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Enumeration of generalized fusenes

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Abstract
Generalized fusenes are structures that are similar to the hexagon based benzenoids and fusenes, except that also non-hexagonal faces are allowed. In this paper, a fast algorithm to enumerate generalized fusenes with given faces is given. The algorithm is fast enough to generate millions of non-isomorphic structures per second and is based on a two-step approach using the canonical construction path method and the homomorphism principle.
Keywords
hydrocarbons, graphs, benzenoids, fusenes

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Citation

Please use this url to cite or link to this publication:

MLA
Brinkmann, Gunnar, and Pieter Goetschalckx. “Enumeration of Generalized Fusenes.” MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, vol. 74, no. 3, 2015, pp. 505–20.
APA
Brinkmann, G., & Goetschalckx, P. (2015). Enumeration of generalized fusenes. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 74(3), 505–520.
Chicago author-date
Brinkmann, Gunnar, and Pieter Goetschalckx. 2015. “Enumeration of Generalized Fusenes.” MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY 74 (3): 505–20.
Chicago author-date (all authors)
Brinkmann, Gunnar, and Pieter Goetschalckx. 2015. “Enumeration of Generalized Fusenes.” MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY 74 (3): 505–520.
Vancouver
1.
Brinkmann G, Goetschalckx P. Enumeration of generalized fusenes. MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY. 2015;74(3):505–20.
IEEE
[1]
G. Brinkmann and P. Goetschalckx, “Enumeration of generalized fusenes,” MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, vol. 74, no. 3, pp. 505–520, 2015.
@article{7028522,
  abstract     = {{Generalized fusenes are structures that are similar to the hexagon based benzenoids and fusenes, except that also non-hexagonal faces are allowed. In this paper, a fast algorithm to enumerate generalized fusenes with given faces is given. The algorithm is fast enough to generate millions of non-isomorphic structures per second and is based on a two-step approach using the canonical construction path method and the homomorphism principle.}},
  author       = {{Brinkmann, Gunnar and Goetschalckx, Pieter}},
  issn         = {{0340-6253}},
  journal      = {{MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY}},
  keywords     = {{hydrocarbons,graphs,benzenoids,fusenes}},
  language     = {{eng}},
  number       = {{3}},
  pages        = {{505--520}},
  title        = {{Enumeration of generalized fusenes}},
  url          = {{http://match.pmf.kg.ac.rs/electronic_versions/Match74/n3/match74n3_505-520.pdf}},
  volume       = {{74}},
  year         = {{2015}},
}

Web of Science
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