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DM
2007
97views more  DM 2007»
15 years 4 months ago
Recognizing Cartesian products in linear time
We present an algorithm that determines the prime factors of connected graphs with respect to the Cartesian product in linear time and space. This improves a result of Aurenhammee...
Wilfried Imrich, Iztok Peterin
DM
2007
129views more  DM 2007»
15 years 4 months ago
3-Designs with block size 6 from PSL(2, q) and their large sets
We investigate the existence of 3-designs and uniform large sets of 3-designs with block size 6 admitting PSL(2, q) as an automorphism group. We show the existence of simple 3-(28...
G. R. Omidi, M. R. Pournaki, Behruz Tayfeh-Rezaie
DM
2007
93views more  DM 2007»
15 years 4 months ago
Small subgraphs of random regular graphs
The main aim of this short paper is to answer the following question. Given a fixed graph H, for which values of the degree d does a random d-regular graph on n vertices contain ...
Jeong Han Kim, Benny Sudakov, Van H. Vu
DM
2007
84views more  DM 2007»
15 years 4 months ago
The topology of spaces of phylogenetic trees with symmetry
Natural Dowling analogues of the complex of phylogenetic trees are studied. Using discrete Morse theory, we find their homotopy types. In the process, the homotopy types of certai...
Axel Hultman
DM
2007
112views more  DM 2007»
15 years 4 months ago
Affine blocking sets, three-dimensional codes and the Griesmer bound
We construct families of three-dimensional linear codes that attain the Griesmer bound and give a probablistic construction of linear codes that are close to the Griesmer bound. Al...
Simeon Ball, Elisa Montanucci