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» Packing vertices and edges in random regular graphs
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CPC
2010
117views more  CPC 2010»
13 years 5 months ago
On the Number of Perfect Matchings in Random Lifts
Let G be a fixed connected multigraph with no loops. A random n-lift of G is obtained by replacing each vertex of G by a set of n vertices (where these sets are pairwise disjoint)...
Catherine S. Greenhill, Svante Janson, Andrzej Ruc...
JGT
2007
146views more  JGT 2007»
13 years 7 months ago
Compatible circuit decompositions of 4-regular graphs
A transition system T of an Eulerian graph G is a family of partitions of the edges incident to each vertex of G into transitions i.e. subsets of size two. A circuit decomposition...
Herbert Fleischner, François Genest, Bill J...
IM
2007
13 years 7 months ago
Infinite Limits and Adjacency Properties of a Generalized Copying Model
We present a new model for self-organizing networks such as the web graph, and analyze its limit behaviour. In the model, new vertices are introduced over time that copy the neighb...
Anthony Bonato, Jeannette C. M. Janssen
RSA
2002
81views more  RSA 2002»
13 years 7 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
COMBINATORICA
2010
13 years 5 months ago
Online vertex-coloring games in random graphs
Consider the following one-player game. The vertices of a random graph on n vertices are revealed to the player one by one. In each step, also all edges connecting the newly reveal...
Martin Marciniszyn, Reto Spöhel