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https://doi.org/10.5562/cca3008

Euler Characteristic of Polyhedral Graphs

Atena Pîrvan-Moldovan ; Department of Chemistry, Faculty of Chemistry and Chemical Engineering, Babes-Bolyai University, 400028 Cluj, Romania
Mircea V. Diudea ; Department of Chemistry, Faculty of Chemistry and Chemical Engineering, Babes-Bolyai University, 400028 Cluj, Romania

Puni tekst: engleski, pdf (3 MB) str. 471-479 preuzimanja: 1.059* citiraj
APA 6th Edition
Pîrvan-Moldovan, A. i Diudea, M.V. (2016). Euler Characteristic of Polyhedral Graphs. Croatica Chemica Acta, 89 (4), 471-479. https://doi.org/10.5562/cca3008
MLA 8th Edition
Pîrvan-Moldovan, Atena i Mircea V. Diudea. "Euler Characteristic of Polyhedral Graphs." Croatica Chemica Acta, vol. 89, br. 4, 2016, str. 471-479. https://doi.org/10.5562/cca3008. Citirano 22.09.2021.
Chicago 17th Edition
Pîrvan-Moldovan, Atena i Mircea V. Diudea. "Euler Characteristic of Polyhedral Graphs." Croatica Chemica Acta 89, br. 4 (2016): 471-479. https://doi.org/10.5562/cca3008
Harvard
Pîrvan-Moldovan, A., i Diudea, M.V. (2016). 'Euler Characteristic of Polyhedral Graphs', Croatica Chemica Acta, 89(4), str. 471-479. https://doi.org/10.5562/cca3008
Vancouver
Pîrvan-Moldovan A, Diudea MV. Euler Characteristic of Polyhedral Graphs. Croatica Chemica Acta [Internet]. 2016 [pristupljeno 22.09.2021.];89(4):471-479. https://doi.org/10.5562/cca3008
IEEE
A. Pîrvan-Moldovan i M.V. Diudea, "Euler Characteristic of Polyhedral Graphs", Croatica Chemica Acta, vol.89, br. 4, str. 471-479, 2016. [Online]. https://doi.org/10.5562/cca3008

Sažetak
Euler characteristic is a topological invariant, a number that describes the shape or structure of a topological space, irrespective of the way it is bent. Many operations on topological spaces may be expressed by means of Euler characteristic. Counting polyhedral graph figures is directly related to Euler characteristic. This paper illustrates the Euler characteristic involvement in figure counting of polyhedral graphs designed by operations on maps. This number is also calculated in truncated cubic network and hypercube. Spongy hypercubes are built up by embedding the hypercube in polyhedral graphs, of which figures are calculated combinatorially by a formula that accounts for their spongy character. Euler formula can be useful in chemistry and crystallography to check the consistency of an assumed structure.

Creative Commons License This work is licensed under a Creative Commons Attribution 4.0 International License.

Ključne riječi
Euler characteristic; polyhedral graph; hypercube; map operation

Hrčak ID: 180000

URI
https://hrcak.srce.hr/180000

Posjeta: 1.312 *