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Entropy 2009, 11(4), 907-916; doi:10.3390/e11040907
Article

On the Structural Non-identifiability of Flexible Branched Polymers

Received: 21 October 2009; Accepted: 18 November 2009 / Published: 20 November 2009
(This article belongs to the Special Issue Entropies of Polymers)
Download PDF [235 KB, uploaded 20 November 2009]
Abstract: The dynamics and statics of flexible polymer chains are based on their conformational entropy, resulting in the properties of isolated polymer chains with any branching potentially being characterized by Gaussian chain models. According to the graph-theoretical approach, the dynamics and statics of Gaussian chains can be expressed as a set of eigenvalues of their Laplacian matrix. As such, the existence of Laplacian cospectral trees allows the structural nonidentifiability of any branched flexible polymer.
Keywords: Gaussian chain; branched polymer; graph theory; tree; cospectral graph; Laplacian matrix; Rouse matrix; Zimm matrix Gaussian chain; branched polymer; graph theory; tree; cospectral graph; Laplacian matrix; Rouse matrix; Zimm matrix
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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MDPI and ACS Style

Nitta, K.-H. On the Structural Non-identifiability of Flexible Branched Polymers. Entropy 2009, 11, 907-916.

AMA Style

Nitta K-H. On the Structural Non-identifiability of Flexible Branched Polymers. Entropy. 2009; 11(4):907-916.

Chicago/Turabian Style

Nitta, Koh-hei. 2009. "On the Structural Non-identifiability of Flexible Branched Polymers." Entropy 11, no. 4: 907-916.


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