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EJC
2006
15 years 6 months ago
Old and young leaves on plane trees
Abstract. A leaf of a plane tree is called an old leaf if it is the leftmost child of its parent, and it is called a young leaf otherwise. In this paper we enumerate plane trees wi...
William Y. C. Chen, Emeric Deutsch, Sergi Elizalde
COMBINATORICS
2007
105views more  COMBINATORICS 2007»
15 years 6 months ago
A Two Parameter Chromatic Symmetric Function
We introduce and develop a two-parameter chromatic symmetric function for a simple graph G over the field of rational functions in q and t , Q (q, t). We derive its expansion in ...
Ellison-Anne Williams
IPL
2006
86views more  IPL 2006»
15 years 6 months ago
On the relationship between squared pairings and plain pairings
In this paper, we investigate the relationship between the squared Weil/Tate pairing and the plain Weil/Tate pairing. Along these lines, we first show that the squared pairing for ...
Bo Gyeong Kang, Je Hong Park
129
Voted
JAT
2007
56views more  JAT 2007»
15 years 6 months ago
Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
We present a generalization of multiple orthogonal polynomials of type I and type II, which we call multiple orthogonal polynomials of mixed type. Some basic properties are formul...
Evi Daems, Arno B. J. Kuijlaars
178
Voted
COMBINATORICS
1999
139views more  COMBINATORICS 1999»
15 years 5 months ago
A Closer Look at Lattice Points in Rational Simplices
Abstract. We generalize Ehrhart's idea ([Eh]) of counting lattice points in dilated rational polytopes: Given a rational simplex, that is, an n-dimensional polytope with n + 1...
Matthias Beck