{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,21]],"date-time":"2026-02-21T02:26:01Z","timestamp":1771640761271,"version":"3.50.1"},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2013,3,16]],"date-time":"2013-03-16T00:00:00Z","timestamp":1363392000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithmica"],"published-print":{"date-parts":[[2013,8]]},"DOI":"10.1007\/s00453-013-9766-3","type":"journal-article","created":{"date-parts":[[2013,3,16]],"date-time":"2013-03-16T00:26:52Z","timestamp":1363393612000},"page":"804-828","source":"Crossref","is-referenced-by-count":9,"title":["Inequalities for the Number of Walks in Graphs"],"prefix":"10.1007","volume":"66","author":[{"given":"Hanjo","family":"T\u00e4ubig","sequence":"first","affiliation":[]},{"given":"Jeremias","family":"Weihmann","sequence":"additional","affiliation":[]},{"given":"Sven","family":"Kosub","sequence":"additional","affiliation":[]},{"given":"Raymond","family":"Hemmecke","sequence":"additional","affiliation":[]},{"given":"Ernst W.","family":"Mayr","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,3,16]]},"reference":[{"issue":"1\u20132","key":"9766_CR1","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/BF01902206","volume":"32","author":"R. Ahlswede","year":"1978","unstructured":"Ahlswede, R., Katona, G.O.H.: Graphs with maximal number of adjacent pairs of edges. Acta Math. Acad. Sci. Hung. 32(1\u20132), 97\u2013120 (1978)","journal-title":"Acta Math. Acad. Sci. Hung."},{"issue":"1","key":"9766_CR2","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1007\/BF01277956","volume":"5","author":"N. Alon","year":"1995","unstructured":"Alon, N., Feige, U., Wigderson, A., Zuckerman, D.: Derandomized graph products. Comput. Complex. 5(1), 60\u201375 (1995)","journal-title":"Comput. Complex."},{"issue":"1","key":"9766_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0022-247X(66)90056-4","volume":"14","author":"G.R. Blakley","year":"1966","unstructured":"Blakley, G.R., Dixon, R.D.: H\u00f6lder type inequalities in cones. J. Math. Anal. Appl. 14(1), 1\u20134 (1966)","journal-title":"J. Math. Anal. Appl."},{"issue":"6","key":"9766_CR4","first-page":"1244","volume":"16","author":"G.R. Blakley","year":"1965","unstructured":"Blakley, G.R., Roy, P.: A H\u00f6lder type inequality for symmetric matrices with nonnegative entries. Proc. Am. Math. Soc. 16(6), 1244\u20131245 (1965)","journal-title":"Proc. Am. Math. Soc."},{"issue":"4","key":"9766_CR5","doi-asserted-by":"crossref","first-page":"13:1","DOI":"10.1145\/1284680.1284681","volume":"10","author":"D. Chakrabarti","year":"2008","unstructured":"Chakrabarti, D., Wang, Y., Wang, C., Leskovec, J., Faloutsos, C.: Epidemic thresholds in real networks. ACM Trans. Inf. Syst. Secur. 10(4), 13:1\u201313:26 (2008)","journal-title":"ACM Trans. Inf. Syst. Secur."},{"key":"9766_CR6","series-title":"Regional Conference Series in Mathematics","volume-title":"Spectral Graph Theory","author":"F.R.K. Chung","year":"1997","unstructured":"Chung, F.R.K.: Spectral Graph Theory. Regional Conference Series in Mathematics, vol.\u00a092. Am. Math. Soc., Providence (1997)"},{"key":"9766_CR7","doi-asserted-by":"crossref","first-page":"357","DOI":"10.1007\/978-0-8176-4789-6_14","volume-title":"Structural Analysis of Complex Networks","author":"S.M. Cioab\u0103","year":"2011","unstructured":"Cioab\u0103, S.M.: Some applications of eigenvalues of graphs. In: Dehmer, M. (ed.) Structural Analysis of Complex Networks, pp.\u00a0357\u2013379. Birkh\u00e4user, Basel (2011), Chap.\u00a014"},{"issue":"1","key":"9766_CR8","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1007\/BF02941924","volume":"21","author":"L. Collatz","year":"1957","unstructured":"Collatz, L., Sinogowitz, U.: Spektren endlicher Grafen. Abh. Math. Semin. Univ. Hamb. 21(1), 63\u201377 (1957)","journal-title":"Abh. Math. Semin. Univ. Hamb."},{"issue":"322","key":"9766_CR9","first-page":"27","volume":"320\u2013328","author":"D.M. Cvetkovi\u0107","year":"1970","unstructured":"Cvetkovi\u0107, D.M.: The generating function for variations with restrictions and paths of the graph and self-complementary graphs. Univ. Beog., Publ. Elektrotehn. Fak., Ser. Mat. Fiz. 320\u2013328(322), 27\u201334 (1970)","journal-title":"Univ. Beog., Publ. Elektrotehn. Fak., Ser. Mat. Fiz."},{"issue":"354","key":"9766_CR10","first-page":"1","volume":"354\u2013456","author":"D.M. Cvetkovi\u0107","year":"1971","unstructured":"Cvetkovi\u0107, D.M.: Graphs and their spectra. Univ. Beog., Publ. Elektrotehn. Fak., Ser. Mat. Fiz. 354\u2013456(354), 1\u201350 (1971)","journal-title":"Univ. Beog., Publ. Elektrotehn. Fak., Ser. Mat. Fiz."},{"key":"9766_CR11","series-title":"Zbornik Radova","first-page":"7","volume-title":"Applications of Graph Spectra","author":"D.M. Cvetkovi\u0107","year":"2009","unstructured":"Cvetkovi\u0107, D.M.: Applications of graph spectra: An introduction to the literature. In: Applications of Graph Spectra. Zbornik Radova, vol.\u00a013(21), pp.\u00a07\u201331. Mathematical Institute SANU, Belgrade (2009)"},{"key":"9766_CR12","series-title":"Annals of Discrete Mathematics","volume-title":"Recent Results in the Theory of Graph Spectra","author":"D.M. Cvetkovi\u0107","year":"1988","unstructured":"Cvetkovi\u0107, D.M., Doob, M., Gutman, I., Torga\u0161ev, A.: Recent Results in the Theory of Graph Spectra. Annals of Discrete Mathematics, vol.\u00a036. North-Holland, Amsterdam (1988)"},{"key":"9766_CR13","volume-title":"Spectra of Graphs\u2014Theory and Applications","author":"D.M. Cvetkovi\u0107","year":"1979","unstructured":"Cvetkovi\u0107, D.M., Doob, M., Sachs, H.: Spectra of Graphs\u2014Theory and Applications. Deutscher Verlag der Wissenschaften, Berlin (1979)"},{"issue":"1","key":"9766_CR14","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1080\/03081089008818026","volume":"28","author":"D.M. Cvetkovi\u0107","year":"1990","unstructured":"Cvetkovi\u0107, D.M., Rowlinson, P.: The largest eigenvalue of a graph: A survey. Linear Multilinear Algebra 28(1), 3\u201333 (1990)","journal-title":"Linear Multilinear Algebra"},{"key":"9766_CR15","series-title":"Encyclopedia of Mathematics and Its Applications","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781139086547","volume-title":"Eigenspaces of Graphs","author":"D.M. Cvetkovi\u0107","year":"1997","unstructured":"Cvetkovi\u0107, D.M., Rowlinson, P., Simi\u0107, S.K.: Eigenspaces of Graphs. Encyclopedia of Mathematics and Its Applications, vol.\u00a066. Cambridge University Press, Cambridge (1997)"},{"key":"9766_CR16","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/S0012-365X(97)00213-6","volume":"185","author":"D. Caen De","year":"1998","unstructured":"De Caen, D.: An upper bound on the sum of squares of degrees in a graph. Discrete Math. 185, 245\u2013248 (1998)","journal-title":"Discrete Math."},{"issue":"5","key":"9766_CR17","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1016\/S0893-9659(03)00085-5","volume":"16","author":"A. Dress","year":"2003","unstructured":"Dress, A., Gutman, I.: The number of walks in a graph. Appl. Math. Lett. 16(5), 797\u2013801 (2003)","journal-title":"Appl. Math. Lett."},{"issue":"3","key":"9766_CR18","doi-asserted-by":"crossref","first-page":"275","DOI":"10.1007\/BF02579234","volume":"2","author":"P. Erd\u0151s","year":"1982","unstructured":"Erd\u0151s, P., Simonovits, M.: Compactness results in extremal graph theory. Combinatorica 2(3), 275\u2013288 (1982)","journal-title":"Combinatorica"},{"issue":"3","key":"9766_CR19","doi-asserted-by":"crossref","first-page":"410","DOI":"10.1007\/s004530010050","volume":"29","author":"U. Feige","year":"2001","unstructured":"Feige, U., Kortsarz, G., Peleg, D.: The dense k-subgraph problem. Algorithmica 29(3), 410\u2013421 (2001)","journal-title":"Algorithmica"},{"issue":"8","key":"9766_CR20","doi-asserted-by":"crossref","first-page":"2613","DOI":"10.1016\/j.disc.2008.03.025","volume":"309","author":"M.\u00c0. Fiol","year":"2009","unstructured":"Fiol, M.\u00c0., Garriga, E.: Number of walks and degree powers in a graph. Discrete Math. 309(8), 2613\u20132614 (2009)","journal-title":"Discrete Math."},{"key":"9766_CR21","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1007\/978-3-642-59448-9_13","volume-title":"Proceedings of the Euroconference Algebraic Combinatorics and Applications (ALCOMA\u201999)","author":"I. Gutman","year":"2001","unstructured":"Gutman, I.: The energy of a graph: Old and new results. In: Proceedings of the Euroconference Algebraic Combinatorics and Applications (ALCOMA\u201999), pp.\u00a0196\u2013211. Springer, Berlin (2001)"},{"issue":"2","key":"9766_CR22","first-page":"165","volume":"80","author":"P. Hansen","year":"2007","unstructured":"Hansen, P., Vuki\u010devi\u0107, D.: Comparing the Zagreb indices. Croat. Chem. Acta 80(2), 165\u2013168 (2007)","journal-title":"Croat. Chem. Acta"},{"issue":"2","key":"9766_CR23","doi-asserted-by":"crossref","first-page":"443","DOI":"10.2140\/pjm.1979.80.443","volume":"80","author":"F. Harary","year":"1979","unstructured":"Harary, F., Schwenk, A.J.: The spectral approach to determining the number of walks in a graph. Pac. J. Math. 80(2), 443\u2013449 (1979)","journal-title":"Pac. J. Math."},{"key":"9766_CR24","doi-asserted-by":"crossref","unstructured":"Hemmecke, R., Kosub, S., Mayr, E.W., T\u00e4ubig, H., Weihmann, J.: Inequalities for the number of walks in trees and general graphs and a generalization of a theorem of Erd\u0151s and Simonovits. Technical Report TUM-I1109, Department of Computer Science, Technische Universit\u00e4t M\u00fcnchen (2011)","DOI":"10.1137\/1.9781611973020.4"},{"key":"9766_CR25","first-page":"26","volume-title":"Proceedings of the 9th Meeting on Analytic Algorithmics and Combinatorics (ANALCO\u201912)","author":"R. Hemmecke","year":"2012","unstructured":"Hemmecke, R., Kosub, S., Mayr, E.W., T\u00e4ubig, H., Weihmann, J.: Inequalities for the number of walks in graphs. In: Proceedings of the 9th Meeting on Analytic Algorithmics and Combinatorics (ANALCO\u201912), pp.\u00a026\u201339. SIAM, Philadelphia (2012)"},{"issue":"1","key":"9766_CR26","doi-asserted-by":"crossref","first-page":"39","DOI":"10.6028\/jres.071B.007","volume":"71","author":"A.J. Hoffman","year":"1967","unstructured":"Hoffman, A.J.: Three observations on nonnegative matrices. J. Res. Natl. Bur. Stand. B, Math. Math. Phys. 71(1), 39\u201341 (1967)","journal-title":"J. Res. Natl. Bur. Stand. B, Math. Math. Phys."},{"key":"9766_CR27","first-page":"79","volume-title":"Graph Theory and Its Applications","author":"A.J. Hoffman","year":"1970","unstructured":"Hoffman, A.J.: On eigenvalues and colorings of graphs. In: Harris, B. (ed.) Graph Theory and Its Applications, pp.\u00a079\u201391. Academic Press, San Diego (1970)"},{"issue":"1","key":"9766_CR28","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1002\/mana.19881390105","volume":"139","author":"M. Hofmeister","year":"1988","unstructured":"Hofmeister, M.: Spectral radius and degree sequence. Math. Nachr. 139(1), 37\u201344 (1988)","journal-title":"Math. Nachr."},{"issue":"1","key":"9766_CR29","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1002\/mana.19941660119","volume":"166","author":"M. Hofmeister","year":"1994","unstructured":"Hofmeister, M.: A note on almost regular graphs. Math. Nachr. 166(1), 259\u2013262 (1994)","journal-title":"Math. Nachr."},{"issue":"2\u20133","key":"9766_CR30","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/j.disc.2005.04.001","volume":"296","author":"Y. Hong","year":"2005","unstructured":"Hong, Y., Zhang, X.D.: Sharp upper and lower bounds for largest eigenvalue of the Laplacian matrices of trees. Discrete Math. 296(2\u20133), 187\u2013197 (2005)","journal-title":"Discrete Math."},{"issue":"2","key":"9766_CR31","first-page":"341","volume":"57","author":"Y. Hou","year":"2007","unstructured":"Hou, Y., Tang, Z., Woo, C.: On the spectral radius, k-degree and the upper bound of energy in a graph. MATCH Commun. Math. Comput. Chem. 57(2), 341\u2013350 (2007)","journal-title":"MATCH Commun. Math. Comput. Chem."},{"issue":"2","key":"9766_CR32","doi-asserted-by":"crossref","first-page":"379","DOI":"10.2298\/AADM0902379S","volume":"3","author":"S. Hu","year":"2009","unstructured":"Hu, S.: A sharp lower bound of the spectral radius of simple graphs. Appl. Anal. Discrete Math. 3(2), 379\u2013385 (2009)","journal-title":"Appl. Anal. Discrete Math."},{"issue":"3","key":"9766_CR33","first-page":"681","volume":"62","author":"A. Ili\u0107","year":"2009","unstructured":"Ili\u0107, A., Stevanovi\u0107, D.: On comparing Zagreb indices. MATCH Commun. Math. Comput. Chem. 62(3), 681\u2013687 (2009)","journal-title":"MATCH Commun. Math. Comput. Chem."},{"key":"9766_CR34","series-title":"LNCS","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1007\/978-3-540-31955-9_6","volume-title":"Network Analysis\u2014Methodological Foundations","author":"S. Kosub","year":"2005","unstructured":"Kosub, S.: Local density. In: Brandes, U., Erlebach, T. (eds.) Network Analysis\u2014Methodological Foundations. LNCS, vol.\u00a03418, pp.\u00a0112\u2013142. Springer, Berlin (2005)"},{"issue":"3","key":"9766_CR35","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1137\/1025084","volume":"25","author":"J.C. Lagarias","year":"1983","unstructured":"Lagarias, J.C., Mazo, J.E., Shepp, L.A., McKay, B.D.: An inequality for walks in a graph. SIAM Rev. 25(3), 403 (1983)","journal-title":"SIAM Rev."},{"issue":"4","key":"9766_CR36","doi-asserted-by":"crossref","first-page":"580","DOI":"10.1137\/1026112","volume":"26","author":"J.C. Lagarias","year":"1984","unstructured":"Lagarias, J.C., Mazo, J.E., Shepp, L.A., McKay, B.D.: An inequality for walks in a graph. SIAM Rev. 26(4), 580\u2013582 (1984)","journal-title":"SIAM Rev."},{"issue":"2","key":"9766_CR37","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1016\/0304-3975(82)90058-5","volume":"19","author":"H.R. Lewis","year":"1982","unstructured":"Lewis, H.R., Papadimitriou, C.H.: Symmetric space-bounded computation. Theor. Comput. Sci. 19(2), 161\u2013187 (1982)","journal-title":"Theor. Comput. Sci."},{"issue":"3","key":"9766_CR38","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1215\/S0012-7094-66-03360-6","volume":"33","author":"D. London","year":"1966","unstructured":"London, D.: Inequalities in quadratic forms. Duke Math. J. 33(3), 511\u2013522 (1966)","journal-title":"Duke Math. J."},{"issue":"3","key":"9766_CR39","doi-asserted-by":"crossref","first-page":"515","DOI":"10.2140\/pjm.1966.16.515","volume":"16","author":"D. London","year":"1966","unstructured":"London, D.: Two inequalities in nonnegative symmetric matrices. Pac. J. Math. 16(3), 515\u2013536 (1966)","journal-title":"Pac. J. Math."},{"issue":"2","key":"9766_CR40","doi-asserted-by":"crossref","first-page":"627","DOI":"10.2140\/pjm.1962.12.627","volume":"12","author":"M. Marcus","year":"1962","unstructured":"Marcus, M., Newman, M.: The sum of the elements of the powers of a matrix. Pac. J. Math. 12(2), 627\u2013635 (1962)","journal-title":"Pac. J. Math."},{"issue":"2","key":"9766_CR41","doi-asserted-by":"crossref","first-page":"640","DOI":"10.1063\/1.1674889","volume":"54","author":"B.J. McClelland","year":"1971","unstructured":"McClelland, B.J.: Properties of the latent roots of a matrix: The estimation of \u03c0-electron energies. J.\u00a0Chem. Phys. 54(2), 640\u2013643 (1971)","journal-title":"J.\u00a0Chem. Phys."},{"issue":"8","key":"9766_CR42","doi-asserted-by":"crossref","first-page":"673","DOI":"10.2307\/2309342","volume":"66","author":"H.P. Mulholland","year":"1959","unstructured":"Mulholland, H.P., Smith, C.A.B.: An inequality arising in genetical theory. Am. Math. Mon. 66(8), 673\u2013683 (1959)","journal-title":"Am. Math. Mon."},{"issue":"2","key":"9766_CR43","doi-asserted-by":"crossref","first-page":"161","DOI":"10.2307\/2308531","volume":"67","author":"H.P. Mulholland","year":"1960","unstructured":"Mulholland, H.P., Smith, C.A.B.: Corrections: An inequality arising in genetical theory. Am. Math. Mon. 67(2), 161 (1960)","journal-title":"Am. Math. Mon."},{"issue":"1","key":"9766_CR44","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/j.laa.2006.02.003","volume":"418","author":"V. Nikiforov","year":"2006","unstructured":"Nikiforov, V.: Walks and the spectral radius of graphs. Linear Algebra Appl. 418(1), 257\u2013268 (2006)","journal-title":"Linear Algebra Appl."},{"issue":"24","key":"9766_CR45","doi-asserted-by":"crossref","first-page":"3187","DOI":"10.1016\/j.disc.2007.03.019","volume":"307","author":"V. Nikiforov","year":"2007","unstructured":"Nikiforov, V.: The sum of the squares of degrees: Sharp asymptotics. Discrete Math. 307(24), 3187\u20133193 (2007)","journal-title":"Discrete Math."},{"key":"9766_CR46","unstructured":"Nosal, E.: Eigenvalues of graphs. Master\u2019s thesis, University of Calgary (1970)"},{"issue":"4","key":"9766_CR47","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1002\/(SICI)1097-0118(199908)31:4<283::AID-JGT3>3.0.CO;2-H","volume":"31","author":"U.N. Peled","year":"1999","unstructured":"Peled, U.N., Petreschi, R., Sterbini, A.: (n,e)-graphs with maximum sum of squares of degrees. J.\u00a0Graph Theory 31(4), 283\u2013295 (1999)","journal-title":"J.\u00a0Graph Theory"},{"key":"9766_CR48","volume-title":"Graph Spectra for Complex Networks","author":"P. Mieghem Van","year":"2011","unstructured":"Van Mieghem, P.: Graph Spectra for Complex Networks. Cambridge University Press, Cambridge (2011)"},{"issue":"3","key":"9766_CR49","first-page":"587","volume":"57","author":"D. Vuki\u010devi\u0107","year":"2007","unstructured":"Vuki\u010devi\u0107, D., Graovac, A.: Comparing Zagreb M 1 and M 2 indices for acyclic molecules. MATCH Commun. Math. Comput. Chem. 57(3), 587\u2013590 (2007)","journal-title":"MATCH Commun. Math. Comput. Chem."},{"issue":"15","key":"9766_CR50","doi-asserted-by":"crossref","first-page":"3407","DOI":"10.1016\/j.disc.2007.06.026","volume":"308","author":"H. Wang","year":"2008","unstructured":"Wang, H.: Extremal trees with given degree sequence for the Randi\u0107 index. Discrete Math. 308(15), 3407\u20133411 (2008)","journal-title":"Discrete Math."},{"key":"9766_CR51","doi-asserted-by":"crossref","first-page":"330","DOI":"10.1112\/jlms\/s1-42.1.330","volume":"42","author":"H.S. Wilf","year":"1967","unstructured":"Wilf, H.S.: The eigenvalues of a graph and its chromatic number. J. Lond. Math. Soc. 42, 330\u2013332 (1967)","journal-title":"J. Lond. Math. Soc."},{"issue":"1","key":"9766_CR52","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/0095-8956(86)90069-9","volume":"40","author":"H.S. Wilf","year":"1986","unstructured":"Wilf, H.S.: Spectral bounds for the clique and independence numbers of graphs. J. Comb. Theory, Ser. B 40(1), 113\u2013117 (1986)","journal-title":"J. Comb. Theory, Ser. B"},{"key":"9766_CR53","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.laa.2004.01.020","volume":"387","author":"A. Yu","year":"2004","unstructured":"Yu, A., Lu, M., Tian, F.: On the spectral radius of graphs. Linear Algebra Appl. 387, 41\u201349 (2004)","journal-title":"Linear Algebra Appl."}],"container-title":["Algorithmica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00453-013-9766-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00453-013-9766-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00453-013-9766-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,10]],"date-time":"2019-07-10T21:36:58Z","timestamp":1562794618000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00453-013-9766-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3,16]]},"references-count":53,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2013,8]]}},"alternative-id":["9766"],"URL":"https:\/\/doi.org\/10.1007\/s00453-013-9766-3","relation":{},"ISSN":["0178-4617","1432-0541"],"issn-type":[{"value":"0178-4617","type":"print"},{"value":"1432-0541","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,3,16]]}}}