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cond-mat.dis-nnJan 17, 1998
66
citations (OpenAlex)
authors
  • Giorgio Parisi
institutions
  • Istituto Nazionale di Fisica Nucleare
  • Istituto Nazionale di Fisica Nucleare, Sezione di Roma I
  • Sapienza University of Rome
arXiv abstractPDF
paper

A Conjecture on random bipartite matching

arXiv:cond-mat/9801176

Abstract

In this note we put forward a conjecture on the average optimal length for bipartite matching with a finite number of elements where the different lengths are independent one from the others and have an exponential distribution.

2 pages, no figures

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  • On the expected value of the minimum assignment
  • Phase transition in the assignment problem for random matrices
  • Bivariate Uniqueness and Endogeny for the Logistic Recursive Distributional Equation
  • Belief propagation for minimum weight many-to-one matchings in the random complete graph
  • Average case performance of heuristics for multi-dimensional assignment problems
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