The Nature of Contemporary Core Mathematics

The Genealogy of the Relationship between Human and Nature in the Iranian Contemporary Architecture, based on Foucault's idea (Case Study: Pahlavi Period)

Human is a small part of nature and with its constant presence in the natural environment, it was able to create an artificial and man-made environment tailored to its needs. Identifying structural components of nature and adapting them to the three dimensions of body, spirit and soul and their role in creating physical, functional and content components in architecture, is the beginning of the...

An efficient algorithm for finding the semi-obnoxious $(k,l)$-core of a tree

In this paper we study finding the $(k,l)$-core problem on a tree which the vertices have positive or negative weights. Let $T=(V,E)$ be a tree. The $(k,l)$-core of $T$ is a subtree with at most $k$ leaves and with a diameter of at most $l$ which the sum of the weighted distances from all vertices to this subtree is minimized. We show that, when the sum of the weights of vertices is negative, t...

Methods of Utilizing Nature in Samples of Iranian Contemporary Architecture

Bifuzzy core of fuzzy automata

The purpose of the present work is to introduce the concept of bifuzzy core of a fuzzy automaton, which induces a bifuzzy topology on the state-set of this fuzzy automaton. This is shown that this bifuzzy topology can be used to characterize the concepts such as bifuzzy family of submachines, bifuzzy separable family and bifuzzy retrievable family of a fuzzy automaton.

Three Graceful Operations

A graph of size n is said to be graceful when is possible toassign distinct integers from {0, 1, . . . , n} to its verticesand {|f(u)−f(v)| : uv ∈ E(G)} consists of n integers. Inthis paper we present broader families of graceful graphs; these families are obtained via three different operations: the third power of a caterpillar, the symmetric product of G and K2 , and the disjoint union of G a...