The harmonic index of a graph $G$, denoted by $H(G)$, is defined asthe sum of weights $2/[d(u)+d(v)]$ over all edges $uv$ of $G$, where$d(u)$ denotes the degree of a vertex $u$. Hu and Zhou [Y. Hu and X. Zhou, WSEAS Trans. Math. {bf 12} (2013) 716--726] proved that for any bicyclic graph $G$ of order $ngeq 4$, $H(G)le frac{n}{2}-frac{1}{15}$ and characterize all extremal bicyclic graphs.In this...

This paper introduces the concept of a dynamic key infrastructure for Grid. It utilises the properties of Identity-based Cryptography (IBC) to simplify key management techniques used in current Public Key Infrastructure (PKI) settings for Grid. This approach can offer greater simplicity, flexibility, and enhanced computation trade-offs.

The evolution of building codes typically produce design provisions that are expected to create safer and more accurate designs. We as engineers expect building codes to advance the state of the art with each successive edition. The 2009 International Building Code (IBC) and the Building Code Requirements for Structural Concrete (ACI 318-08) have significant revisions affecting the design of ti...

Background and Aims: HDV is a defective satellite virus and classified in genus Deltavirus. Its disease is related and limited to HBV-infected patients. Acute infection of delta agent occurs in two different patterns simultaneous infection with both HBV & HDV or super infection of chronically HBV infected patients that lead to more sever type of hepatitis. According to genetic diversity of geno...

During the past three decades, Middle East has been one of important areas that experienced major viral epidemics. COVID-19 as a pulmonary disease was first reported in China early third decade 21st century and quickly infected Asian countries, East, then entire world. The pandemic caused widespread financial damage life-threatening, but exact extent is still unclear. high prevalence created fr...

in this paper we continue development of formal theory of a special class offuzzy logics, called eq-logics. unlike fuzzy logics being extensions of themtl-logic in which the basic connective is implication, the basic connective ineq-logics is equivalence. therefore, a new algebra of truth values calledeq-algebra was developed. this is a lower semilattice with top element endowed with two binary...