We apply theta body relaxations to the Ki-cover problem and show polynomial time solvability for certain classes of graphs. In particular, we give an effective relaxation where all Kip-hole facets are valid, and study its relation to an open question of Conforti et al. For the triangle free problem, we show for Kn that the theta body relaxations do not converge by (n−2)/4 steps; we also prove f...

a graph is called textit{circulant} if it is a cayley graph on a cyclic group, i.e. its adjacency matrix is circulant. let $d$ be a set of positive, proper divisors of the integer $n>1$. the integral circulant graph $icg_{n}(d)$ has the vertex set $mathbb{z}_{n}$ and the edge set e$(icg_{n}(d))= {{a,b}; gcd(a-b,n)in d }$. let $n=p_{1}p_{2}cdots p_{k}m$, where $p_{1},p_{2},cdots,p_{k}$ are disti...

We performed Second Harmonic Generation (SHG) imaging microscopy of endogeneous myosin-rich and collagen-rich tissues in amphibian and mammals. We determined the relative components of the macroscopic susceptibility tensor chi((2)) from polarization dependence of SHG intensity. The effective orientation angle theta(e) of the harmonophores has been determined for each protein. For myosin we foun...

Thematic Roles (or Theta-Roles) are theoretical constructs that account for a variety of well known empirical facts, which are more or less clearly delimited. In other words, Theta-Roles are not directly observable, but they do have empirical content that is open to empirical observation. The objective of the present paper is to sketch the nature and content of Theta-Roles, distinguishing their...

In this paper, the author establishes a set of three new theta-function identities involving Rα, Rβ and Rm functions which are based upon number q-product Jacobi’s celebrated triple-product identity. These depict inter-relationships that exist among combinatorial partition-theoretic identities. Here, in paper we answer open question Srivastava et al [33], established relations terms (for m = 1,...

Ahmed S. HASSAN, Masahiro IMACHI * , Norimasa TSUZUKI** Department of Physics, Kyushu University, Fukuoka 812-81, JAPAN Hiroshi YONEYAMA *** Department of Physics, Saga University, Saga 840, JAPAN Abstract Character expansion developed in real space renormalization group (RSRG) approach is applied to U(1) lattice gauge theory with θ-term in 2 dimensions. Topological charge distribution P (Q) is...

Theta oscillations within the hippocampus-amygdala-medial prefrontal cortex (HPC-AMY-mPFC) circuit have been consistently implicated in the regulation of anxiety behaviors, including risk-assessment. To study if theta activity during risk-assessment was correlated with exploratory behavior in an approach/avoidance paradigm we recorded simultaneous local field potentials from this circuit in rat...

The generalized fuzzy valued $theta$-Choquet integrals will beestablished for the given $mu$-integrable fuzzy valued functionson a general fuzzy measure space, and the convergence theorems ofthis kind of fuzzy valued integral are being discussed.Furthermore, the whole of integrals is regarded as a fuzzy valuedset function on measurable space, the double-null asymptoticadditivity and pseudo-doub...

Kinetics of the deposition process of k -mers in the presence of desorption or/and diffusional relaxation of particles is studied by Monte Carlo method on a one-dimensional lattice. For reversible deposition of k-mers, we find that after the initial "jamming," a stretched exponential growth of the coverage theta(t) toward the steady-state value theta(eq) occurs, i.e., theta(eq)-theta(t) is prop...