If we construct isosceles polygon Pa k with (k − 1) sides of the same length over each side of regular polygon Pb n , with n sides, we get a new equilateral polygon P a,δ N with N = (k− 1)n sides of the same length and with different inner angles. Such polygon is called equilateral semi-regular polygon. This paper deals with metric properties of general semi-regular polygons Pa N , with given s...

A graph is semi-symmetric if it is regular and edge transitive but not vertex transitive. The 3and 4-valent semi-symmetric graphs are wellstudied. Several papers describe infinite families of such graphs and their properties. 3-valent semi-symmetric graphs have been completely classified up to 768 vertices. The goal of this project is to extend this work to 5-valent semi-symmetric graphs. In th...

This paper is the first of a two part series. In this paper, we first prove that the variety of dually quasi-De Morgan Stone semi-Heyting algebras of level 1 satisfies the strongly blended $lor$-De Morgan law introduced in cite{Sa12}. Then, using this result and the results of cite{Sa12}, we prove our main result which gives an explicit description of simple algebras(=subdirectly irreducibles) ...

We give an alternative proof of the fact that a planar function cannot exist on groups of even order. The argument involved leads us to define a class of functions which we call semi-planar. Through the introduction of an incidence structure we construct semi-biplanes using semi-planar functions. The method involved represents a new approach to constructing semi-biplanes and provides infinite c...

Department of Infectious Parasitic and ImmuneMediated Diseases, Istituto Superiore di Sanità, Rome, Italy (M L Ricci BiolD, S Fontana PhD, F Pinci BiolD, M Scaturro PhD); Azienda Unità Sanitaria Locale, Forlì, Italy (E Fiumana MD); Azienda Unità Sanitaria Locale, Cesena, Italy (M F Pedna BiolD); Agenzia Regionale Prevenzione e Ambiente, Bologna, Italy (M A Bucci Sabattini BiolD); and “G B Morga...

It it shown that geometric morphisms between elementary toposes can be represented as adjunctions between the corresponding categories of locales. These adjunctions are characterised as those that preserve the order enrichment, commute with the double power locale monad and whose right adjoints preserve finite coproduct. They are also characterised as those adjunctions that preserve the order e...

In this paper, some new types of regularity axioms, namely pairwise quasi-regular, semi-regular, pseudo regular and are defined studied in both ech fuzzy soft bi-closure spaces ( bicsp’s) their induced bitopological spaces. We also study the relationships between them. show that all these hereditary property is satisfied under closed fs bi-csubsp . Furthermore, we define normality semi-normal, ...