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DM
2008
103views more  DM 2008»
13 years 10 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...
IPL
2006
72views more  IPL 2006»
13 years 10 months ago
Structure and linear time recognition of 3-leaf powers
A graph G is the k-leaf power of a tree T if its vertices are leaves of T such that two vertices are adjacent in G if and only if their distance in T is at most k. Then T is the k...
Andreas Brandstädt, Van Bang Le
GC
2007
Springer
13 years 10 months ago
Subdivision Extendibility
Let H be a multigraph and G a graph containing a subgraph isomorphic to a subdivision of H, with S ⊂ V (G) (the ground set) the image of V (H) under the isomorphism. We consider...
Ronald J. Gould, Thor Whalen
BMCBI
2010
95views more  BMCBI 2010»
13 years 10 months ago
Spatio-structural granularity of biological material entities
Background: With the continuously increasing demands on knowledge- and data-management that databases have to meet, ontologies and the theories of granularity they use become more...
Lars Vogt
GD
2007
Springer
14 years 4 months ago
Crossing Numbers and Parameterized Complexity
The odd crossing number of G is the smallest number of pairs of edges that cross an odd number of times in any drawing of G. We show that there always is a drawing realizing the o...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...