Fw: new_abstracts 20 040

[Maria Odete Madeira]

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Subject: new_abstracts 20 040

NEW ABSTRACTS (Jan 30 to Feb 6)

==================== 20-7 ====================

Paul Federbush

The Genius Conjectures ( via Bell Polynomials )

(15K, LaTeX)

ABSTRACT.  We present two related conjectures, arising in work on i-matchings in

random r-regular bipartite graphs. The conjectures themselves are easily

stated and involve only basic properties of convergent power series. One

formulation involves Bell's polynomials. The conjectures name was chosen since

we earnestly believe only a truly genius mathematician will prove them. We

advise others not to try. A further belief is that the proof will arise from

some deep properties of partitions.

http://www.ma.utexas.edu/mp_arc-bin/mpa?yn=20-7

http://www.maia.ub.es/mp_arc-bin/mpa?yn=20-7

http://kleine.mat.uniroma3.it/mp_arc-bin/mpa?yn=20-7