If collinear points are allowed, we prove that the problem of deciding whether there exists a geometric spanning path of all the red points and a geometric spanning path of all the blue points without crossing is NP-complete.
To de-cluster the database into similar partitions, an efficient algorithm is developed to approximate the shortest spanning path (SSP) to link transaction data together.
A novel correlation was established between increased electrical conduction through a spanning path(s) and higher stiffness giving insight into the mechanism of load transfer to MWCNTs.
Based on the auxiliary graphs, this paper proposes an efficient heuristic called green multicast grooming algorithm based on spanning path dedicated protection (GMG-SPDP), in which the network reliability and the energy efficiency are jointly taken into account.
The correlation is attributed to MWCNT shell buckling-induced growth in the real area of contact between the metal contact electrodes and the PNC that occurs when a spanning path is compressed and begins to conduct electric current.
The storm spanned a path that was about 10 miles (16 km) long and about 1 mile (1.6 km) wide.
The deployment of optically transparent mesh networks based on reconfigurable optical add/drop multiplexer (ROADM) nodes with multiple fiber degrees, where different wavelengths on a fiber span follow diverse paths through the network, make the task of identifying and switching all of the affected client traffic paths much more difficult.
Assuming that the parameters of all paths span a multidimensional ellipsoid, the SVs describe the lengths of the main axes of this ellipsoid.
In other words, the path algebra is linearly spanned by all paths in E, with the multiplication given by concatenation of paths (or zero if two paths cannot be concatenated).
Thus, referring to the cladogram in Fig. 2B, the crown group of Arthropoda, to pick one example, could be defined as all descendants of the most recent common ancestor of a particular hexapod (such as a fruitfly) and a chelicerate (e.g., a tarantula), nominating extant species that span the widest path across the cladogram.
