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PERCOM
2006
ACM
14 years 7 months ago
Online Routing in Quasi-Planar and Quasi-Polyhedral Graphs
We address the problem of online route discovery for a class of graphs that can be embedded either in two or in three dimensional space. In two dimensions we propose the class of ...
Evangelos Kranakis, Tim Mott, Ladislav Stacho
CORR
2010
Springer
103views Education» more  CORR 2010»
13 years 7 months ago
On Graph Crossing Number and Edge Planarization
Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their ...
Julia Chuzhoy, Yury Makarychev, Anastasios Sidirop...
CORR
2010
Springer
145views Education» more  CORR 2010»
13 years 7 months ago
CAT-generation of ideals
We consider the problem of generating all ideals of a poset. It is a long standing open problem, whether or not the ideals of any poset can be generated in constant amortized time...
Torsten Ueckerdt
SODA
2010
ACM
205views Algorithms» more  SODA 2010»
14 years 5 months ago
Maximum Flows and Parametric Shortest Paths in Planar Graphs
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
Jeff Erickson
ALGORITHMICA
2006
103views more  ALGORITHMICA 2006»
13 years 7 months ago
Recognizing Hole-Free 4-Map Graphs in Cubic Time
We present a cubic-time algorithm for the following problem: Given a simple graph, decide whether it is realized by adjacencies of countries in a map without holes, in which at mo...
Zhi-Zhong Chen, Michelangelo Grigni, Christos H. P...