Open problems on graph eigenvalues studied with AutoGraphiX

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Aouchiche, Mustapha, et al. “Open Problems on Graph Eigenvalues Studied With AutoGraphiX”. EURO Journal on Computational Optimization, vol. 1, no. 1-2, 2013, pp. 181-99, https://doi.org/10.1007/s13675-012-0001-9.
Aouchiche, M., Caporossi, G., & Hansen, P. (2013). Open problems on graph eigenvalues studied with AutoGraphiX. EURO Journal on Computational Optimization, 1(1-2), 181-199. https://doi.org/10.1007/s13675-012-0001-9
Aouchiche M, Caporossi G, Hansen P. Open problems on graph eigenvalues studied with AutoGraphiX. EURO Journal on Computational Optimization. 2013;1(1-2):181-99.
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Refrences
Title Journal Journal Categories Citations Publication Date
A Sharp Upper Bound of the Spectral Radius of Graphs Journal of Combinatorial Theory, Series B
  • Science: Mathematics
 89 2001
LEDA: a platform for combinatorial and geometric computing

 Communications of the ACM
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 92 1995
Algorithms for drawing graphs: an annotated bibliography 1994
Solution to a conjecture on the maximal energy of bipartite bicyclic graphs Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 14 2011
Unicyclic graphs with large energy Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 6 2011
Refrences Analysis
Category Category Repetition
Science: Mathematics28
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods16
Technology: Engineering (General). Civil engineering (General)7
Science: Mathematics: Instruments and machines: Electronic computers. Computer science5
Science: Chemistry5
Science: Chemistry: Physical and theoretical chemistry4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware3
Technology: Manufactures: Production management. Operations management3
Technology: Technology (General): Industrial engineering. Management engineering2
Science: Physics: Atomic physics. Constitution and properties of matter2
Science: Chemistry: General. Including alchemy2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Medicine: Therapeutics. Pharmacology1
Science: Science (General): Cybernetics: Information theory1
Science: Mathematics: Probabilities. Mathematical statistics1
The category Science: Mathematics 28 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
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
Welfare targeting in networks Journal of Mathematical Economics
  • Social Sciences: Economic theory. Demography: Economics as a science
  • Social Sciences: Statistics
  • Science: Mathematics
  • Social Sciences: Commerce: Business
  • Social Sciences: Economic theory. Demography: Economics as a science
 1 2021
On some properties of graph irregularity indices with a particular regard to the σ-index Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 7 2019
Nordhaus–Gaddum and other bounds for the sum of squares of the positive eigenvalues of a graph Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2 2017
Citations Analysis
Category Category Repetition
Science: Mathematics4
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods3
Technology: Engineering (General). Civil engineering (General)1
Social Sciences: Economic theory. Demography: Economics as a science1
Social Sciences: Statistics1
Social Sciences: Commerce: Business1
The category Science: Mathematics 4 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Nordhaus–Gaddum and other bounds for the sum of squares of the positive eigenvalues of a graph and was published in 2017. 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 2024, with 1 citations. It has been cited in 4 different journals. Among related journals, the SIAM Journal on Discrete Mathematics cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year