Skip to main content
Top

2014 | OriginalPaper | Chapter

10. Graphs and Matrices

Authors : Dan A. Simovici, Chabane Djeraba

Published in: Mathematical Tools for Data Mining

Publisher: Springer London

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Graphs model relations between elements of sets. The term “graph” is suggested by the fact that these mathematical structures can be graphically represented.

Dont have a licence yet? Then find out more about our products and how to get one now:

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 "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!

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!

Literature
1.
go back to reference D.J. Cook, L.B. Holder, Mining Graph Data (Wiley-Interscience, Hoboken, 2007)MATH D.J. Cook, L.B. Holder, Mining Graph Data (Wiley-Interscience, Hoboken, 2007)MATH
2.
go back to reference C. Aggarwal, H. Wang (eds.), Managing and Mining Graph Data (Springer, New York, 2010)MATH C. Aggarwal, H. Wang (eds.), Managing and Mining Graph Data (Springer, New York, 2010)MATH
3.
4.
go back to reference S.L. Hakimi, On the realizability of a set of integers as degrees of the vertices of a graph. SIAM J. Appl. Math. 10, 496–506 (1962)CrossRefMATHMathSciNet S.L. Hakimi, On the realizability of a set of integers as degrees of the vertices of a graph. SIAM J. Appl. Math. 10, 496–506 (1962)CrossRefMATHMathSciNet
5.
go back to reference R. Rymon, Search through systematic set enumeration, in Proceedings of the 3rd International Conference on Principles of Knowledge Representation and Reasoning, Cambridge, MA, ed. by B. Nebel, C. Rich, W.R. Swartout (Morgan Kaufmann, San Mateo, CA, 1992), pp. 539–550 R. Rymon, Search through systematic set enumeration, in Proceedings of the 3rd International Conference on Principles of Knowledge Representation and Reasoning, Cambridge, MA, ed. by B. Nebel, C. Rich, W.R. Swartout (Morgan Kaufmann, San Mateo, CA, 1992), pp. 539–550
6.
go back to reference H. Prüfer, Neuer beweis eines satzes über permutationen. Archiv für Mathematik und Physik 27, 142–144 (1918)MATH H. Prüfer, Neuer beweis eines satzes über permutationen. Archiv für Mathematik und Physik 27, 142–144 (1918)MATH
7.
go back to reference M. Fiedler, Special Matrices and Their Applications in Numerical Mathematics, 2nd edn. (Dover Publications, New York, 2008)MATH M. Fiedler, Special Matrices and Their Applications in Numerical Mathematics, 2nd edn. (Dover Publications, New York, 2008)MATH
8.
go back to reference A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences (Academic Press, New York, 1979)MATH A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences (Academic Press, New York, 1979)MATH
9.
go back to reference F. Harary, Graph Theory (Addison-Wesley, Reading, 1971) F. Harary, Graph Theory (Addison-Wesley, Reading, 1971)
10.
11.
go back to reference B. Bollobás, Graph Theory—An Introductory Course (Springer-Verlag, New York, 1979)MATH B. Bollobás, Graph Theory—An Introductory Course (Springer-Verlag, New York, 1979)MATH
12.
13.
go back to reference R.E. Tarjan, Data Structures and Network Algorithms (SIAM, Philadelphia, 1983)CrossRef R.E. Tarjan, Data Structures and Network Algorithms (SIAM, Philadelphia, 1983)CrossRef
17.
go back to reference V. Chvátal, P.L. Hammer, Aggregation of inequality in integer programming. Ann. Discrete Math. 1, 145–162 (1977)CrossRef V. Chvátal, P.L. Hammer, Aggregation of inequality in integer programming. Ann. Discrete Math. 1, 145–162 (1977)CrossRef
18.
go back to reference J. Matoušek, J. Neštřil, Invitation to Discrete Mathematics, 2nd edn. (Oxford University Press, Oxford, 2011) J. Matoušek, J. Neštřil, Invitation to Discrete Mathematics, 2nd edn. (Oxford University Press, Oxford, 2011)
19.
go back to reference D. Cvetković, Graphs and their spectra. Publ. Elek. Fak. Univ. Beograd: Ser. Mat. Fiz. 354, 1–50 (1971) D. Cvetković, Graphs and their spectra. Publ. Elek. Fak. Univ. Beograd: Ser. Mat. Fiz. 354, 1–50 (1971)
20.
go back to reference A.E. Brouwer, W.H. Haemers, Spectra of Graphs (Springer, New York, 2011) A.E. Brouwer, W.H. Haemers, Spectra of Graphs (Springer, New York, 2011)
21.
22.
go back to reference A.N. Langville, C.D. Meyer, Google’s Page Rank and Beyond: The Science of Search Engine Rankings (Princeton University Press, Princeton, 2006) A.N. Langville, C.D. Meyer, Google’s Page Rank and Beyond: The Science of Search Engine Rankings (Princeton University Press, Princeton, 2006)
23.
go back to reference A. Bonato, A Course on the Web Graph (American Mathematical Society, Providence, 2008)MATH A. Bonato, A Course on the Web Graph (American Mathematical Society, Providence, 2008)MATH
25.
go back to reference L. Lovasz, M.D. Plummer, Matching Theory (American Mathematical Society, Providence, 2009)MATH L. Lovasz, M.D. Plummer, Matching Theory (American Mathematical Society, Providence, 2009)MATH
Metadata
Title
Graphs and Matrices
Authors
Dan A. Simovici
Chabane Djeraba
Copyright Year
2014
Publisher
Springer London
DOI
https://doi.org/10.1007/978-1-4471-6407-4_10

Premium Partner