ABSTRACT: Let G=( V,E ) be a graph. The first Zagreb index of a graph G is defined as ∑ u∈V d G 2 ( u ) , where d G ( u ) is the degree of vertex u in G . In this paper, we obtain two lower bounds ...

In the present era of modern nano-technologies, controlling light at the smallest scales is the key to faster communications, ultra-sensitive sensors, and revolutionary imaging systems. This is where ...

Topological materials are a class of materials that exhibit unique electronic properties at their boundary (surface in 3D materials; edge in 2D materials) that are robust against imperfections or ...

A network of directed line segments free of circular elements is assumed. The lines are identified by their terminal nodes and the nodes are assumed to be numbered by a non-topological system. Given a ...

BEND, Ore.--(BUSINESS WIRE)--Element 1® (e1NA) has received a guaranteed five-year, multi-unit purchase order from a major North American partner for its L18-PSA methanol-to-hydrogen generator. The ...

Expose the default vertical ordering of different types of elements to the user, and allow us to modify it. (Note: this is not to be confused with the stacking order property on elements, which ...

Abstract: One of the frequently used approach for multi-hop question answering (MHQA) is that of graph neural network. In graph neural network based MHQA, learning is primarily based on the graph and ...