topological lower bounds for the chromatic number: a hierarchy
• From graphs to ortholattices and equivariant maps
• Homotopy types of the Hom complexes of graphs
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Basic Category Theory
• Neighborhood hypergraphs of bipartite graphs
• Combinatorial algebraic topology

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