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» Diameter bounds for planar graphs
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DCG
2007
102views more  DCG 2007»
13 years 6 months ago
How to Exhibit Toroidal Maps in Space
Steinitz’s Theorem states that a graph is the 1-skeleton of a convex polyhedron if and only if it is 3-connected and planar. The polyhedron is called a geometric realization of ...
Dan Archdeacon, C. Paul Bonnington, Joanna A. Elli...
COMPGEOM
2010
ACM
13 years 11 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
IWDC
2005
Springer
156views Communications» more  IWDC 2005»
13 years 11 months ago
Labeling Schemes for Tree Representation
This paper deals with compact label-based representations for trees. Consider an n-node undirected connected graph G with a predefined numbering on the ports of each node. The al...
Reuven Cohen, Pierre Fraigniaud, David Ilcinkas, A...
ICALP
2005
Springer
13 years 12 months ago
Preservation Under Extensions on Well-Behaved Finite Structures
A class of relational structures is said to have the extension preservation property if every first-order sentence that is preserved under extensions on the class is equivalent t...
Albert Atserias, Anuj Dawar, Martin Grohe
APPROX
2006
Springer
120views Algorithms» more  APPROX 2006»
13 years 10 months ago
Single-Source Stochastic Routing
Abstract. We introduce and study the following model for routing uncertain demands through a network. We are given a capacitated multicommodity flow network with a single source an...
Shuchi Chawla, Tim Roughgarden