Canonical decompositions of symmetric submodular systems

  • S. Fujishige
Conference paper

DOI: 10.1007/3-540-10704-5_6

Volume 108 of the book series Lecture Notes in Computer Science (LNCS)
Cite this paper as:
Fujishige S. (1981) Canonical decompositions of symmetric submodular systems. In: Saito N., Nishizeki T. (eds) Graph Theory and Algorithms. Lecture Notes in Computer Science, vol 108. Springer, Berlin, Heidelberg

Abstract

Let E be a finite set, R the set of real numbers and f: 2E → R a symmetric submodular function. The pair (E,f) is called a symmetric submodular system. We examine the structures of symmetric submodular systems and provide a decomposition theory of symmetric submodular systems. The theory is a generalization of the decomposition theory of 2-connected graphs developed by W. T. Tutte.

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Copyright information

© springer-Verlag 1981

Authors and Affiliations

  • S. Fujishige
    • 1
  1. 1.Institute of Socio-Economic PlanningUniversity of TsukubaSakura, IbarakiJapan