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CIAC
2006
Springer
100views Algorithms» more  CIAC 2006»
15 years 10 months ago
Distributed Approximation Algorithms for Planar Graphs
In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximat...
Andrzej Czygrinow, Michal Hanckowiak, Edyta Szyman...
JCT
2007
93views more  JCT 2007»
15 years 6 months ago
The circular chromatic index of graphs of high girth
We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
Tomás Kaiser, Daniel Král, Riste Skr...
JCT
2007
85views more  JCT 2007»
15 years 6 months ago
Separating systems and oriented graphs of diameter two
We prove results on the size of weakly and strongly separating set systems and matrices, and on cross-intersecting systems. As a consequence, we improve on a result of Katona and ...
Béla Bollobás, Alex D. Scott
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...
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. ...