for the analysis of structures, the first step consists of configuration processing followed by data generation. this step is the most time consuming part of the analysis for large-scale structures. in this paper new graph products called triangular and circular graph products are developed for the formation of the space structures. the graph products are extensively used in graph theory and co...

Let G and H be connected graphs. The tensor product G + H is a graph with vertex set V(G+H) = V (G) X V(H) and edge set E(G + H) ={(a , b)(x , y)| ax ∈ E(G) & by ∈ E(H)}. The graph H is called the strongly triangular if for every vertex u and v there exists a vertex w adjacent to both of them. In this article the tensor product of G + H under some distancebased topological indices are investiga...

An interesting connection between graph homomorphisms to odd cycles and circular chromatic number is presented. By using this connection, bounds for circular chromatic number of triangle-free hexagonal graphs (i.e. induced subgraphs of triangular lattice) are given.

a watching system in a graph $g=(v, e)$ is a set $w={omega_{1}, omega_{2}, cdots, omega_{k}}$, where $omega_{i}=(v_{i}, z_{i}), v_{i}in v$ and $z_{i}$ is a subset of closed neighborhood of $v_{i}$ such that the sets $l_{w}(v)={omega_{i}: vin omega_{i}}$ are non-empty and distinct, for any $vin v$. in this paper, we study the watching systems of line graph $k_{n}$ which is called triangular grap...

In present work, numerical analysis of three novel PEM fuel cells with tubular geometry was conducted. Tree different cross section was considered for PEM, namely: circular, square and triangular. Similar boundary and operational conditions is applied for all the geometries. At first, the obtained polarization curve for basic architecture fuel cells was validated with experimental data and then...

Multiclass data visualizations allow viewers to compare one dataset to another. The visual marks that represent these datasets, or classes, are visually distinguished from one another by easily perceived visual feature differences, such as color or shape. A designer of a graph or map might encode one class of marks as either red, or circular, and another class as either blue, or triangular. One...

This study investigates geometrical non-linear analysis of composite circular cylindrical shells under external pressure over part of their surfaces and also shells subjected to combined axial compression and triangular external pressure. Donnell non-linear shell theory along with first order shear deformation theory (FOSD) are adopted in the analysis. In the case of combined axial compression ...