A Nordhaus-Gaddum problem for a graph parameter is to determine a tight lower or upper bound for the sum or product of the parameter evaluated on a graph and on its complement. This article surveys Nordhaus-Gaddum results for the Colin de Verdière type parameters μ,ν , and ξ ; tree-width and its variants largeur d’arborescence, path-width, and proper path-width; and minor monotone ceilings of v...

Kaiser Permanente (KP) has a long-standing commitment to conduct research and report publicly. Simultaneously, it faces a different imperative: harnessing information systems to leverage internal improvements in outcomes, efficiency, and costs. Now that KP HealthConnect, the KP electronic health record, is fully implemented, research challenges at KP are moving away from issues of data access a...

A sequence S is potentially Km−Pk graphical if it has a realization containing a Km −Pk as a subgraph. Let σ(Km −Pk, n) denote the smallest degree sum such that every n-term graphical sequence S with σ(S) ≥ σ(Km−Pk, n) is potentially Km−Pk graphical. In this paper, we prove that σ(Km−Pk, n) ≥ (2m−6)n−(m−3)(m−2)+2, for n ≥ m ≥ k + 1 ≥ 4. We conjectured that equality holds for n ≥ m ≥ k + 1 ≥ 4. ...

Projection matrices from projective spaces P3 to P2 have long been used in multiple-view geometry to model the perspective projection created by the pin-hole camera. In this work we introduce higher-dimensional mappings Pk →P2, k = 3, 4, 5, 6 for the representation of various applications in which the world we view is no longer rigid. We also describe the multi-view constraints from these new p...

In this paper, the parameters of the LTE system in DL are investigated. These parameters include the effect of the Hybrid Adaptive Repeat and Request henceforth (HARQ) on the Signal to Noise Ratio (SNR), Block Error Rate (BLER), and throughput. The paper deals with three cases of Channel Quality Indicator (CQI): 3,7 and 15.The results showed that the HARQ procedure can improve the BLER and the ...

The reactions pp → pΛK+ and pp → pΣ0K+ are studied near their thresholds. The strangeness production process is described by the πand K exchange mechanisms. Effects from the final state interaction in the hyperon-nucleon system are taken into account rigorously. It is found that the Λ production is dominated by K exchange whereas Kas well as π exchange play an important role for the Σ0 case. It...

A new neurotransmitter system is a family of 3 related peptides known as neurokinins. The best known of these is substance P. The others are known simply as neurokinin A and neurokinin B. The specific receptor subtypes that correspond to these 3 neurokinins are neurokinin 1 receptors for substance P, neurokinin 2 receptors for neurokinin A, and neurokinin 3 receptors for neurokinin B. These neu...