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» The b-chromatic Number of a Graph
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STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 11 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
14 years 4 months 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»
14 years 2 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...
CORR
2008
Springer
71views Education» more  CORR 2008»
13 years 10 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. ...
DM
2011
249views Education» more  DM 2011»
13 years 5 months ago
Acyclic vertex coloring of graphs of maximum degree 5
An acyclic vertex coloring of a graph is a proper vertex coloring such that there are no bichromatic cycles.  The acyclic chromatic number of G, denoted ...
Kishore Yadav, Satish Varagani, Kishore Kothapalli...