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» On the chromatic number of an oriented matroid
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CPC
2006
45views more  CPC 2006»
13 years 8 months ago
Balanced Signings and the Chromatic Number of Oriented Matroids
Luis A. Goddyn, Petr Hlinený, Winfried Hoch...
JCT
2008
63views more  JCT 2008»
13 years 8 months ago
On the chromatic number of an oriented matroid
Winfried Hochstättler, Robert Nickel
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 8 months ago
Upper oriented chromatic number of undirected graphs and oriented colorings of product graphs
The oriented chromatic number of an oriented graph G is the minimum order of an oriented graph H such that G admits a homomorphism to H. The oriented chromatic number of an undire...
Eric Sopena
EJC
2006
13 years 8 months ago
Antisymmetric flows in matroids
We present a seemingly new definition of flows and flow numbers for oriented matroids and prove that the flow number L and the antisymmetric flow number Las of an oriented matroid...
Winfried Hochstättler, Jaroslav Nesetril
IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
14 years 3 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian