Spectra of cycle and path families of oriented hypergraphs

DOI10.1016/j.laa.2019.05.008zbMath1419.05122OpenAlexW2944165815WikidataQ127903052 ScholiaQ127903052MaRDI QIDQ2321360

Luke Duttweiler, Nathan Reff

Publication date: 29 August 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.05.008

zbMATH Keywords

signed graphoriented hypergraphhypergraph adjacency matrixhypergraph Laplacian matrixhypergraph cycleshypergraph paths

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Signed and weighted graphs (05C22)

Related Items (11)

Oriented hypergraphs: balanceability ⋮ Graphs, Simplicial Complexes and Hypergraphs: Spectral Theory and Topology ⋮ Adjacency energy of hypergraphs ⋮ The signless Laplacian matrix of hypergraphs ⋮ Unnamed Item ⋮ Joins of hypergraphs and their spectra ⋮ Coloring the normalized Laplacian for oriented hypergraphs ⋮ Principal eigenvector of the signless Laplacian matrix ⋮ Spectral theory of Laplace operators on oriented hypergraphs ⋮ Sharp bounds for the largest eigenvalue ⋮ Incidence hypergraphs: injectivity, uniformity, and matrix-tree theorems

Cites Work

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• Oriented hypergraphs: introduction and balance
• Spectra of uniform hypergraphs
• An oriented hypergraphic approach to algebraic graph theory
• Spectra of graphs
• A characterization of oriented hypergraphic balance via signed weak walks
• Loose Hamilton cycles in 3-uniform hypergraphs of high minimum degree
• Orientation of signed graphs
• A characterization of signed hypergraphs and its applications to VLSI via minimization and logic synthesis
• A characterization of oriented hypergraphic Laplacian and adjacency matrix coefficients
• Largest eigenvalue of a unicyclic mixed graphs
• Directed hypergraphs and applications
• On the second eigenvalue of hypergraphs
• Spectra of hypergraphs and applications
• A connection between Hadamard matrices, oriented hypergraphs and signed graphs
• Intersection Graphs of Oriented Hypergraphs and Their Matrices
• High-Ordered Random Walks and Generalized Laplacians on Hypergraphs
• On Adjacency Matrices and Descriptors of Signed Cycle Graphs
• A Dirac-Type Theorem for 3-Uniform Hypergraphs
• Monochromatic Hamiltoniant-tight Berge-cycles in hypergraphs
• Hamiltonian chains in hypergraphs
• On the Laplacian Eigenvalues and Metric Parameters of Hypergraphs
• Spectral Extremal Problems for Hypergraphs
• Spectral properties of oriented hypergraphs

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