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TCS
2008
15 years 6 months ago
Sequential and parallel triangulating algorithms for Elimination Game and new insights on Minimum Degree
1 Elimination Game is a well known algorithm that simulates Gaussian elimination of matrices on graphs, and it computes a triangulation of the input graph. The number of fill edge...
Anne Berry, Elias Dahlhaus, Pinar Heggernes, Genev...
JCT
2007
111views more  JCT 2007»
15 years 6 months ago
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
David Forge, Thomas Zaslavsky
ATMOS
2010
134views Optimization» more  ATMOS 2010»
15 years 5 months ago
Vertex Disjoint Paths for Dispatching in Railways
We study variants of the vertex disjoint paths problem in planar graphs where paths have to be selected from a given set of paths. We study the problem as a decision, maximization...
Holger Flier, Matús Mihalák, Anita S...
SPRINGSIM
2010
15 years 5 months ago
GTNA: a framework for the graph-theoretic network analysis
Concise and reliable graph-theoretic analysis of complex networks today is a cumbersome task, consisting essentially of the adaptation of intricate libraries for each specific pr...
Benjamin Schiller, Dirk Bradler, Immanuel Schweize...
IMCSIT
2010
15 years 4 months ago
Fast Construction of Broadcast Scheduling and Gossiping in Dynamic Ad Hoc Networks
This paper studies the minimum latency broadcast schedule (MLBS) problem in ad hoc networks represented by unit disk graphs. In our approach we use an algorithm, which does not nee...
Krzysztof Krzywdzinski