We show that a necessary and sufficient condition for the existence of a Kp ,2q factorization of the symmetric complete tripartite digraph K~1,n2,n3 is (i) ni = n2 = n3 == 0 (mod p) for p = q, (ii) ni = n2 = n3 == 0 (mod dp'q'(p' + 2q')) for p =Iq and p' odd, (iii) ni = n2 = n3 == 0 (mod dp'q'(p' + 2q')/2) for p =Iq and p' even, where d = (p, q), p' = p/d, q' = q/d.

OBJECTIVE The National Institute on Alcohol Abuse and Alcoholism (NIAAA) has developed a two-question tool for the detection of unhealthy drinking (NIAAA-2Q) that investigates excessive alcohol consumption per single occasion. NIAAA-2Q can be commuted into a four-question tool (NIAAA-4Q) by the addition of two questions aimed at investigating excessive weekly alcohol intake. NIAAA-2Q and NIAAA-...

We evaluated the role of interleukin-6 (IL-6) in neuronal injury after CNS infection. IL-6-/- and IL-6+/+ mice of resistant major histocompatibility complex (MHC) H-2b haplotype intracerebrally infected with Theiler's virus cleared the infection normally without development of viral persistence, lethal neuronal infection, or late phase demyelination. In contrast, infection of IL-6-/- mice on a ...

We study a d-dimensional system of diffusing particles that on contact either annihilate with probability 1/(q-1) or coagulate with probability (q-2)/(q-1). In one dimension, the system models the zero-temperature Glauber dynamics of domain walls in the q-state Potts model. We calculate P(m,t), the probability that a randomly chosen lattice site contains a particle whose ancestors have undergon...

gastrointestinal duplications are rare congenital malformations and they may vary greatly in presentation, size, location and symptoms. the presence of ectopic gastric mucosa (egm) in them is not common and they are difficult to diagnose prior to surgery. we present the case of a child with long intestinal duplication with ectopic gastric mucosa who presented with just severe anaemia and delaye...

The main of this study  “was there any significant effect on the Second semester students’ reading comprehension achievement after being taught by using Bilingual Story Book and those who are not? population was second PGSD Study Program FKIP University PGRI Palembang in academic year 2019/2020. total number 120 students, sample consisted 36 students 2O 2Q. method research experimental dat...

Suppose every vertex of a graph G has degree k or k + 1 and at least one vertex has degree k + 1. It is shown that if k > 2q 2 and q is a prime power then G contains a q-regular subgraph (and hence an r-regular subgraph for all r < q. r = q (mod 2)). It is also proved that every simple graph with maximal degree A > 2q 2 and average degree d > ((2q 2)/(2q l))(A + 1), where q is a prime power, co...

In this paper, we define duplication corona, duplication neighborhood corona and duplication edge corona of two graphs. We compute their adjacency spectrum, Laplacian spectrum and signless Laplacian. As an application, our results enable us to construct infinitely many pairs of cospectral graphs and also integral graphs.

In this paper we introduce a new type of labeling known as even vertex odd mean labeling. A graph G with p vertices and q edges is said to have an even vertex odd mean labeling if there exists an injective function f : V (G) → {0, 2, 4, . . . , 2q−2, 2q} such that the induced map f∗ : E(G) → {1, 3, 5, . . . , 2q− 1} defined by f∗(uv) = f(u)+f(v) 2 is a bijection. A graph that admits an even ver...