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SIAMDM
2010
84views more  SIAMDM 2010»
14 years 10 months ago
Complementary Iterated Floor Words and the Flora Game
Let ϕ = (1 + √ 5)/2 denote the golden section. We investigate relationships between unbounded iterations of the floor function applied to various combinations of ϕ and ϕ2. We...
Aviezri S. Fraenkel
117
Voted
SIAMDM
2010
140views more  SIAMDM 2010»
14 years 10 months ago
Retractions to Pseudoforests
For a fixed graph H, let Ret(H) denote the problem of deciding whether a given input graph is retractable to H. We classify the complexity of Ret(H) when H is a graph (with loops ...
Tomás Feder, Pavol Hell, Peter Jonsson, And...
114
Voted
SIAMDM
2010
130views more  SIAMDM 2010»
14 years 10 months ago
On the Hull Number of Triangle-Free Graphs
A set of vertices C in a graph is convex if it contains all vertices which lie on shortest paths between vertices in C. The convex hull of a set of vertices S is the smallest conve...
Mitre Costa Dourado, Fábio Protti, Dieter R...
SIAMDM
2010
128views more  SIAMDM 2010»
14 years 10 months ago
Permutation Capacities of Families of Oriented Infinite Paths
K¨orner and Malvenuto asked whether one can find n n/2 linear orderings (i.e., permutations) of the first n natural numbers such that any pair of them places two consecutive int...
Graham Brightwell, Gérard D. Cohen, Emanuel...
87
Voted
SIAMDM
2010
133views more  SIAMDM 2010»
14 years 10 months ago
Drop Cost and Wavelength Optimal Two-Period Grooming with Ratio 4
We study grooming for two-period optical networks, a variation of the traffic grooming problem for WDM ring networks introduced by Colbourn, Quattrocchi, and Syrotiuk. In the two-...
Jean-Claude Bermond, Charles J. Colbourn, Lucia Gi...