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» On the Maximum Degree of a Random Planar Graph
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DM
2008
78views more  DM 2008»
13 years 7 months ago
Planarization and fragmentability of some classes of graphs
The coefficient of fragmentability of a class of graphs measures the proportion of vertices that need to be removed from the graphs in the class in order to leave behind bounded s...
Keith Edwards, Graham Farr
FOCS
2004
IEEE
13 years 11 months ago
Randomly Coloring Constant Degree Graphs
We study a simple Markov chain, known as the Glauber dynamics, for generating a random k-coloring of a n-vertex graph with maximum degree . We prove that, for every > 0, the d...
Martin E. Dyer, Alan M. Frieze, Thomas P. Hayes, E...
PROPERTYTESTING
2010
13 years 5 months ago
On Constant Time Approximation of Parameters of Bounded Degree Graphs
How well can the maximum size of an independent set, or the minimum size of a dominating set of a graph in which all degrees are at most d be approximated by a randomized constant...
Noga Alon
ARSCOM
2004
124views more  ARSCOM 2004»
13 years 7 months ago
The Domatic Number of Regular Graphs
The domatic number of a graph G is the maximum number of dominating sets into which the vertex set of G can be partitioned. We show that the domatic number of a random r-regular g...
Peter Dankelmann, Neil J. Calkin
WG
2005
Springer
14 years 28 days ago
Channel Assignment and Improper Choosability of Graphs
Abstract. We model a problem proposed by Alcatel, a satellite building company, using improper colourings of graphs. The relation between improper colourings and maximum average de...
Frédéric Havet, Jean-Sébastie...