the first geometric-arithmetic index was introduced in the chemical theory as the summationof 2 du dv /(du  dv ) overall edges of the graph, where du stand for the degree of the vertexu. in this paper we give the expressions for computing the first geometric-arithmetic index ofhexagonal systems and phenylenes and present new method for describing hexagonal systemby corresponding a simple graph...

Adjunct Hexagonal Array Token Petri Net Structures (AHPN) are recently introduced hexagonal picture generating devices which extended the Hexagonal Array Token Petri Net Structures . In this paper we consider AHPN model along with a control feature called inhibitor arcs and compare it with some expressive hexagonal picture generating and recognizing models with respect to the generating power.

This paper introduces hexagonal shape sensors that is a meander and mesh type. Modelling, simulation and development of Hexagonal Sensor and the results are discussed in this paper. The characteristics of hexagonal spiral inductor and interdigital capacitor are determined. The hexagonal spiral inductor is a new electronic sensor that can be used for various measurements that produces magnetic f...

We look at a variant of the Hamilton circuit problem, where the input is restricted to hexagonal grid graphs. A hexagonal grid graph has a vertex set that is a subset of the grid points of a regular hexagonal tiling of the plane and edges corresponding to hexagon sides. We show that Hamilton circuit in hexagonal grid graphs is NP-complete.

Image representation always becomes an important and interesting topic in image processing and pattern recognition. Since introduced by Freeman in 1961, that is known as Freeman Chain Code (FCC) the evolution and improvement of chain code representation scheme has been widely used as a topic of research. In 1999, Bribiesca introduced a new two-dimensional chain code scheme that is called Vertex...