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» On the combinatorics of Galois numbers
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COMBINATORICS
2007
90views more  COMBINATORICS 2007»
14 years 11 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»
14 years 11 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
15 years 5 months 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»
14 years 12 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»
14 years 12 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