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SIAMCOMP
2010
100views more  SIAMCOMP 2010»
13 years 3 months ago
Algorithmic Enumeration of Ideal Classes for Quaternion Orders
We provide algorithms to count and enumerate representatives of the (right) ideal classes of an Eichler order in a quaternion algebra defined over a number field. We analyze the ...
Markus Kirschmer, John Voight
DAM
2011
13 years 7 days ago
Weak sense of direction labelings and graph embeddings
An edge-labeling λ for a directed graph G has a weak sense of direction (WSD) if there is a function f that satisfies the condition that for any node u and for any two label seq...
Christine T. Cheng, Ichiro Suzuki
DIAGRAMS
2010
Springer
13 years 5 months ago
Fragments of Spider Diagrams of Order and Their Relative Expressiveness
Abstract. Investigating the expressiveness of a diagrammatic logic provides insight into how its syntactic elements interact at the semantic level. Moreover, it allows for comparis...
Aidan Delaney, Gem Stapleton, John Taylor, Simon J...
CORR
2010
Springer
82views Education» more  CORR 2010»
13 years 2 months ago
Computing (or not) Quasi-Periodicity Functions of Tilings
Abstract. We know that tilesets that can tile the plane always admit a quasiperiodic tiling [4, 8], yet they hold many uncomputable properties [3, 11, 21, 25]. The quasi-periodicit...
Alexis Ballier, Emmanuel Jeandel