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» On the combinatorics of Galois numbers
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COMBINATORICS
2007
90views more  COMBINATORICS 2007»
15 years 6 months ago
Distinguishability of Locally Finite Trees
The distinguishing number ∆(X) of a graph X is the least positive integer n for which there exists a function f : V (X) → {0, 1, 2, · · · , n−1} such that no nonidentity ...
Mark E. Watkins, Xiangqian Zhou
DAM
2007
153views more  DAM 2007»
15 years 6 months ago
Computing the minimum number of hybridization events for a consistent evolutionary history
It is now well-documented that the structure of evolutionary relationships between a set of present-day species is not necessarily tree-like. The reason for this is that reticulat...
Magnus Bordewich, Charles Semple
COMPGEOM
2004
ACM
16 years 6 days ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
COMBINATORICS
2006
118views more  COMBINATORICS 2006»
15 years 6 months ago
Noncrossing Trees and Noncrossing Graphs
We give a parity reversing involution on noncrossing trees that leads to a combinatorial interpretation of a formula on noncrossing trees and symmetric ternary trees in answer to a...
William Y. C. Chen, Sherry H. F. Yan
COMBINATORICS
2006
183views more  COMBINATORICS 2006»
15 years 6 months ago
On Oriented Arc-Coloring of Subcubic Graphs
A homomorphism from an oriented graph G to an oriented graph H is a mapping from the set of vertices of G to the set of vertices of H such that -----(u)(v) is an arc in H whenever...
Alexandre Pinlou