乐胖代购免代理版

{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,5]],"date-time":"2024-06-05T04:38:41Z","timestamp":1717562321188},"reference-count":33,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2009,11,20]],"date-time":"2009-11-20T00:00:00Z","timestamp":1258675200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"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.<\/jats:p>","DOI":"10.3390\/e11040907","type":"journal-article","created":{"date-parts":[[2009,11,20]],"date-time":"2009-11-20T15:10:17Z","timestamp":1258729817000},"page":"907-916","source":"Crossref","is-referenced-by-count":10,"title":["On the Structural Non-identifiability of Flexible Branched Polymers"],"prefix":"10.3390","volume":"11","author":[{"given":"Koh-hei","family":"Nitta","sequence":"first","affiliation":[{"name":"Division of Natural System, Institute of Science and Engineering, Kanazawa University, Kanazawa 920-1192, Japan"}]}],"member":"1968","published-online":{"date-parts":[[2009,11,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/3-540-49780-3_3","article-title":"Solution properties of branched macromolecules","volume":"143","author":"Burchard","year":"1999","journal-title":"Adv. Polym. Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/3-540-07252-7_1","article-title":"Long chain branching in polymers","volume":"18","author":"Small","year":"1975","journal-title":"Adv. Polym. Sci."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"4222","DOI":"10.1063\/1.467472","article-title":"A topological approach to statistics and dynamics of chain molecules","volume":"101","author":"Nitta","year":"1994","journal-title":"J. Chem. Phys."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Grosberg, A.Y., and Khokhlov, A.R. (1994). Statistical physics of macromolecules, AIP.","DOI":"10.1063\/1.4823390"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1063\/1.1742462","article-title":"Dynamics of polymer molecules in dilute solution: Viscoelasticity, flow birefringence and dielectric loss","volume":"24","author":"Zimm","year":"1956","journal-title":"J. Chem. Phys."},{"key":"ref_6","first-page":"1","article-title":"Functional integrals and polymer statistics","volume":"22","author":"Freed","year":"1972","journal-title":"Adv. Chem. Phys."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1272","DOI":"10.1063\/1.1699180","article-title":"A theory of the linear viscoelastic properties of dilute solutions of coiling polymers","volume":"21","author":"Rouse","year":"1953","journal-title":"J. Chem. Phys."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1063\/1.1740133","article-title":"The viscoelastic properties of plastics","volume":"22","author":"Bueche","year":"1954","journal-title":"J. Chem. Phys."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1063\/1.1743358","article-title":"Viscosity theory of branched and cross-linked polymers","volume":"26","author":"Ham","year":"1957","journal-title":"J. Chem. Phys."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1021\/ma60073a001","article-title":"Configuration statistics of Gaussian molecules","volume":"13","author":"Eichinger","year":"1980","journal-title":"Macromolecules"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"5942","DOI":"10.1021\/ma00048a013","article-title":"Reduced description of the local dynamics of star polymers","volume":"25","author":"Guenza","year":"1992","journal-title":"Macromolecules"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2934","DOI":"10.1063\/1.1726377","article-title":"Unperturbed dimension and translational friction of branched polymers","volume":"41","author":"Kurata","year":"1964","journal-title":"J. Chem. Phys."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"4111","DOI":"10.1063\/1.432866","article-title":"Graph theory and the statistics and dynamics of polymer chains","volume":"65","author":"Forsman","year":"1976","journal-title":"J. Chem. Phys."},{"key":"ref_14","first-page":"127","article-title":"Molecules as graphs","volume":"54","author":"Eichinger","year":"1976","journal-title":"J. Polym. Sci. Simp."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1002\/(SICI)1521-3919(19980901)7:5<521::AID-MATS521>3.0.CO;2-M","article-title":"Graph theory of viscoelastic and configurational properties of Gaussian chains","volume":"7","author":"Yang","year":"1998","journal-title":"Macromol. Theory Simul."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1023\/A:1019176215208","article-title":"A Graph-theoretical Approach to Statistics and Dynamics of Tree-like Molecules","volume":"25","author":"Nitta","year":"1999","journal-title":"J. Math. Chem."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1274","DOI":"10.1021\/ci010021s","article-title":"Topological analysis of long-chain branching patterns in polyolefins reciprocal distance matrix","volume":"41","author":"Bonchev","year":"2001","journal-title":"J. Chem. Inf. Comput. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"837","DOI":"10.1063\/1.471892","article-title":"Application of graph theory to the statistical thermodynamics of lattice polymers. I. Elements of theory and test for dimers","volume":"105","author":"Brazhinik","year":"1996","journal-title":"J. Chem. Phys."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1137\/1004057","article-title":"The determinant of the adjacency matrix of a graph","volume":"4","author":"Harary","year":"1962","journal-title":"SIAM"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/j.laa.2004.02.038","article-title":"The energy of a graph","volume":"387","author":"Balakrishnan","year":"2004","journal-title":"Linear. Algebr. Appl."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1515\/zna-2001-0313","article-title":"On statistics of graph energy","volume":"56a","author":"Graovac","year":"2001","journal-title":"Z Naturforsh"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1002\/qua.560210306","article-title":"Spectra of chemical trees","volume":"21","author":"Balakrishnan","year":"1982","journal-title":"Int. J. Quantum Chem."},{"key":"ref_23","first-page":"63","article-title":"Spekltren endlichen grafen","volume":"21","author":"Collatz","year":"1957","journal-title":"Abh. Math. Sem. Univ. Hamburg"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1021\/c160043a020","article-title":"The characteristic polynomial does not uniquely determined the topology of a molecule","volume":"11","author":"Balaban","year":"1971","journal-title":"J. Chem. Doc."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"6506","DOI":"10.1021\/ja00488a043","article-title":"Spectral differences between isospectral molecules","volume":"27","author":"Heilbronner","year":"1978","journal-title":"J. Am. Chem. Soc."},{"key":"ref_26","unstructured":"Newman, M.W. (2000). The Laplacian spectrum of graphs. [Masters Thesis, University of Manitoba]."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/S0021-9800(66)80008-X","article-title":"On hearing the shape of a drum","volume":"1","author":"Fisher","year":"1966","journal-title":"J. Comb. Theory"},{"key":"ref_28","first-page":"497","article-title":"\u00dcber die aufl\u00f6sung der gleichungen, auf welche man bei der untersuchung der linearen verteilung galvanischer str\u00f6me gef\u00fchrt wird","volume":"72","author":"Kirchhoff","year":"1984","journal-title":"Ann. Phys. Chem."},{"key":"ref_29","first-page":"219","article-title":"On the spectral characteristics of trees","volume":"3","author":"McKay","year":"1977","journal-title":"Ars Combinatoria"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/S0024-3795(97)10080-5","article-title":"Large families of Laplacian isospectral graphs","volume":"278","author":"Merris","year":"1998","journal-title":"Linear Multilinear Algebra"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/S0024-3795(03)00483-X","article-title":"Which graphs are determined by their spectrum?","volume":"373","author":"Haemers","year":"2003","journal-title":"Linear Algebra Appl."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"654","DOI":"10.1016\/j.laa.2006.11.028","article-title":"Starlike trees are determined by their Laplacian spectrum","volume":"422","author":"Omidi","year":"2007","journal-title":"Linear Algebra Appl."},{"key":"ref_33","first-page":"91","article-title":"The spectrum of a graph","volume":"VII","author":"Little","year":"1977","journal-title":"Combinatorial Mathematics V."}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/11\/4\/907\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T02:42:18Z","timestamp":1716950538000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/11\/4\/907"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,11,20]]},"references-count":33,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2009,12]]}},"alternative-id":["e11040907"],"URL":"https:\/\/doi.org\/10.3390\/e11040907","relation":{},"ISSN":["1099-4300"],"issn-type":[{"value":"1099-4300","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,11,20]]}}}