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DCG
2006
61views more  DCG 2006»
13 years 11 months ago
Globally Linked Pairs of Vertices in Equivalent Realizations of Graphs
Bill Jackson, Tibor Jordán, Zoltan Szabadka
DCG
2006
90views more  DCG 2006»
13 years 11 months ago
Combinatorial Complexity of Convex Sequences
We show that the equation si1 + si2 +
Alex Iosevich, S. Konyagin, Michael Rudnev, V. Ten
DCG
2006
68views more  DCG 2006»
13 years 11 months ago
The Stirling Polynomial of a Simplicial Complex
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...
Gábor Hetyei
DCG
2006
89views more  DCG 2006»
13 years 11 months ago
Apollonian Circle Packings: Geometry and Group Theory III. Higher Dimensions
This paper gives n-dimensional analogues of the Apollonian circle packings in Parts I and II. Those papers considered circle packings described in terms of their Descartes configur...
Ronald L. Graham, Jeffrey C. Lagarias, Colin L. Ma...
DCG
2006
110views more  DCG 2006»
13 years 11 months ago
High-Dimensional Centrally Symmetric Polytopes with Neighborliness Proportional to Dimension
Let A be a d by n matrix, d < n. Let C be the regular cross polytope (octahedron) in Rn . It has recently been shown that properties of the centrosymmetric polytope P = AC are ...
David L. Donoho
DCG
2006
69views more  DCG 2006»
13 years 11 months ago
Colourful Simplicial Depth
Inspired by B
Antoine Deza, Sui Huang, Tamon Stephen, Tamá...
DCG
2006
57views more  DCG 2006»
13 years 11 months ago
The Sylvester-Chvatal Theorem
Xiaomin Chen
DCG
2006
47views more  DCG 2006»
13 years 11 months ago
Rhombus Tilings: Decomposition and Space Structure
Frédéric Chavanon, Eric Rémil...
DCG
2006
43views more  DCG 2006»
13 years 11 months ago
Combinatorially Regular Polyomino Tilings
James W. Cannon, William J. Floyd, Walter R. Parry
DCG
2006
127views more  DCG 2006»
13 years 11 months ago
The Angle Defect for Odd-Dimensional Simplicial Manifolds
In a 1967 paper, Banchoff stated that a certain type of polyhedral curvature, that applies to all finite polyhedra, was zero at all vertices of an odd-dimensional polyhedral manifo...
Ethan D. Bloch