Smallest Organism; Highest Threat

Smallest Organism; Highest Threat

Ever since the discovery of virus in beginning of 20th century, infections caused by these organisms have captured attention of researchers. The evolution of viruses is still a controversy, even same for their categorization in either living or non-living. It is clear that besides many controversies virus remains challenging to treat as well as to control in some extent. Though vaccines are ava...

Graphs with smallest forgotten index

The forgotten topological index of a molecular graph $G$ is defined as $F(G)=sum_{vin V(G)}d^{3}(v)$, where $d(u)$ denotes the degree of vertex $u$ in $G$. The first through the sixth smallest forgotten indices among all trees, the first through the third smallest forgotten indices among all connected graph with cyclomatic number $gamma=1,2$, the first through<br /...

Selecting the Smallest Extreme Value Population with the Smallest Variance

An Algorithm for Finding the Smallest Set of Smallest Rings

This paper describes an algorithm which finds the smallest set of smallest rings of a ring system without the necessity of finding all rings in the ring system. The algorithm first finds the smallest rings in which unused atoms occur and then progresses to find the smallest rings in which unused edges and faces occur until the smallest set of rings required to describe the complete ring system ...

The Generalized Smallest Grammar Problem The Generalized Smallest Grammar Problem

The Smallest Grammar Problem – the problem of finding the smallest context-free grammar that generates exactly one given sequence – has never been successfully applied to grammatical inference. We investigate the reasons and propose an extended formulation that seeks to minimize non-recursive grammars, instead of straight-line programs. In addition, we provide very efficient algorithms that app...