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» On the Grundy Number of a Graph
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IM
2007
13 years 10 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
CORR
2010
Springer
92views Education» more  CORR 2010»
13 years 10 months ago
On Packing Colorings of Distance Graphs
The packing chromatic number (G) of a graph G is the least integer k for which there exists a mapping f from V (G) to {1, 2, . . ., k} such that any two vertices of color i
Olivier Togni
DM
2000
91views more  DM 2000»
13 years 10 months ago
Perfection thickness of graphs
We determine the order of growth of the worst-case number of perfect subgraphs needed to cover an n-vertex graph.
Hirotsugu Asari, Tao Jiang, André Künd...
ALGORITHMICA
2006
100views more  ALGORITHMICA 2006»
13 years 10 months ago
Error Compensation in Leaf Power Problems
The k-Leaf Power recognition problem is a particular case of graph power problems: For a given graph it asks whether there exists an unrooted tree--the k-leaf root--with leaves on...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
MFCS
2009
Springer
14 years 4 months ago
The Longest Path Problem Is Polynomial on Interval Graphs
The longest path problem is the problem of finding a path of maximum length in a graph. Polynomial solutions for this problem are known only for small classes of graphs, while it ...
Kyriaki Ioannidou, George B. Mertzios, Stavros D. ...