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» A New Upper Bound on the Total Domination Number of a Graph
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JCT
2007
103views more  JCT 2007»
13 years 7 months ago
Geometric drawings of Kn with few crossings
We give a new upper bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≤ 0.380559 ¡n 4 ¢ + Θ(n3 ) by means of a new const...
Bernardo M. Ábrego, Silvia Fernández...
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 4 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...
DM
2010
140views more  DM 2010»
13 years 7 months ago
Online Ramsey games for triangles in random graphs
In the online F-avoidance edge-coloring game with r colors, a graph on n vertices is generated by at each stage randomly adding a new edge. The player must color each new edge as ...
József Balogh, Jane Butterfield
FSTTCS
2009
Springer
13 years 12 months ago
Bounded Size Graph Clustering with Applications to Stream Processing
We introduce a graph clustering problem motivated by a stream processing application. Input to our problem is an undirected graph with vertex and edge weights. A cluster is a subse...
Rohit Khandekar, Kirsten Hildrum, Sujay Parekh, De...
CORR
2007
Springer
91views Education» more  CORR 2007»
13 years 7 months ago
Single-Exclusion Number and the Stopping Redundancy of MDS Codes
—For a linear block code C, its stopping redundancy is defined as the smallest number of check nodes in a Tanner graph for C, such that there exist no stopping sets of size smal...
Junsheng Han, Paul H. Siegel, Ron M. Roth