Skip to main content
Erschienen in: Soft Computing 1/2006

01.01.2006 | Focus

Median graph computation for graph clustering

verfasst von: Adel Hlaoui, Shengrui Wang

Erschienen in: Soft Computing | Ausgabe 1/2006

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, we are interested in the problem of graph clustering. We propose a new algorithm for computing the median of a set of graphs. The concept of median allows the extension of conventional algorithms such as the k-means to graph clustering, helping to bridge the gap between statistical and structural approaches to pattern recognition. Experimental results show the efficiency of the new median graph algorithm compared to the (only) existing algorithm in the literature. We also show its effective use in clustering a set of random graphs and in a content-based synthetic image retrieval system.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Luo B, Wilson RC, Hancock ER (2002) Spectral feature vectors for graph clustering. In: IAPR International Workshop on Structural, Syntactic and Statistical Pattern Recognition (S+SSPR), Windsor, Canada, LNCS 2396, pp 83–93 Luo B, Wilson RC, Hancock ER (2002) Spectral feature vectors for graph clustering. In: IAPR International Workshop on Structural, Syntactic and Statistical Pattern Recognition (S+SSPR), Windsor, Canada, LNCS 2396, pp 83–93
Zurück zum Zitat Messmer B, Bunke H (1995) Subgraph isomorphism in polynomial time. Technical report TR-IAM-95–003 Messmer B, Bunke H (1995) Subgraph isomorphism in polynomial time. Technical report TR-IAM-95–003
Zurück zum Zitat Jiang X, Munger A, Bunke H (2001) On median graphs: Properties, algorithms, and applications. IEEE Trans. PAMI 23(10):1–1 Jiang X, Munger A, Bunke H (2001) On median graphs: Properties, algorithms, and applications. IEEE Trans. PAMI 23(10):1–1
Zurück zum Zitat Gunter S, Bunke H (2001) Validation indices for graph clustering. In: Proceedings of 3rd IAPR-TC-15 Workshop on Graph-based Representations in Pattern Recognition, Ischia, Italy, pp 23–25 Gunter S, Bunke H (2001) Validation indices for graph clustering. In: Proceedings of 3rd IAPR-TC-15 Workshop on Graph-based Representations in Pattern Recognition, Ischia, Italy, pp 23–25
Zurück zum Zitat Englert R, Glantz R (2000) Towards the clustering of graphs. In: Proceedings of 2nd IAPR-TC-15 Workshop on Graph-based Representations in Pattern Recognition, Austria, pp 125–133 Englert R, Glantz R (2000) Towards the clustering of graphs. In: Proceedings of 2nd IAPR-TC-15 Workshop on Graph-based Representations in Pattern Recognition, Austria, pp 125–133
Zurück zum Zitat Hlaoui A, Wang S (2002a) A new algorithm for inexact graph matching. In 16th International Conference on Pattern Recognition, Quebec, Canada Hlaoui A, Wang S (2002a) A new algorithm for inexact graph matching. In 16th International Conference on Pattern Recognition, Quebec, Canada
Zurück zum Zitat Hlaoui A, Wang S (2002b) A new algorithm for graph matching with application to content-based image retrieval. In: IAPR International Workshop on Structural, Syntactic and Statistical Pattern Recognition (S+SSPR), Windsor, Canada, LNCS 2396, pp 291–300 Hlaoui A, Wang S (2002b) A new algorithm for graph matching with application to content-based image retrieval. In: IAPR International Workshop on Structural, Syntactic and Statistical Pattern Recognition (S+SSPR), Windsor, Canada, LNCS 2396, pp 291–300
Zurück zum Zitat Hlaoui A, Wang S (2003) A new median graph algorithm. In: Proceedings of the 4th IAPR Workshop on Graph-based Representations in Pattern Recognition, 30 June–2 July 2003, pp 239–249, York, UK Hlaoui A, Wang S (2003) A new median graph algorithm. In: Proceedings of the 4th IAPR Workshop on Graph-based Representations in Pattern Recognition, 30 June–2 July 2003, pp 239–249, York, UK
Zurück zum Zitat Jiang X, Bunke H (2002) Optimal lower bound for generalized median problems in metric space. In: IAPR International Workshop on structural, syntactic and statistical pattern recognition (S+SSPR), Windsor, Canada, LNCS 2396, pp 143–151 Jiang X, Bunke H (2002) Optimal lower bound for generalized median problems in metric space. In: IAPR International Workshop on structural, syntactic and statistical pattern recognition (S+SSPR), Windsor, Canada, LNCS 2396, pp 143–151
Zurück zum Zitat Sossa H, Horaud R (1992) Model indexing: The graph-hashing approach. In: Proceedings of IEEE conference on computer vision and pattern recognition, June 1992. Champaign, IL, pp. 811-814 Sossa H, Horaud R (1992) Model indexing: The graph-hashing approach. In: Proceedings of IEEE conference on computer vision and pattern recognition, June 1992. Champaign, IL, pp. 811-814
Zurück zum Zitat Kosinov S, Caelli T (2002) Inexact multisubgraph matching using graph eigenspace and clustering models. In: IAPR International workshop on structural, syntactic and statistical pattern recognition (S+SSPR), Windsor, Canada, LNCS 2396, pp 133–142 Kosinov S, Caelli T (2002) Inexact multisubgraph matching using graph eigenspace and clustering models. In: IAPR International workshop on structural, syntactic and statistical pattern recognition (S+SSPR), Windsor, Canada, LNCS 2396, pp 133–142
Zurück zum Zitat MacQueen J (1967) Some methods for classification and analysis of multivariate observations. In: Proceedings of the 5th Berkeley symposium on mathematical statistics and probability. vol I, Statistics, Le Cam LM, Neyman J. (Eds). University of California Press MacQueen J (1967) Some methods for classification and analysis of multivariate observations. In: Proceedings of the 5th Berkeley symposium on mathematical statistics and probability. vol I, Statistics, Le Cam LM, Neyman J. (Eds). University of California Press
Metadaten
Titel
Median graph computation for graph clustering
verfasst von
Adel Hlaoui
Shengrui Wang
Publikationsdatum
01.01.2006
Erschienen in
Soft Computing / Ausgabe 1/2006
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-005-0464-1

Weitere Artikel der Ausgabe 1/2006

Soft Computing 1/2006 Zur Ausgabe