Department of Mathematics
Texas A & M - Commerce
Student/Faculty Colloquium
Thursday, October 5, 2006
Henderson 302, 2pm
Dimitrije Kostic,
Texas A&M University - Commerce math department,
will speak on:
Parking functions and their generalizations
Abstract:
A parking function (of length n) is a sequence a1,
a2, ...,
an, for which bi
is less than or equal to i, where b1, b2,
..., bn is
the nondecreasing rearrangement. There are various
generalizations of
parking functions, each of which have been connected to important
objects
in other fields of mathematics, such as free probability theory,
hyperplane arrangements, and algebraic graph theory. In this
talk, we
survey some of these generalizations and the corresponding results.