Bijections Between Multiparking Functions, Dirichlet Configurations, and Descending R-Traversals

Details Bijections Between Multiparking Functions, Dirichlet Configurations, and Descending R-Traversals Bijections Between Multiparking Functions, Dirichlet Configurations, and Descending R-Traversals

2006-12-15

arxiv.org/abs/math/0612456v1

Mathematics

Combinatorics

13 pages, 3 figures

Scientific paper

There are several combinatorial objects that are known to be in bijection to
the spanning trees of a graph G. These objects include G-parking functions,
critical configurations of G, and descending traversals of G. In this paper, we
extend the bijections to generalizations of all three objects.

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