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JCT
2007
82views more  JCT 2007»
14 years 11 months ago
A new generalization of Mantel's theorem to k-graphs
Let the k-graph Fank consist of k edges that pairwise intersect exactly in one vertex x, plus one more edge intersecting each of these edges in a vertex different from x. We prov...
Dhruv Mubayi, Oleg Pikhurko
CORR
2010
Springer
81views Education» more  CORR 2010»
14 years 6 months ago
Analysis of Agglomerative Clustering
The diameter k-clustering problem is the problem of partitioning a finite subset of Rd into k subsets called clusters such that the maximum diameter of the clusters is minimized. ...
Marcel R. Ackermann, Johannes Blömer, Daniel ...
DCC
2008
IEEE
15 years 11 months ago
Asymmetric Multi-level Diversity Coding
Symmetric multilevel diversity coding was introduced by Roche et al, where a set of K information sources is encoded by K encoders and the decoders reconstruct sources 1, . . . , ...
Soheil Mohajer, Chao Tian, Suhas N. Diggavi
JCT
2007
140views more  JCT 2007»
14 years 11 months ago
Homomorphisms and edge-colourings of planar graphs
We conjecture that every planar graph of odd-girth 2k + 1 admits a homomorphism to Cayley graph C(Z2k+1 2 , S2k+1), with S2k+1 being the set of (2k + 1)vectors with exactly two co...
Reza Naserasr
DAM
2008
123views more  DAM 2008»
14 years 12 months ago
Polar cographs
Polar graphs are a natural extension of some classes of graphs like bipartite graphs, split graphs and complements of bipartite graphs. A graph is (s, k)-polar if there exists a pa...
Tinaz Ekim, Nadimpalli V. R. Mahadev, Dominique de...