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CORR
2007
Springer
126views Education» more  CORR 2007»
13 years 7 months ago
Network synchronizability analysis: the theory of subgraphs and complementary graphs
In this paper, subgraphs and complementary graphs are used to analyze network synchronizability. Some sharp and attainable bounds are derived for the eigenratio of the network str...
Zhisheng Duan, Chao Liu, Guanrong Chen
SODA
2010
ACM
235views Algorithms» more  SODA 2010»
14 years 5 months ago
Algorithmic Lower Bounds for Problems Parameterized by Clique-width
Many NP-hard problems can be solved efficiently when the input is restricted to graphs of bounded tree-width or clique-width. In particular, by the celebrated result of Courcelle,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
PODC
2005
ACM
14 years 1 months ago
On the locality of bounded growth
Many large-scale networks such as ad hoc and sensor networks, peer-to-peer networks, or the Internet have the property that the number of independent nodes does not grow arbitrari...
Fabian Kuhn, Thomas Moscibroda, Roger Wattenhofer
APPROX
2007
Springer
80views Algorithms» more  APPROX 2007»
13 years 12 months ago
Coarse Differentiation and Multi-flows in Planar Graphs
We show that the multi-commodity max-flow/min-cut gap for series-parallel graphs can be as bad as 2, matching a recent upper bound [8] for this class, and resolving one side of a ...
James R. Lee, Prasad Raghavendra
DM
2007
142views more  DM 2007»
13 years 7 months ago
Dominating direct products of graphs
An upper bound for the domination number of the direct product of graphs is proved. It in particular implies that for any graphs G and H, γ(G × H) ≤ 3γ(G)γ(H). Graphs with a...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall