We study the structure learning problem for graph homomorphisms, commonly referred to as Hcolorings, including the weighted case which corresponds to spin systems with hard constraints. The learning problem is as follows: for a fixed (and known) constraint graphH with q colors and an unknown graph G = (V,E) with n vertices, given uniformly random H-colorings of G, how many samples are required ...

the structure of n,n'-bis(2-hydroxybenzylidene)-2,2-dimethyl-1,3-propanediamine, c19h22n2o2, has been studied at low temperature (120k) by means of single-crystal x-ray diffraction. solving the structure shows an orthorhombic unit cell, with p212121 space group, z = 4, a = 6.1046 (4) å, b = 15.8349 (11)å, c = 17.2898 (12) å and v = 1671.3 (2) å3. there are two relatively strong hydrogen bonds (...

a computational study of the electronic structure and stability of complexes formed between zeolite y and boric acid was carried out at the hf and b3lyp levels using 6-31g* basis set. five structures located as local minimum in pes of complex (structures d, e, f, g, and h). the most stable structure is formed due to hydrogen bonding between two hydroxyl of boric acid and both oxygen of ...

In this paper‎, ‎the concept of synchronization control along with robust H∞ control are considered to evaluate the seismic response control on multi-story structures‎. ‎To show the accuracy of the novel algorithm‎, ‎a five-story structure is evaluated under the EL-Centro earthquake load‎. ‎In order to find the performance of the novel algorithm‎, ‎random and uncertainty processes corresponding...

In this communication, a thermodynamic model is presented to predict the dissociation conditions of structure H (sH) clathrate hydrates with methane as help gas. This approach is an extension of the Klauda and Sandler fugacity model (2000) for prediction of phase boundaries of sI and sII clathrate hydrates. The phase behavior of the water and hydrocarbon system is modeled using the Peng-Robinso...

the harary index h can be viewed as a molecular structure descriptor composed of increments representing interactions between pairs of atoms, such that their magnitude decreases with the increasing distance between the respective two atoms. a generalization of the harary index, denoted by hk, is achieved by employing the steiner-type distance between k-tuples of atoms. we show that the linear c...

in this paper we define an order structure on the $p$-operator projective tensor product of herz algebras and we show that the canonical isometric isomorphism between $a_p(gtimes h)$ and $a_p(g)widehat{otimes}^p a_p(h)$ is an order isomorphism for amenable groups $g$ and $h$.

Let $H$, $L$ and $X$ be subgroups of a finite group$G$. Then $H$ is said to be $X$-permutable with $L$ if for some$xin X$ we have $AL^{x}=L^{x}A$. We say that $H$ is emph{$X$-quasipermutable } (emph{$X_{S}$-quasipermutable}, respectively) in $G$ provided $G$ has a subgroup$B$ such that $G=N_{G}(H)B$ and $H$ $X$-permutes with $B$ and with all subgroups (with all Sylowsubgroups, respectively) $...