91 search results - page 9 / 19 » Vertices of given degree in series-parallel graphs |
COMBINATORICA
2006
13 years 7 months ago
2006
We prove that the out-distance sequence {f+ (k)} of a vertex-transitive digraph of finite or infinite degree satisfies f+ (k + 1) f+ (k)2 for k 1, where f+ (k) denotes the numbe...
GD
2004
Springer
14 years 1 months ago
2004
Springer
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...
ICALP
2011
Springer
12 years 11 months ago
2011
Springer
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
JGT
2008
13 years 7 months ago
2008
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...
AINA
2010
IEEE
14 years 12 days ago
2010
IEEE
—Symmetry breaking is a fundamental operation in distributed computing. It has applications to important problems such as graph vertex and edge coloring, maximal independent sets...