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Open AccessArticle

On the Structural Non-identifiability of Flexible Branched Polymers

Division of Natural System, Institute of Science and Engineering, Kanazawa University, Kanazawa 920-1192, Japan
Entropy 2009, 11(4), 907-916; https://doi.org/10.3390/e11040907
Received: 21 October 2009 / Accepted: 18 November 2009 / Published: 20 November 2009
(This article belongs to the Special Issue Entropies of Polymers)
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. View Full-Text
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
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Nitta, K.-H. On the Structural Non-identifiability of Flexible Branched Polymers. Entropy 2009, 11, 907-916.

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