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Variations for Lovász’ Submodular Ideas

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Building Bridges

Part of the book series: Bolyai Society Mathematical Studies ((BSMS,volume 19))

Abstract

In [18], L. Lovász provided simple and short proofs for two classic min-max theorems of graph theory by inventing basic techniques to handle sub- or supermodular functions. In this paper, we want to demonstrate that these ideas are alive after thirty years of their birth.

Research supported by the Hungarian National Foundation for Scientific Research, OTKA K60802. The work was completed while the second author visited the Research Institute for Mathematical Sciences, Kyoto University, 2008.

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Dedicated to Lovász Laci on the occasion of his 60’th birthday by his youngest and oldest mathematical descendants

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© 2008 János Bolyai Mathematical Society and Springer-Verlag

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Bérczi, K., Frank, A. (2008). Variations for Lovász’ Submodular Ideas. In: Grötschel, M., Katona, G.O.H., Sági, G. (eds) Building Bridges. Bolyai Society Mathematical Studies, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85221-6_4

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