{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,5]],"date-time":"2025-06-05T04:26:15Z","timestamp":1749097575916,"version":"3.38.0"},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642149795"},{"type":"electronic","value":"9783642149801"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010]]},"DOI":"10.1007\/978-3-642-14980-1_5","type":"book-chapter","created":{"date-parts":[[2010,8,28]],"date-time":"2010-08-28T10:05:23Z","timestamp":1282989923000},"page":"60-69","source":"Crossref","is-referenced-by-count":4,"title":["Graph Embedding Using an Edge-Based Wave Kernel"],"prefix":"10.1007","author":[{"given":"Hewayda","family":"ElGhawalby","sequence":"first","affiliation":[]},{"given":"Edwin R.","family":"Hancock","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"5_CR1","doi-asserted-by":"crossref","unstructured":"Belkin, M., Niyogi, P.: Laplacian eigenmaps and spectral techniques for embedding and clustering. In: Leen, T.K., Dietterich, T.G., Tresp, V. (eds.) Advances in neural information processing systems, vol.\u00a014. MIT Press, Cambridge (2002)","DOI":"10.7551\/mitpress\/1120.003.0080"},{"key":"5_CR2","doi-asserted-by":"crossref","unstructured":"Clarke, C.J.S.: On the global isometric embedding of pseudo-riemannian manifolds. In: Proceedings of Royal Society of London. A, vol.\u00a0314, pp. 417\u2013428 (1970)","DOI":"10.1098\/rspa.1970.0015"},{"key":"5_CR3","volume-title":"Multidimensional Scaling","author":"T. Cox","year":"1994","unstructured":"Cox, T., Cox, M.: Multidimensional Scaling. Chapman-Hall, Boca Raton (1994)"},{"key":"5_CR4","doi-asserted-by":"crossref","unstructured":"Dubuisson, M., Jain, A.: A modified hausdorff distance for object matching, pp. 566\u2013568 (1994)","DOI":"10.1109\/ICPR.1994.576361"},{"key":"5_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1007\/978-3-540-69812-8_51","volume-title":"Image Analysis and Recognition","author":"H. ElGhawalby","year":"2008","unstructured":"ElGhawalby, H., Hancock, E.R.: Measuring graph similarity using spectral geometry. In: Campilho, A., Kamel, M.S. (eds.) ICIAR 2008. LNCS, vol.\u00a05112, pp. 517\u2013526. Springer, Heidelberg (2008)"},{"issue":"2","key":"5_CR6","doi-asserted-by":"publisher","first-page":"229","DOI":"10.2140\/pjm.2004.216.229","volume":"216","author":"J. Friedman","year":"2004","unstructured":"Friedman, J., Tillich, J.P.: Wave equations for graphs and the edge based laplacian. Pacific Journal of Mathematics\u00a0216(2), 229\u2013266 (2004)","journal-title":"Pacific Journal of Mathematics"},{"key":"5_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61798-0","volume-title":"Elliptic Partial Differential Equations of Second Order","author":"D. Gilbarg","year":"1983","unstructured":"Gilbarg, D., Trudinger, N.S.: Elliptic Partial Differential Equations of Second Order. Springer, Heidelberg (1983)"},{"key":"5_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-9626-8","volume-title":"Mathematical physics of quantum wires and devices","author":"N.E. Hurt","year":"2000","unstructured":"Hurt, N.E.: Mathematical physics of quantum wires and devices. Kluwer Academic Publishers, Dordrecht (2000)"},{"key":"5_CR9","doi-asserted-by":"publisher","first-page":"2213","DOI":"10.1016\/S0031-3203(03)00084-0","volume":"[36]","author":"B. Luo","year":"2003","unstructured":"Luo, B., Wilson, R.C., Hancock, E.R.: Spectral embedding of graphs. Pattern Recogintion\u00a0[36], 2213\u20132230 (2003)","journal-title":"Pattern Recogintion"},{"key":"5_CR10","doi-asserted-by":"publisher","first-page":"383","DOI":"10.2307\/1969840","volume":"60","author":"J.F. Nash","year":"1954","unstructured":"Nash, J.F.: C1-isometric imbeddings. Ann. Math.\u00a060, 383\u2013396 (1954)","journal-title":"Ann. Math."},{"key":"5_CR11","doi-asserted-by":"publisher","first-page":"20","DOI":"10.2307\/1969989","volume":"63","author":"J.F. Nash","year":"1956","unstructured":"Nash, J.F.: The imbedding problem for riemannian manifolds. Ann. Math.\u00a063, 20\u201363 (1956)","journal-title":"Ann. Math."},{"issue":"6","key":"5_CR12","doi-asserted-by":"publisher","first-page":"1017","DOI":"10.1109\/TPAMI.2008.290","volume":"31","author":"E. Pekalska","year":"2009","unstructured":"Pekalska, E., Haasdonk, B.: Kernel discriminant analysis for positive definite and indefinite kernels. IEEE transactions on pattern analysis and machine intelligence\u00a031(6), 1017\u20131032 (2009)","journal-title":"IEEE transactions on pattern analysis and machine intelligence"},{"key":"5_CR13","doi-asserted-by":"publisher","first-page":"2319","DOI":"10.1126\/science.290.5500.2319","volume":"290","author":"J.B. Tenenbaum","year":"2000","unstructured":"Tenenbaum, J.B., de Silva, V., Langford, J.C.: A global geometric framework for nonlinear dimensionality reduction. Science\u00a0290, 2319\u20132323 (2000)","journal-title":"Science"},{"issue":"2","key":"5_CR14","doi-asserted-by":"publisher","first-page":"645","DOI":"10.2307\/1968482","volume":"37","author":"H. Whitney","year":"1936","unstructured":"Whitney, H.: Differentiable manifolds. Ann. of Math.\u00a037(2), 645\u2013680 (1936)","journal-title":"Ann. of Math."},{"issue":"11","key":"5_CR15","doi-asserted-by":"publisher","first-page":"2589","DOI":"10.1016\/j.patcog.2008.12.029","volume":"42","author":"B. Xiao","year":"2009","unstructured":"Xiao, B., Hancock, E.R., Wilson, R.C.: Graph characteristics from the heat kernel trace. Pattern Recognition\u00a042(11), 2589\u20132606 (2009)","journal-title":"Pattern Recognition"},{"key":"5_CR16","doi-asserted-by":"publisher","first-page":"1606","DOI":"10.1016\/j.neucom.2009.10.023","volume":"73","author":"B. Xiao","year":"2010","unstructured":"Xiao, B., Hancock, E.R., Yu, H.: Manifold embeddingforshapeanalysis. Neurocomputing\u00a073, 1606\u20131613 (2010)","journal-title":"Neurocomputing"}],"container-title":["Lecture Notes in Computer Science","Structural, Syntactic, and Statistical Pattern Recognition"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-14980-1_5.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,25]],"date-time":"2025-02-25T05:51:40Z","timestamp":1740462700000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-14980-1_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010]]},"ISBN":["9783642149795","9783642149801"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-14980-1_5","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2010]]}}}