Application of stochastic geometry methods to pattern recognition is analyzed. The paper is based on Trace-transformations of original images introduced in [1] into images on the Mobius band. Trace–transformation is a new geometrical transformation, which is connected with image scanning on complex trajectories, including random parameters trajectories. Based on this new geometric transformatio...

a special class of cubic graphs are the cycle permutation graphs. a cycle permutation graph pn(α) is defined by taking two vertex-disjoint cycles on n vertices and adding a matching between the vertices of the two cycles.in this paper we determine a good upper bound for tenacity of cycle permutation graphs.

the total version of geometric–arithmetic index of graphs is introduced based on the endvertexdegrees of edges of their total graphs. in this paper, beside of computing the total gaindex for some graphs, its some properties especially lower and upper bounds are obtained.

the center (periphery) of a graph is the set of vertices with minimum (maximum)eccentricity. in this paper, the structure of centers and peripheries of some classes ofcomposite graphs are determined. the relations between eccentricity, radius and diameterof such composite graphs are also investigated. as an application we determinethe center and periphery of some chemical graphs such as nanotor...

we study the set of all determinants of adjacency matrices of graphs with a given number of vertices. using brendan mckay's data base of small graphs, determinants of graphs with at most $9$ vertices are computed so that the number of non-isomorphic graphs with given vertices whose determinants are all equal to a number is exhibited in a table. using an idea of m. newman, it is proved that if $...

The authors report a combined orthodontic-surgical correction of an adult patient's malocclusion affected by Moebius Syndrome (MS). The treatment was conducted at the Dentistry Unit and the Maxillofacial Surgery Unit of the University Hospital of Parma. Treatment of malocclusion was performed after the correction of facial mimic mobility with smile surgery. The postoperative stability and ortho...

mean labelings are a type of additive vertex labeling. this labeling assigns non-negative integers to the vertices of a graph in such a way that all edge-weights are different, where the weight of an edge is defined as the mean of the end-vertex labels rounded up to the nearest integer. in this paper we focus on mean labelings of some graphs that are the result of the corona operation. in parti...

Mobius Microsystems is a fabless and intellectual property (IP) semiconductor company founded by a graduate student (McCorquodale) and his faculty advisor (Brown) and based upon the dissertation research conducted by the student. The company is presented by the founding researchers as a case study in the commercialization of graduate research in electrical engineering. While a previous paper by...

Abstract. The Mobius model building system is a new open-source framework for fast and flexible environmental models. makes it possible researchers with limited programming experience to build performant models potentially complicated structures. can be easily interacted through the MobiView graphical user interface Python language. was initially developed support catchment-scale hydrology wate...