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CPC
2010
117views more  CPC 2010»
13 years 6 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
2008
91views more  JGT 2008»
13 years 9 months ago
On the editing distance of graphs
An edge-operation on a graph G is defined to be either the deletion of an existing edge or the addition of a nonexisting edge. Given a family of graphs G, the editing distance fro...
Maria Axenovich, André E. Kézdy, Rya...
DM
2008
103views more  DM 2008»
13 years 9 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...
TAMC
2009
Springer
14 years 1 months ago
Feasibility of Motion Planning on Directed Graphs
Because of irreversibility of movements, motion planning on directed graphs is much more intricate than that on graphs. Recently we showed that the feasibility of motion planning o...
Zhilin Wu, Stéphane Grumbach
DAM
2010
92views more  DAM 2010»
13 years 9 months ago
Enumeration of matchings in families of self-similar graphs
The number of matchings of a graph G is an important graph parameter in various contexts, notably in statistical physics (dimer-monomer model). Following recent research on graph p...
Elmar Teufl, Stephan Wagner