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

On the Structural Non-identifiability of Flexible Branched Polymers

Koh-hei Nittaemail
Division of Natural System, Institute of Science and Engineering, Kanazawa University, Kanazawa 920-1192, Japan
Received: 21 October 2009 / Accepted: 18 November 2009 / Published: 20 November 2009
(This article belongs to the Special Issue Entropies of Polymers)
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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

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Cite This Article

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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