105
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Characteristic Polynomials and Spectra of Some Block Circulant Graphs

&
Pages 83-96 | Received 26 Mar 2012, Accepted 06 Nov 2012, Published online: 27 Mar 2013

REFERENCES

  • Ceulemans , A. , Chibobotaru , L. F. , Bovin , S. A. and Fowler , P. W. (2000) . The electrnic structrure of polyhex carbon tori . J. Chem. Phys. , 112 : 4271 – 4278 .
  • John , P. E. , Sachs , H. and Fowler , P. W. (2001) . (3,6)-Cages . Hexagonal toroidal cages and their spectra. DIMACS Series in Discrete Math. Theoret. Comput. Sci , 51 : 139 – 174 .
  • He , J. H. and Zhang , H. P. (2008) . The spectra of some lattice graphs on surfaces Doctor Thesis, School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, China
  • Hückel , E. (1931) . Quantentheoretische Beitrage Zum Benzolproblem . Z Phys. , 70 : 204 – 286 .
  • John , P. E. and Sachs , H. (2008) . Spectra of toroidal graphs . Discrete Mathematics , doi:10.1016/j.disc 2008.06.034
  • Kirby , E. C. , Mallion , R. B. and Pollak , P. (1993) . Toroidal polyhexes . J. Chem. Soc Faraday Trans. , 89 : 1945 – 1953 .
  • Kirby , E. C. and Pollak , P. (1998) . How to enumerate the connectional isomers of a toroidal polyhex fullerene . J. Chem. Inf. Comput. Sci. , 38 : 66 – 70 .
  • Klein , D. J. (1994) . Elemental benzenoids(1994) . J. Chem. Inf. Comput. Sci. , 38 : 453 – 459 .
  • Klein , D. J. and Zhu , H. (1996) . Resonance in elemental benezoids . Discrete Appl. Math. , 67 : 157 – 173 .
  • Schmalz , T. G. , Seitz , W. A. and Klein , D. J. (1988) . Elemental carbon cages . J. Am Chem. Soc. , 110 : 1113 – 1127 .
  • John , P. E. (1998) . Kekul count in toroidal hexagonal carbon cages . Croat. Chem. , Acta71 ( 3 ) : 435 – 447 .
  • Maruěsiěc , D. and Pisanski , T. (2000) . Symmetries of hexagonal molecular graphs on the torus . Croat. Chem. , Acta 73 ( no. 4 ) : 969 – 981 .
  • Salinas , S. R. and Nagle , J. F. (1974) . Theory of the phase transition in the layered hydrogenboded SnCl 2.2H 2 O crystal . Phys. Rev. B, , 9 : 4920 – 4931 .
  • Yan , W. G. , Yeh , Y. N. and Zhang , F. J. (1974) . Matching and entropies of cylinders . arXiv: math/0611132v2 [math. CO]
  • Zhang , F. J. and Wang , L. S. (1974) . k-resonant of open-ended carbon nanotubes . J. Mathemat. Chem. , 35 ( 2 ) : 87 – 103 .
  • Zhang , X. D. (2004) . Matrix analysis and applications , Springer, Beijing, China : Tsinghua University Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.