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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 9 months 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»
14 years 1 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»
15 years 6 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»
15 years 6 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
15 years 7 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