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DCG
2002
2002
A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron
13 years 7 months ago
The volume of the n-dimensional polytope nx := fy 2 Rn : yi 0 and y1 + + yi x1 + + xi for all 1 i ng for arbitrary x := x1; : : : ; xn with xi 0 for all i de nes a polyn...
TIT
2008
13 years 7 months ago
2008
Abstract--The ranking problem has become increasingly important in modern applications of statistical methods in automated decision making systems. In particular, we consider a for...
IADIS
2004
13 years 8 months ago
2004
To improve the courses of computer-based education in junior high school and high school, we have developed new educational multi-media tool, named Cyber Theater. Cyber Theater pr...
DCG
2008
13 years 7 months ago
2008
Let S be the boundary of a convex polytope of dimension d + 1, or more generally let S be a convex polyhedral pseudomanifold. We prove that S has a polyhedral nonoverlapping unfold...
DCG
2008
13 years 7 months ago
2008
In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...