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» A Ramsey-type result for the hypercube
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GC
2002
Springer
13 years 4 months ago
Ramsey-Type Results for Unions of Comparability Graphs
Given a graph on n vertices which is the union of two comparability graphs on the same vertex set, it always contains a clique or independent set of size n 1 3 . On the other hand...
Adrian Dumitrescu, Géza Tóth
SIAMDM
2008
118views more  SIAMDM 2008»
13 years 4 months ago
Ramsey-Type Problem for an Almost Monochromatic K4
In this short note we prove that there is a constant c such that every k-edge-coloring of the complete graph Kn with n 2ck contains a K4 whose edges receive at most two colors. Th...
Jacob Fox, Benny Sudakov
IPPS
2007
IEEE
13 years 11 months ago
Performance Modelling of Necklace Hypercubes
The necklace hypercube has recently been introduced as an attractive alternative to the well-known hypercube. Previous research on this network topology has mainly focused on topo...
Sina Meraji, Hamid Sarbazi-Azad, Ahmad Patooghy
DAM
1998
92views more  DAM 1998»
13 years 4 months ago
Embedding ladders and caterpillars into the hypercube
We present embeddings of generalized ladders as subgraphs into the hypercube. By embedding caterpillars into ladders, we obtain embeddings of caterpillars into the hypercube. In t...
Sergei L. Bezrukov, Burkhard Monien, Walter Unger,...
EJC
2010
13 years 5 months ago
Dualities in full homomorphisms
Abstract. In this paper we study dualities of graphs and, more generally, relational structures with respect to full homomorphisms, that is, mappings that are both edge- and non-ed...
Richard N. Ball, Jaroslav Nesetril, Ales Pultr