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95
Voted
SODA
2012
ACM
213views Algorithms» more  SODA 2012»
13 years 3 days ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
81
Voted
EJC
2008
14 years 9 months ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez
FOCS
2003
IEEE
15 years 3 months ago
On Levels in Arrangements of Curves, II: A Simple Inequality and Its Consequences
We give a surprisingly short proof that in any planar arrangement of Ò curves where each pair intersects at most a fixed number (×) of times, the -level has subquadratic (Ç´...
Timothy M. Chan
103
Voted
GD
2000
Springer
15 years 1 months ago
Three-Dimensional Orthogonal Graph Drawing with Optimal Volume
An orthogonal drawing of a graph is an embedding of the graph in the rectangular grid, with vertices represented by axis-aligned boxes, and edges represented by paths in the grid w...
Therese C. Biedl, Torsten Thiele, David R. Wood
APPROX
2005
Springer
106views Algorithms» more  APPROX 2005»
15 years 3 months ago
Approximating the Bandwidth of Caterpillars
A caterpillar is a tree in which all vertices of degree three or more lie on one path, called the backbone. We present a polynomial time algorithm that produces a linear arrangeme...
Uriel Feige, Kunal Talwar