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» The Graphs with All Subgraphs T-Perfect
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GBRPR
2003
Springer
14 years 26 days ago
Constructing Stochastic Pyramids by MIDES - Maximal Independent Directed Edge Set
Abstract. We present a new method (MIDES) to determine contraction kernels for the construction of graph pyramids. Experimentally the new method has a reduction factor higher than ...
Yll Haxhimusa, Roland Glantz, Walter G. Kropatsch
DAM
2007
85views more  DAM 2007»
13 years 7 months ago
Further mathematical properties of Cayley digraphs applied to hexagonal and honeycomb meshes
In this paper, we extend known relationships between Cayley digraphs and their subgraphs and coset graphs with respect to subgroups to obtain a number of general results on homomo...
Wenjun Xiao, Behrooz Parhami
SIAMCOMP
2010
125views more  SIAMCOMP 2010»
13 years 2 months ago
Approximating Steiner Networks with Node-Weights
The (undirected) Steiner Network problem is: given a graph = ( , ) with edge/node-weights and edge-connectivity requirements { ( , ) : , }, find a minimumweight subgraph of conta...
Zeev Nutov
FOCS
2008
IEEE
14 years 2 months ago
Dynamic Connectivity: Connecting to Networks and Geometry
Dynamic connectivity is a well-studied problem, but so far the most compelling progress has been confined to the edge-update model: maintain an understanding of connectivity in a...
Timothy M. Chan, Mihai Patrascu, Liam Roditty
CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 2 months ago
On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
Sonny Ben-Shimon, Michael Krivelevich, Benny Sudak...