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math.CO1998
A Combinatorial Proof of Bass's Evaluations of the Ihara-Selberg Zeta Function for Graphs
Dominique Foata, Doron Zeilberger
We derive combinatorial proofs of the main two evaluations of the Ihara-Selberg Zeta function associated with a graph. We give three proofs of the first evaluation all based on the…
math.CO1998
A Classic Proof of a Recurrence for a Very Classical Sequence
Dominique Foata, Doron Zeilberger
By practicing the philosophy of our beloved late master, Marco Schutzenberger, to whose memory this article is dedicated, we give an insightful bijective proof of the three-term re…