Algebraic connectedness and bipartiteness of quantum graphs

DOI10.1007/s00220-024-05046-yMaRDI QIDQ6585686

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Publication date: 12 August 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

graph homomorphismsbipartitenesstwo-colorability

Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Connectivity (05C40) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Cites Work

• Categorical formulation of finite-dimensional quantum algebras
• Complete logarithmic Sobolev inequalities via Ricci curvature bounded below
• Some examples of quantum graphs
• Bigalois extensions and the graph isomorphism game
• Connectivity for quantum graphs
• Zero-Error Communication via Quantum Channels, Noncommutative Graphs, and a Quantum Lovász Number
• On the Polynomial of a Graph
• A compositional approach to quantum functions
• Quantum Cuntz-Krieger algebras
• The quantum-to-classical graph homomorphism game
• Classification of quantum graphs on M2 and their quantum automorphism groups
• A von Neumann Algebra Approach to Quantum Metrics/Quantum Relations
• Spectral bounds for the quantum chromatic number of quantum graphs
• Quantum graphs: different perspectives, homomorphisms and quantum automorphisms
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