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DAGSTUHL
2007
13 years 9 months ago
Measuring Ranks via the Complete Laws of Iterated Contraction
: Ranking theory delivers an account of iterated contraction; each ranking function induces a specific iterated contraction behavior. The paper gives a complete axiomatization of t...
Wolfgang Spohn
COMBINATORICS
2006
102views more  COMBINATORICS 2006»
13 years 8 months ago
Identifying X-Trees with Few Characters
Previous work has shown the perhaps surprising result that, for any binary phylogenetic tree T , there is a set of four characters that define T . Here we deal with the general ca...
Magnus Bordewich, Charles Semple, Mike A. Steel
COMBINATORICS
2006
153views more  COMBINATORICS 2006»
13 years 8 months ago
The Absence of Efficient Dual Pairs of Spanning Trees in Planar Graphs
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T in the dual graph G such that T and T do not intersect. We show that it is not always poss...
T. R. Riley, William P. Thurston
JCT
2010
101views more  JCT 2010»
13 years 6 months ago
Asymptotically optimal frugal colouring
We prove that every graph with maximum degree ∆ can be properly (∆ + 1)coloured so that no colour appears more than O(log ∆/ log log ∆) times in the neighbourhood of any v...
Michael Molloy, Bruce A. Reed
RECOMB
1997
Springer
14 years 6 days ago
A more efficient approximation scheme for tree alignment
We present a new polynomial time approximation scheme (PTAS) for tree alignment, which is an important variant of multiple sequence alignment. As in the existing PTASs in the liter...
Lusheng Wang, Tao Jiang, Dan Gusfield