Efficient Exact Algorithms on Planar Graphs: Exploiting Sphere Cut Decompositions

Article Properties
  • Language
    English
  • Publication Date
    2009/03/13
  • Journal
  • Indian UGC (journal)
  • Refrences
    32
  • Citations
    31
  • Frederic Dorn
  • Eelko Penninkx
  • Hans L. Bodlaender
  • Fedor V. Fomin
Cite
Dorn, Frederic, et al. “Efficient Exact Algorithms on Planar Graphs: Exploiting Sphere Cut Decompositions”. Algorithmica, vol. 58, no. 3, 2009, pp. 790-1, https://doi.org/10.1007/s00453-009-9296-1.
Dorn, F., Penninkx, E., Bodlaender, H. L., & Fomin, F. V. (2009). Efficient Exact Algorithms on Planar Graphs: Exploiting Sphere Cut Decompositions. Algorithmica, 58(3), 790-810. https://doi.org/10.1007/s00453-009-9296-1
Dorn, Frederic, Eelko Penninkx, Hans L. Bodlaender, and Fedor V. Fomin. “Efficient Exact Algorithms on Planar Graphs: Exploiting Sphere Cut Decompositions”. Algorithmica 58, no. 3 (2009): 790-810. https://doi.org/10.1007/s00453-009-9296-1.
Dorn F, Penninkx E, Bodlaender HL, Fomin FV. Efficient Exact Algorithms on Planar Graphs: Exploiting Sphere Cut Decompositions. Algorithmica. 2009;58(3):790-81.
Journal Categories
Science
Mathematics
Science
Mathematics
Instruments and machines
Electronic computers
Computer science
Computer software
Technology
Engineering (General)
Civil engineering (General)
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
The Bidimensionality Theory and Its Algorithmic Applications The Computer Journal
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Science (General): Cybernetics: Information theory
  • 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
58 2008
Subexponential parameterized algorithms Computer Science Review
  • Science: Science (General): Cybernetics: Information theory
  • 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
18 2008
New upper bounds on the decomposability of planar graphs

Journal of Graph Theory
  • Science: Mathematics
23 2006
Exact algorithms for the Hamiltonian cycle problem in planar graphs Operations Research Letters
  • Technology: Manufactures: Production management. Operations management
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
13 2006
Subexponential parameterized algorithms on bounded-genus graphs and H -minor-free graphs

Journal of the ACM
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • Science: Science (General): Cybernetics: Information theory
  • 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
109 2005
Citations
Title Journal Journal Categories Citations Publication Date
Correlation Clustering and Two-Edge-Connected Augmentation for Planar Graphs Algorithmica
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
2023
Upward Book Embeddability of st-Graphs: Complexity and Algorithms

Algorithmica
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
2023
Counting Cycles on Planar Graphs in Subexponential Time Algorithmica
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
2023
Parameterized complexity of graph planarity with restricted cyclic orders Journal of Computer and System Sciences
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
  • 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
2023
An ETH-Tight Exact Algorithm for Euclidean TSP SIAM Journal on Computing
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • 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
2023
Citations Analysis
The category Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software 25 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Confronting intractability via parameters and was published in 2011. The most recent citation comes from a 2023 study titled Counting Cycles on Planar Graphs in Subexponential Time. This article reached its peak citation in 2023, with 5 citations. It has been cited in 14 different journals. Among related journals, the Algorithmica cited this research the most, with 8 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year