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DM
2007
59views more  DM 2007»
13 years 7 months ago
Non-existence of nonorientable regular embeddings of n-dimensional cubes
By a regular embedding of a graph K into a surface we mean a 2-cell embedding of K into a compact connected surface with the automorphism group acting regularly on flags. Regular...
Young Soo Kwon, Roman Nedela
EJC
2007
13 years 7 months ago
The homology of the cycle matroid of a coned graph
The cone ˆG of a finite graph G is obtained by adding a new vertex p, called the cone point, and joining each vertex of G to p by a simple edge. We show that the rank of the red...
Woong Kook
FOCS
2005
IEEE
14 years 1 months ago
Algorithmic Graph Minor Theory: Decomposition, Approximation, and Coloring
At the core of the seminal Graph Minor Theory of Robertson and Seymour is a powerful structural theorem capturing the structure of graphs excluding a fixed minor. This result is ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Ken-ic...
IWOCA
2009
Springer
160views Algorithms» more  IWOCA 2009»
14 years 5 days ago
Note on Decomposition of Kn, n into (0, j)-prisms
R. H¨aggkvist proved that every 3-regular bipartite graph of order 2n with no component isomorphic to the Heawood graph decomposes the complete bipartite graph K6n,6n. In [2] the ...
Sylwia Cichacz, Dalibor Froncek, Petr Kovár
WG
1998
Springer
13 years 11 months ago
Linear Time Solvable Optimization Problems on Graphs of Bounded Clique Width
Hierarchical decompositions of graphs are interesting for algorithmic purposes. There are several types of hierarchical decompositions. Tree decompositions are the best known ones....
Bruno Courcelle, Johann A. Makowsky, Udi Rotics