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JCT
2006
75views more  JCT 2006»
15 years 1 months ago
Sperner labellings: A combinatorial approach
In 2002, De Loera, Peterson and Su proved the following conjecture of Atanassov: let T be a triangulation of a d-dimensional polytope P with n vertices v1, v2, . . . , vn; label t...
Frédéric Meunier
COMBINATORICS
1998
88views more  COMBINATORICS 1998»
15 years 1 months ago
A Bijective Proof of Garsia's q-Lagrange Inversion Theorem
A q-Lagrange inversion theorem due to A. M. Garsia is proved by means of two sign-reversing, weight-preserving involutions on Catalan trees.
Dan W. Singer
SIAMDM
2010
194views more  SIAMDM 2010»
14 years 8 months ago
Combinatorics and Geometry of Finite and Infinite Squaregraphs
Abstract. Squaregraphs were originally defined as finite plane graphs in which all inner faces are quadrilaterals (i.e., 4-cycles) and all inner vertices (i.e., the vertices not in...
Hans-Jürgen Bandelt, Victor Chepoi, David Epp...
COMPGEOM
2007
ACM
15 years 5 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
121
Voted
CIE
2009
Springer
15 years 8 months ago
Relationship between Kanamori-McAloon Principle and Paris-Harrington Theorem
We give a combinatorial proof of a tight relationship between the Kanamori-McAloon principle and the Paris-Harrington theorem with a number-theoretic parameter function. We show th...
Gyesik Lee