Let [n]∗ denote the set of integers {−n−1 2 , . . . , n−1 2 } if n is odd, and {−n 2 , . . . , n 2 } \ {0} if n is even. A super edge-graceful labeling f of a graph G of order p and size q is a bijection f : E(G) → [q]∗, such that the induced vertex labeling f ∗ given by f ∗(u) = ∑ uv E(G) f(uv) is a bijection f ∗ : V (G) → [p]∗. A graph is super edge-graceful if it has a super edge-graceful la...

Abstract : In this paper we introduced the concept of complementary super edge magic labeling and Complementary Super Edge Magic strength of a graph G.A graph G (V, E ) is said to be complementary super edge magic if there exist a bijection f:V U E → { 1, 2, ............p+q } such that p+q+1 f(x) is constant. Such a labeling is called complementary super edge magic labeling with complementary s...

ab initio calculations at hf/6-31g* level of theory for geometry optimization and mp2/6-31g*//hf/6-31g* for a single point total energy calculation are reported for the importantenergy-minimum conformations and transition-state geometries of 1, 3-diazacyclohepta-1, 2-diene (2) and 1, 3-diazacycloocta-1, 2-diene (3). the c2 symmetric twist-chair (2-tc)conformation of 2 is calculated to be 7.4 kj...

We study theories with sixteen supercharges and a discrete energy spectrum. One class of theories has symmetry group SU(2|4). They arise as truncations of N = 4 super Yang Mills. They include the plane wave matrix model, 2+1 super Yang Mills on R × S2 and N = 4 super Yang Mills on R × S/Zk. We explain how to obtain their gravity duals in a unified way. We explore the regions of the geometry tha...

A new (1, 1)-dimensional super vector bundle which exists on any super Riemann surface is described. Cross-sections of this bundle provide a new class of fields on a super Riemann surface which closely resemble holomorphic functions on a super Riemann surface, but which (in contrast to the case with holomorphic functions) form spaces which have a well defined dimension which does not change as ...

A (p, q) graph G is called edge-magic if there exists a bijective function f : V (G) ∪ E(G) → {1, 2, . . . , p + q} such that f(u) + f(v) + f(uv) is constant for any edge uv of G. Moreover, G is said to be super edgemagic if f(V (G)) = {1, 2, . . . , p}. Every super edge-magic (p, q) graph is harmonious, sequential and felicitous whenever it is a tree or satisfies q ≥ p. In this paper, we prove...

land use planning is a science that determines the type of land use through studying the ecological character of the land as well as its socio-economic structure. it is possible to plan for the appropriate use of the land and to enhance the present management of the land use by utilizing geographical information system (gis). to this end, our investigators identified and took steps toward devel...

The N=2 superconformal (or super-Virasoro) algebras in two dimensions are three complex Lie superalgebras: the Neveu-Schwarz superalgebra [1], the Ramond superal-gebra [1], the twisted superalgebra [2], which are denoted as A, P, T , resp., or G when a statement holds for all three superalgebras. They have the following nontrivial super-Lie brackets :