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» On Bounds for the k-Partitioning of Graphs
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MST
2011
231views Hardware» more  MST 2011»
14 years 24 days ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
CORR
2012
Springer
194views Education» more  CORR 2012»
13 years 5 months ago
A Graph Theoretical Approach to Network Encoding Complexity
Consider an acyclic directed network G with sources S1, S2, . . . , Sl and distinct sinks R1, R2, . . . , Rl. For i = 1, 2, . . . , l, let ci denote the min-cut between Si and Ri....
Li Xu, Weiping Shang, Guangyue Han
DM
2007
142views more  DM 2007»
14 years 10 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
JCT
2007
90views more  JCT 2007»
14 years 9 months ago
On the maximum number of edges in quasi-planar graphs
A topological graph is quasi-planar, if it does not contain three pairwise crossing edges. Agarwal et al. [2] proved that these graphs have a linear number of edges. We give a sim...
Eyal Ackerman, Gábor Tardos
NIPS
2008
14 years 11 months ago
Bounds on marginal probability distributions
We propose a novel bound on single-variable marginal probability distributions in factor graphs with discrete variables. The bound is obtained by propagating local bounds (convex ...
Joris M. Mooij, Hilbert J. Kappen