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JCT
2007
82views more  JCT 2007»
14 years 9 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 4 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 9 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 9 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 9 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...