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» Vertices of Degree k in Random Maps
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JGT
2008
97views more  JGT 2008»
13 years 6 months ago
On the oriented chromatic index of oriented graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that ----(u)(v) is an arc in H whenever...
Pascal Ochem, Alexandre Pinlou, Eric Sopena
GD
2004
Springer
13 years 11 months ago
Drawing Power Law Graphs
It has been noted that many realistic graphs have a power law degree distribution and exhibit the small world phenomenon. We present drawing methods influenced by recent developm...
Reid Andersen, Fan R. K. Chung, Lincoln Lu
GC
2007
Springer
13 years 6 months ago
Local Topological Toughness and Local Factors
We localize and strengthen Katona’s idea of an edge-toughness to a local topological toughness. We disprove a conjecture of Katona concerning the connection between edgetoughnes...
Frank Göring, Gyula Y. Katona
JCSS
2011
95views more  JCSS 2011»
13 years 1 months ago
Hardness results for approximating the bandwidth
The bandwidth of an n-vertex graph G is the minimum value b such that the vertices of G can be mapped to distinct integer points on a line without any edge being stretched to a di...
Chandan K. Dubey, Uriel Feige, Walter Unger
WAOA
2005
Springer
142views Algorithms» more  WAOA 2005»
13 years 11 months ago
On the Minimum Load Coloring Problem
Given a graph G = (V, E) with n vertices, m edges and maximum vertex degree ∆, the load distribution of a coloring ϕ : V → {red, blue} is a pair dϕ = (rϕ, bϕ), where rϕ i...
Nitin Ahuja, Andreas Baltz, Benjamin Doerr, Ales P...