Operations Research Transactions >
2023 , Vol. 27 >Issue 4: 33 - 60
DOI: https://doi.org/10.15960/j.cnki.issn.1007-6093.2023.04.003
Unsolved problems in spectral graph theory
Received date: 2023-05-08
Online published: 2023-12-07
Spectral graph theory is a captivating area of graph theory that employs the eigenvalues and eigenvectors of matrices associated with graphs to study them. In this paper, we present a collection of 20 topics in spectral graph theory, covering a range of open problems and conjectures. Our focus is primarily on the adjacency matrix of graphs, and for each topic, we provide a brief historical overview.
Key words: eigenvalues; spectral radius; adjacency matrix; spectral graph theory
Lele LIU, Bo NING . Unsolved problems in spectral graph theory[J]. Operations Research Transactions, 2023 , 27(4) : 33 -60 . DOI: 10.15960/j.cnki.issn.1007-6093.2023.04.003
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