A survey of automated conjectures in spectral graph theory

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Cite
Aouchiche, M., and P. Hansen. “A Survey of Automated Conjectures in Spectral Graph Theory”. Linear Algebra and Its Applications, vol. 432, no. 9, 2010, pp. 2293-22, https://doi.org/10.1016/j.laa.2009.06.015.
Aouchiche, M., & Hansen, P. (2010). A survey of automated conjectures in spectral graph theory. Linear Algebra and Its Applications, 432(9), 2293-2322. https://doi.org/10.1016/j.laa.2009.06.015
Aouchiche M, Hansen P. A survey of automated conjectures in spectral graph theory. Linear Algebra and its Applications. 2010;432(9):2293-322.
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Refrences
Title Journal Journal Categories Citations Publication Date
Eigenvalue bounds for the signless Laplacian 2007
Upper bounds on algebraic connectivity via convex optimization Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
15 2006
Limit points of eigenvalues of (di)graphs Czechoslovak Mathematical Journal
  • Science: Mathematics
7 2006
Variable neighborhood search 1997
A compilation of relations between graph invariants—supplement I Networks
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Technology: Manufactures: Production management. Operations management
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
12 1991
Citations
Title Journal Journal Categories Citations Publication Date
Graph Limits and Spectral Extremal Problems for Graphs SIAM Journal on Discrete Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
2024
About the type of broom trees Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Proofs of the AutoGraphiX conjectures on the domination number, average eccentricity and proximity Discrete Applied Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Technology: Engineering (General). Civil engineering (General)
2 2021
The Q-generating Function for Graphs with Application Bulletin of the Malaysian Mathematical Sciences Society
  • Science: Mathematics
2020
On spectral analysis of directed signed graphs International Journal of Data Science and Analytics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Science (General): Cybernetics: Information theory
5 2018
Citations Analysis
The category Science: Mathematics 20 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Resolution of AutoGraphiX conjectures relating the index and matching number of graphs and was published in 2010. The most recent citation comes from a 2024 study titled Graph Limits and Spectral Extremal Problems for Graphs. This article reached its peak citation in 2010, with 4 citations. It has been cited in 12 different journals. Among related journals, the Linear Algebra and its Applications cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year