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5 papers · 1 filter
Minimum Cost Homomorphisms to Semicomplete Multipartite Digraphs
G. Gutin, A. Rafiey, A. Yeo
For digraphs and , a mapping $f: V(D)\dom V(H)$ is a {\em homomorphism of to } if implies For a fixed directed or undirected graph $H…
K3 surfaces with Picard number one and infinitely many rational points
Ronald van Luijk
In general, not much is known about the arithmetic of K3 surfaces. Once the geometric Picard number, which is the rank of the Neron-Severi group over an algebraic closure of the ba…
Colourful Simplicial Depth
Antoine Deza, Sui Huang, Tamon Stephen +1
Inspired by Barany's colourful Caratheodory theorem, we introduce a colourful generalization of Liu's simplicial depth. We prove a parity property and conjecture that the minimum c…
Screening in anisotropic superfluids and the superfluid density in underdoped cuprates
Matthew J. Case, Igor F. Herbut
We examine the nature of the collective excitations in a strongly anisotropic system of bosons interacting via Coulomb interaction. Such a system has often been used in the past to…
Generalizations of Goncalves' inequality
Peter Borwein, Michael J. Mossinghoff, Jeffrey D. Vaaler
If is a polynomial with complex coefficients, leading term , and roots , ..., , then Gonçalves' inequality states that is bounded below by $\abs{a_N}…