Twenty Open Problems in Enumeration of Matchings

Details Twenty Open Problems in Enumeration of Matchings Twenty Open Problems in Enumeration of Matchings

1998-01-13

arxiv.org/abs/math/9801060v3

Mathematics

Combinatorics

25 pages

Scientific paper

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 NOTE: This article has now been superseded by math.CO/9904150.

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