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Original scientific paper
https://doi.org/10.5562/cca3036

Chemistry-Relevant Isospectral Graphs. Acyclic Conjugated Polyenes

Haruo Hosoya ; Ochanomizu University, Bunkyo-ku, Tokyo 112-8610, Japan

Fulltext: english, pdf (1 MB) pages 455-461 downloads: 555* cite
APA 6th Edition
Hosoya, H. (2016). Chemistry-Relevant Isospectral Graphs. Acyclic Conjugated Polyenes. Croatica Chemica Acta, 89 (4), 455-461. https://doi.org/10.5562/cca3036
MLA 8th Edition
Hosoya, Haruo. "Chemistry-Relevant Isospectral Graphs. Acyclic Conjugated Polyenes." Croatica Chemica Acta, vol. 89, no. 4, 2016, pp. 455-461. https://doi.org/10.5562/cca3036. Accessed 21 Oct. 2021.
Chicago 17th Edition
Hosoya, Haruo. "Chemistry-Relevant Isospectral Graphs. Acyclic Conjugated Polyenes." Croatica Chemica Acta 89, no. 4 (2016): 455-461. https://doi.org/10.5562/cca3036
Harvard
Hosoya, H. (2016). 'Chemistry-Relevant Isospectral Graphs. Acyclic Conjugated Polyenes', Croatica Chemica Acta, 89(4), pp. 455-461. https://doi.org/10.5562/cca3036
Vancouver
Hosoya H. Chemistry-Relevant Isospectral Graphs. Acyclic Conjugated Polyenes. Croatica Chemica Acta [Internet]. 2016 [cited 2021 October 21];89(4):455-461. https://doi.org/10.5562/cca3036
IEEE
H. Hosoya, "Chemistry-Relevant Isospectral Graphs. Acyclic Conjugated Polyenes", Croatica Chemica Acta, vol.89, no. 4, pp. 455-461, 2016. [Online]. https://doi.org/10.5562/cca3036

Abstracts
By using the topological index Z and Z-counting polynomial proposed by the present author isospectral (IS) pairs of acyclic conjugated polyenes (C2nH2n+2) were studied. Besides the hitherto known smallest pair of n = 6, four and twenty seven pairs of n = 7 and 8, respectively, were first reported. Inspection of these results revealed several new features of IS tree graphs, i.e., appearance of two pairs of endospectral vertices in a tree graph and existence of several families of IS pair graphs whose Z-indices systematically grow up to infinity. Further several IS pairs were found to be closely related with each other topologically and called “intrinsic” IS pairs. Important role of the Z-index for analyzing the IS graphs is demonstrated.

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

Keywords
isospectral tree graph; cospectral tree graph; acyclic conjugated polyene; topological index Z; Z-index; graph theory

Hrčak ID: 180733

URI
https://hrcak.srce.hr/180733

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