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DM
2008
103views more  DM 2008»
15 years 6 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»
15 years 6 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
15 years 6 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»
15 years 6 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
16 years 18 days 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...