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APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
14 years 11 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...
DM
2008
103views more  DM 2008»
14 years 10 months ago
Improper colouring of (random) unit disk graphs
For any graph G, the k-improper chromatic number k (G) is the smallest number of colours used in a colouring of G such that each colour class induces a subgraph of maximum degree ...
Ross J. Kang, Tobias Müller, Jean-Séba...
DM
2007
93views more  DM 2007»
14 years 9 months ago
Small subgraphs of random regular graphs
The main aim of this short paper is to answer the following question. Given a fixed graph H, for which values of the degree d does a random d-regular graph on n vertices contain ...
Jeong Han Kim, Benny Sudakov, Van H. Vu
COMBINATORICS
2002
136views more  COMBINATORICS 2002»
14 years 9 months ago
Minimum Connected Dominating Sets of Random Cubic Graphs
We present a simple heuristic for finding a small connected dominating set of cubic graphs. The average-case performance of this heuristic, which is a randomised greedy algorithm,...
William Duckworth
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
13 years 9 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge