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STOC
2009
ACM
171views Algorithms» more  STOC 2009»
16 years 7 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos
COMPGEOM
2006
ACM
16 years 15 days ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
DNA
2006
Springer
126views Bioinformatics» more  DNA 2006»
15 years 10 months ago
On the Complexity of Graph Self-assembly in Accretive Systems
We study the complexity of the Accretive Graph Assembly Problem (AGAP). An instance of AGAP consists of an edge-weighted graph G, a seed vertex in G, and a temperature . The goal i...
Stanislav Angelov, Sanjeev Khanna, Mirkó Vi...
JGAA
2002
86views more  JGAA 2002»
15 years 6 months ago
Planar Graphs with Topological Constraints
We address in this paper the problem of constructing embeddings of planar graphs satisfying declarative, user-defined topological constraints. The constraints consist each of a cy...
Christoph Dornheim
CORR
2008
Springer
71views Education» more  CORR 2008»
15 years 6 months ago
Subclose Families, Threshold Graphs, and the Weight Hierarchy of Grassmann and Schubert Codes
Abstract. We discuss the problem of determining the complete weight hierarchy of linear error correcting codes associated to Grassmann varieties and, more generally, to Schubert va...
Sudhir R. Ghorpade, Arunkumar R. Patil, Harish K. ...