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» On cyclically orientable graphs
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GD
2004
Springer
14 years 1 months ago
Intersection Reverse Sequences and Geometric Applications
Pinchasi and Radoiˇci´c [11] used the following observation to bound the number of edges of a topological graph without a self-crossing cycle of length 4: if we make a list of t...
Adam Marcus, Gábor Tardos
COMBINATORICS
2002
111views more  COMBINATORICS 2002»
13 years 8 months ago
A Density Result for Random Sparse Oriented Graphs and its Relation to a Conjecture of Woodall
We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
Jair Donadelli, Yoshiharu Kohayakawa
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
SIROCCO
2008
13 years 9 months ago
On the Power of Local Orientations
We consider a network represented by a simple connected undirected graph with N anonymous nodes that have local orientations, i.e. incident edges of each vertex have locally-unique...
Monika Steinová
CORR
2012
Springer
173views Education» more  CORR 2012»
12 years 4 months ago
A new approach to the orientation of random hypergraphs
A h-uniform hypergraph H = (V, E) is called ( , k)-orientable if there exists an assignment of each hyperedge e ∈ E to exactly of its vertices v ∈ e such that no vertex is ass...
Marc Lelarge