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GC
2010
Springer
13 years 7 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
GC
2010
Springer
13 years 7 months ago
Polyhedral Suspensions of Arbitrary Genus
A new class of polyhedra is discovered—bipyramids of arbitrarily prescribed genus. A two-dimensional generalization of Fáry’s Theorem is established. A purely combinatorial de...
Serge Lawrencenko
ICTAC
2010
Springer
13 years 7 months ago
Formal Modelling of Separation Kernel Components
Abstract. Separation kernels are key components in embedded applications. Their small size and widespread use in high-integrity environments make them good targets for formal model...
Andrius Velykis, Leo Freitas
JMIV
2010
87views more  JMIV 2010»
13 years 7 months ago
Infinite Photography: New Mathematical Model for High-Resolution Images
A new mathematical image model is introduced using the photographic process as the starting point. Images are represented as infinite sequences of photons allowing analysis at arb...
Tapio Helin, Matti Lassas, Samuli Siltanen
CORR
2010
Springer
179views Education» more  CORR 2010»
13 years 6 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...