Graph Theory and Algorithms

Volume 108 of the series Lecture Notes in Computer Science pp 53-64


Canonical decompositions of symmetric submodular systems

  • S. FujishigeAffiliated withInstitute of Socio-Economic Planning, University of Tsukuba


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.