Families of integral cographs within a triangular array

DOI10.1515/spma-2020-0116zbMath1461.05229arXiv2009.02770OpenAlexW3115677738MaRDI QIDQ2663694

Hsin-Yun Ching, Rigoberto Flórez, Antara Mukherjee

Publication date: 19 April 2021

Published in: Special Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02770

zbMATH Keywords

eigenvalueadjacency matrixintegral graphFibonacci numbercographdeterminant Hosoya triangle

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Graph theory (05C99) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (3)

The geometry of some Fibonacci identities in the Hosoya triangle ⋮ Integral Laplacian graphs with a unique repeated Laplacian eigenvalue. I ⋮ Unnamed Item

Uses Software

• OEIS

Cites Work

• Extrema property of the \(k\)-ranking of directed paths and cycles
• Characteristic polynomial of a generalized complete product of matrices
• Complement reducible graphs
• Laplacian graph eigenvectors
• The rank of a cograph
• Restricted \(r\)-Stirling numbers and their combinatorial applications
• Riordan graphs I: structural properties
• Spectra of graphs resulting from various graph operations and products: a survey
• Riordan graphs. II: Spectral properties
• The Laplacian polynomial of graphs derived from regular graphs and applications
• A survey on integral graphs
• Algebraic Combinatorics
• Matrices in the Hosoya triangle
• Matrix theory. Basic results and techniques
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Families of integral cographs within a triangular array