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EJC
2000
13 years 7 months ago
The Generalized Baues Problem for Cyclic Polytopes I
Given an affine surjection of polytopes : P Q, the Generalized Baues Problem asks whether the poset of all proper polyhedral subdivisions of Q which are induced by the map has t...
Jörg Rambau, Francisco Santos
EJC
2008
13 years 7 months ago
Dyck paths with coloured ascents
We introduce a notion of Dyck paths with coloured ascents. For several ways of colouring, when the set of colours is itself some class of lattice paths, we establish bijections be...
Andrei Asinowski, Toufik Mansour
EJC
2000
13 years 7 months ago
Further Investigations Involving Rook Polynomials With Only Real Zeros
We study the zeros of two families of polynomials related to rook theory and matchings in graphs. One of these families is based on the cover polynomial of a digraph introduced by ...
James Haglund
EJC
2000
13 years 8 months ago
A Communicating Tree Model for Generating Network Applications
We present a new model for generating network applications. Our model is based on trees communicating with each other. Our model is simple to understand, but yet powerful enough to...
Tomohiro Matsuzaki, Takehiro Tokuda
EJC
2000
13 years 7 months ago
Cyclic Polytopes and Oriented Matroids
Consider the moment curve in the real Euclidean space Rd defined parametrically by the map : R Rd , t (t) = (t, t2 , . . . , td ). The cyclic d-polytope Cd(t1, . . . , tn) is t...
Raul Cordovil, Pierre Duchet