In this paper we obtain an upper bound and also a lower bound for maximum edges of strongly 2 multiplicative graphs of order n. Also we prove that triangular ladder the graph obtained by duplication of an arbitrary edge by a new vertex in path and the graphobtained by duplicating all vertices by new edges in a path and some other graphs are strongly 2 multiplicative

let $x$ be a reflexive banach space, $t:xto x$ be a nonexpansive mapping with $c=fix(t)neqemptyset$ and $f:xto x$ be $delta$-strongly accretive and $lambda$- strictly pseudocotractive with $delta+lambda>1$. in this paper, we present modified hybrid steepest-descent methods, involving sequential errors and functional errors with functions admitting a center, which generate convergent sequences t...

We introduce the concept of a strongly t-logarithmic t-generating set for a Z ˆ t, t ̃ -module, which enables us to prove that a large class of soluble groups are not almost convex. We also prove some results about dead-end depth.

The photoemission and magnetic properties of cuprate perovskites have been extensively studied during the last few years, both because of their unusual behaviour and in the hope that they might provide insight into the physical origin of high-temperature superconductivity. Among these properties the pseudogap observed in photoemission [1–3] and the magnetic pseudogap revealed in the static susc...

Let $X$ be a reflexive Banach space, $T:Xto X$ be a nonexpansive mapping with $C=Fix(T)neqemptyset$ and $F:Xto X$ be $delta$-strongly accretive and $lambda$- strictly pseudocotractive with $delta+lambda>1$. In this paper, we present modified hybrid steepest-descent methods, involving sequential errors and functional errors with functions admitting a center, which generate convergent sequences ...

We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix. This formula is a quantum analogue of the classical inverse scattering transform. It applies to fundamental spin chains, such as the XYZ chain, and to a number of important exactly solvable models of strongly correlated electrons, such as the super...

We derive a formula that expresses the local spin and field operators of fundamental graded models in terms of the elements of the monodromy matrix. This formula is a quantum analogue of the classical inverse scattering transform. It applies to fundamental spin chains, such as the XYZ chain, and to a number of important exactly solvable models of strongly correlated electrons, such as the super...

We present numerical calculations concerning the phenomenon of spin-charge separation in low-dimensional strongly correlated electron systems. Specifically, we study the t-J model on a flux-threaded ring connected to semi-infinite free-electron leads. The transmittance through such an Aharonov-Bohm ring shows an interference pattern with characteristic sharp dips at certain flux values, determi...