English

Twenty Open Problems in Enumeration of Matchings

Combinatorics 2007-05-23 v3

Abstract

This document is an exposition of an assortment of open problems arising from the exact enumeration of (perfect) matchings of finite graphs. Roughly half have been solved at the time of this writing; see the document "Twenty Open Problems in Enumeration of Matchings: Progress Report" (also available from this server as math.CO/9801061). NOTE: This article has now been superseded by math.CO/9904150.

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Cite

@article{arxiv.math/9801060,
  title  = {Twenty Open Problems in Enumeration of Matchings},
  author = {James Propp},
  journal= {arXiv preprint arXiv:math/9801060},
  year   = {2007}
}

Comments

25 pages

R2 v1 2026-07-22T17:57:26.892Z