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» On the Grundy Number of a Graph
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DM
2008
103views more  DM 2008»
13 years 7 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 10 days 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
DM
2011
249views Education» more  DM 2011»
13 years 2 months ago
Acyclic vertex coloring of graphs of maximum degree 5
An acyclic vertex coloring of a graph is a proper vertex coloring such that there are no bichromatic cycles.  The acyclic chromatic number of G, denoted ...
Kishore Yadav, Satish Varagani, Kishore Kothapalli...
DAM
2010
92views more  DAM 2010»
13 years 7 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
DAM
2008
83views more  DAM 2008»
13 years 7 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev