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APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
13 years 7 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 5 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 11 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 7 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»
13 years 7 days ago
Hamilton Cycles in Random Graphs with a Fixed Degree Sequence
Let d = d1 d2
Colin Cooper, Alan M. Frieze, Michael Krivelevich