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a graph of size n is said to be graceful when is possible toassign distinct integers from {0, 1, . . . , n} to its verticesand {|f(u)−f(v)| : uv ∈ e(g)} consists of n integers. inthis paper we present broader families of graceful graphs; these families are obtained via three different operations: the third power of a caterpillar, the symmetric product of g and k2 , and the disjoint :union: of g...

abstract let ‎g=(v,e) ‎be a‎ ‎simple ‎connected ‎graph ‎with ‎vertex ‎set ‎v‎‎‎ ‎and ‎edge ‎set ‎‎‎e. ‎the szeged index ‎of ‎‎g is defined by ‎ where ‎ respectively ‎ ‎ is the number of vertices of ‎g ‎closer to ‎u‎ (‎‎respectively v)‎ ‎‎than ‎‎‎v (‎‎respectively u‎).‎ ‎‎if ‎‎‎‎s ‎is a‎ ‎set ‎of ‎size‎ ‎ ‎ ‎let ‎‎v ‎be ‎the ‎set ‎of ‎all ‎subsets ‎of ‎‎s ‎of ‎size ‎3. ‎then ‎we ‎define ‎three ‎...

g-frames in hilbert spaces are a redundant set of operators which yield a repre-sentation for each vector in the space. in this paper we investigate the connection betweeng-frames, g-orthonormal bases and g-riesz bases. we show that a family of bounded opera-tors is a g-bessel sequences if and only if the gram matrix associated to its de nes a boundedoperator.

Let G be a finite group, and X a subset of G. The Cayley graph of G with respect to X , written Cay(G,X) has two different definitions in the literature. The vertex set of this graph is the group G. In one definition, there is an arc from g to xg for all g ∈ G and x ∈ X ; in the other definition, for the same pairs (g,x), there is an arc from g to gx. Cayley graphs are generalised by coset grap...

An edge coloring of a graph is a function assigning colors to edges so that incident edges acquire distinct colors. The least number of colors su'cient for an edge coloring of a graph G is called its chromatic index and denoted by ′(G). Let (G) be the maximal degree of G; if ′(G) = (G), then G is said to belong to class 1, and otherwise G is said to belong to class 2. A total coloring of a grap...

OBJECTIVES To describe the immunological responses and clinical outcome of coronavirus (SARS) infected healthcare workers (HCW) who had been administered with convalescent plasma as a treatment. METHODS Convalescent plasma (500 mL) was obtained from each of three SARS patients and transfused into the three infected HCW. Donors were blood type O and seronegative for hepatitis B and C, HIV, syp...

Evaluation of Type 1 Immune Response in Naïve and Vaccinated Animals following Challenge with Leptospira borgpetersenii Serovar Hardjo: Involvement of WC1 and CD4 T Cells Brian M. Naiman, Seth Blumerman, David Alt, Carole A. Bolin, Rachel Brown, Richard Zuerner, and Cynthia L. Baldwin* Department of Veterinary and Animal Sciences, University of Massachusetts, Amherst, Massachusetts 01003; Bacte...

The large antigenic diversity (over 2,300 serotypes) expressed by SalmoneUla strains can probably be observed at the genetic level. The phase 1 flagellin gene fliC was amplified, and the amplified fragment was cleaved with a mixture of both endonucleases TaqI and ScaI. The restriction patterns observed allowed differentiation of flagellar types b, i, d, j, l,v, and z1o. Flagellar group g (g,m, ...