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» Sinks in Acyclic Orientations of Graphs
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JCT
2000
53views more  JCT 2000»
13 years 8 months ago
Sinks in Acyclic Orientations of Graphs
David D. Gebhard, Bruce E. Sagan
CORR
2008
Springer
120views Education» more  CORR 2008»
13 years 8 months ago
Menger's Paths with Minimum Mergings
For an acyclic directed graph with multiple sources and multiple sinks, we prove that one can choose the Menger's paths between the sources and the sinks such that the number...
Guangyue Han
CORR
2010
Springer
114views Education» more  CORR 2010»
13 years 2 months ago
Counting Unique-Sink Orientations
Unique-sink orientations (USOs) are an abstract class of orientations of the ncube graph. We consider some classes of USOs that are of interest in connection with the linear compl...
Jan Foniok, Bernd Gärtner, Lorenz Klaus, Mark...
IPL
2008
82views more  IPL 2008»
13 years 8 months ago
On fully orientability of 2-degenerate graphs
Suppose that D is an acyclic orientation of the graph G. An arc of D is dependent if its reversal creates a directed cycle. Let d(D) denote the number of dependent arcs in D. Defi...
Hsin-Hao Lai, Gerard J. Chang, Ko-Wei Lih
DCG
2000
84views more  DCG 2000»
13 years 8 months ago
Convex and Linear Orientations of Polytopal Graphs
This paper examines directed graphs related to convex polytopes. For each fixed d-polytope and any acyclic orientation of its graph, we prove there exist both convex and concave fu...
J. Mihalisin, Victor Klee