Hypergraphs, characteristic polynomials and the ihara zeta function

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5702 LNCS, Issue , 2009, Pages 369-376

  Ren, Peng ^a   Aleksić, Tatjana ^b   Wilson, Richard C ^a   Hancock, Edwin R ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

^b UNIVERSITY OF KRAGUJEVAC   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

ADJACENCY MATRICES; CHARACTERISTIC POLYNOMIALS; EXPERIMENTAL EVALUATION; FEATURE VECTORS; GRAPH REPRESENTATION; HYPER GRAPH; ZETA FUNCTION;

IMAGE ANALYSIS; POLYNOMIALS;

GRAPH THEORY;

EID: 70349325963     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-03767-2_45     Document Type: Conference Paper

References (11)

1. Agarwal, S., Branson, K., Belongie, S.: Higher-order learning with graphs. In: ICML (2006)
2. Bretto, A., Cherifi, H., Aboutajdine, D.: Hypergraph imaging: an overview. Pattern Recognition 35(3), 651-658 (2002)
3. Bunke, H., Dickinson, P., Neuhaus, M., Stettler, M.: Matching of hypergraphs-algorithms, applications, and experiments. Studies in Computational Intelligence 91, 131-154 (2008)
4. Chung, F.: The laplacian of a hypergraph. AMS DIMACS Series in Discrete Mathematics and Theoretical Computer Science 10, 21-36 (1993)
5. Li, W., Sole, P.: Spectra of regular graphs and hypergraphs and orthogonal polynomials. European Journal of Combinatorics 17, 461-477 (1996)
6. Ren, P., Wilson, R.C., Hancock, E.R.: Spectral embedding of feature hypergraphs. In: da Vitoria Lobo, N., Kasparis, T., Roli, F., Kwok, J.T., Georgiopoulos, M., Anagnostopoulos, G.C., Loog, M. (eds.) S+SSPR 2008. LNCS, vol. 5342, pp. 308-317. Springer, Heidelberg (2008)
7. Rodriguez, J.A.: On the laplacian eigenvalues and metric parameters of hypergraphs. Linear and Multilinear Algebra 51, 285-297 (2003)
8. Storm, C.K.: The zeta function of a hypergraph. Electronic Journal of Combinatorics 13 (2006)
9. Wong, A.K.C., Lu, S.W., Rioux, M.: Recognition and shape synthesis of 3d objects based on attributed hypergraphs. IEEE Transactions on Pattern Analysis and Machine Intelligence 11(3), 279-290 (1989)
10. Zass, R., Shashua, A.: Probabilistic graph and hypergraph matching. In: CVPR (2008)
11. Zhou, D., Huang, J., Scholkopf, B.: Learning with hypergraphs: Clustering, classification, and embedding. In: NIPS (2007)