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» A map colour theorem for the union of graphs
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JCT
2006
47views more  JCT 2006»
13 years 7 months ago
A map colour theorem for the union of graphs
Michael Stiebitz, Riste Skrekovski
COMBINATORICA
2011
12 years 7 months ago
A local criterion for Tverberg graphs
The topological Tverberg theorem states that for any prime power q and continuous map from a (d + 1)(q − 1)-simplex to Rd , there are q disjoint faces Fi of the simplex whose im...
Alexander Engström
APPML
2007
101views more  APPML 2007»
13 years 7 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
JCT
2011
115views more  JCT 2011»
13 years 2 months ago
Sharp thresholds for hypergraph regressive Ramsey numbers
The f-regressive Ramsey number Rreg f (d, n) is the minimum N such that every colouring of the d-tuples of an N-element set mapping each x1, . . . , xd to a colour ≤ f(x1) contai...
Lorenzo Carlucci, Gyesik Lee, Andreas Weiermann
JCT
2007
140views more  JCT 2007»
13 years 7 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