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APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
13 years 6 months ago
On the Degree Sequences of Random Outerplanar and Series-Parallel Graphs
In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...
COMBINATORICS
2006
114views more  COMBINATORICS 2006»
13 years 4 months ago
Total 4-Choosability of Series-Parallel Graphs
It is proved that, if G is a K4-minor-free graph with maximum degree 3, then G is totally 4-choosable; that is, if every element (vertex or edge) of G is assigned a list of 4 colo...
Douglas R. Woodall
ISAAC
2005
Springer
131views Algorithms» more  ISAAC 2005»
13 years 10 months ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
Xiao Zhou, Takao Nishizeki
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
13 years 6 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
SIAMDM
2010
102views more  SIAMDM 2010»
12 years 11 months ago
Hamilton Cycles in Random Graphs with a Fixed Degree Sequence
Let d = d1 d2
Colin Cooper, Alan M. Frieze, Michael Krivelevich