BACKGROUND We performed human immunodeficiency virus type 1 (HIV-1) transmitted/founder (T/F) virus analysis of the VAX003 vaccine efficacy trial participants to characterize the transmission bottleneck and test for vaccine-associated reduction or enhancement of infection in this injection drug user (IDU) cohort. METHODS We performed single genome sequencing of plasma vRNA from 50 subjects sa...

We present a parallelized bijective graph matching algorithm that leverages seeds and is designed to match very large graphs. Our algorithm combines spectral graph embedding with existing state-of-the-art seeded graph matching procedures. We justify our approach by proving that modestly correlated, large stochastic block model random graphs are correctly matched utilizing very few seeds through...

An edge-ordered graph is an ordered pair (G, f), where G = G(V,E) is a graph and f is a bijective function, f : E(G) → {1, 2, ..., |E(G)|}. f is called an edge ordering of G. A monotone path of length k in (G, f) is a simple path Pk+1 : v1, v2..., vk+1 in G such that either, f((vi, vi+1)) < f((vi+1, vi+2)) or f((vi, vi+1)) > f((vi+1, vi+2)) for i = 1, 2, ..., k − 1. Given an undirected graph G,...

[1] Using data from the charged particle telescopes on V1 and V2 we have followed the progress of a large interplanetary shock as it passes V2 at a distance of 79 AU at about 2006.16, then later crosses the heliospheric termination shock finally reaching V1 at a distance 100 AU. A decrease 15% is observed in the V2 >70 MeV rate starting at 2006.19 and three smaller decreases starting at 2006.29...

Ubiquitously eXpressed Transcript isoform 2 (UXTV2) is a prefoldin-like protein involved in NF-?B signaling, apoptosis, and the androgen estrogen response. UXT-V2 cofactor transcriptional enhanceosome, its knockdown inhibits TNF-? -induced activation. Fbxo7 an F-box that interacts with SKP1, Cullin1 RBX1 proteins to form SCF(Fbxo7) E3 ubiquitin ligase complex. negatively regulates signaling thr...

A Roman dominating function (RDF) on a graph G is a function f : V (G) → {0, 1, 2} satisfying the condition that every vertex v for which f(v) = 0, is adjacent to at least one vertex u for which f(u) = 2. The weight of a Roman dominating function f is the value f(V (G)) = ∑ v∈V (G) f(v). The Roman domination number of G, denoted by γR(G), is the minimum weight of an RDF on G. For a given graph,...

Fundamental to many applications in data analysis are the decompositions of a graph, i.e. partitions node set into component-inducing subsets. One way encoding is by multicuts, subsets those edges that straddle distinct components. Recently, lifting multicuts from graph G=(V,E) an augmented Ĝ=(V,E∪F) has been proposed field image analysis, with goal obtaining more expressive characterization wh...

For every 1 ≤ i ≤ n, let Ti be a rooted star with root vi, where vi is not necessary to be its center. Then the union F = T1 ∪T2 ∪ . . .∪ Tn is called a rooted star forest with roots v1, v2, . . . , vn. Let P be a set of |F | points in the plane in general position containing n specified points p1, p2, . . . , pn, where |F | denotes the order of F . Then we show that there exists a bijection φ ...