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SIAMDM
2008
100views more  SIAMDM 2008»
13 years 7 months ago
Tree-Related Widths of Graphs and Hypergraphs
A hypergraph pair is a pair (G, H) where G and H are hypergraphs on the same set of vertices. We extend the definitions of hypertree-width [7] and generalised hypertree-width [8] ...
Isolde Adler
IPL
2008
84views more  IPL 2008»
13 years 7 months ago
Minimal proper interval completions
Given an arbitrary graph G = (V, E) and a proper interval graph H = (V, F) with E F we say that H is a proper interval completion of G. The graph H is called a minimal proper inte...
Ivan Rapaport, Karol Suchan, Ioan Todinca
TKDE
2012
198views Formal Methods» more  TKDE 2012»
11 years 10 months ago
Distributed Line Graphs: A Universal Technique for Designing DHTs Based on Arbitrary Regular Graphs
— Most proposed DHTs engage certain topology maintenance mechanisms specific to the static graphs on which they are based. The designs of these mechanisms are complicated and rep...
Yiming Zhang, Ling Liu
DM
2008
111views more  DM 2008»
13 years 7 months ago
Planarity of iterated line graphs
The line index of a graph G is the smallest k such that the kth iterated line graph of G is nonplanar. We show that the line index of a graph is either in nite or it is at most 4....
Mohammad Ghebleh, Mahdad Khatirinejad
TCS
2008
13 years 7 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...