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» Vertices of given degree in series-parallel graphs
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CCCG
2009
13 years 8 months ago
Bold Graph Drawings
When a graph is drawn in a classical manner, its vertices are shown as small disks and its edges with a positive width; zero-width edges exist only in theory. Let r denote the rad...
Marc J. van Kreveld
CSL
2005
Springer
14 years 1 months ago
The Modular Decomposition of Countable Graphs: Constructions in Monadic Second-Order Logic
We show that the modular decomposition of a countable graph can be defined from this graph, given with an enumeration of its set of vertices, by formulas of Monadic Second-Order l...
Bruno Courcelle, Christian Delhommé
CAAN
2007
Springer
14 years 1 months ago
Vertex Pursuit Games in Stochastic Network Models
Abstract. Random graphs with given expected degrees G(w) were introduced by Chung and Lu so as to extend the theory of classical G(n, p) random graphs to include random power law g...
Anthony Bonato, Pawel Pralat, Changping Wang
ESA
2006
Springer
134views Algorithms» more  ESA 2006»
13 years 11 months ago
Graph Coloring with Rejection
We consider the following vertex coloring problem. We are given an undirected graph G = (V, E), where each vertex v is associated with a penalty rejection cost rv. We need to choos...
Leah Epstein, Asaf Levin, Gerhard J. Woeginger
SODA
2008
ACM
70views Algorithms» more  SODA 2008»
13 years 9 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo