Sentence examples for connected of order from inspiring English sources

In this paper, all graphs are simple connected of order n ≥ 2. For v ∈ V ( G ), let d ( v ) and N ( v ) be the degree and the set of neighbors of v, respectively.

They also conjectured that among all connected graphs of order n with m ((n leq mleq2n -3)) edges, (G_{m,n}) is the unique graph which has maximal value of (S_{2}(G)), where (G_{m,n}) is a graph of order n with m edges which has (m-n+1) triangles with a common edge and (2n-m-3) pendent edges incident with one end vertex of the common edge.

Morgan, upon inspecting the Titanic's massive engine system, muses, Dazzled, I was thinking that if the fate of man was connected to the order of the universe, and if one could equate the scientific workings of the engines with just such a reciprocal universe, why then, nothing could go wrong with my world.

A comprehensive reference scenario is smart grids, i.e., electricity networks that can intelligently integrate the behavior and actions of all objects connected in order to efficiently deliver sustainable, economic, and secure electricity supplies using a two-way digital communication technology.

The spaceship control room reappeared in "The Impossible Astronaut"/"Day of the Moon", where it was connected to the Order of the Silence.

The success of all generations is and must be intimately connected in order for all to thrive and survive.

In sensorimotor tasks resembling navigational performance, the serial order of objects is intimately connected with spatial order.

All treatment strategies that are not subject to simple or extended dominance are connected in ascending order of effectiveness (IQWiG, 2009).

The totally ordered spaces that are compact and connected in their order topologies are characterized as images of lexicographic cubes.

We show that K16 can be decomposed into each of the 4060 connected cubic graphs of order 16, and into precisely 144 of the 147 disconnected cubic graphs of order 16.

To quantify this significance we eliminate all edges of a pattern instance (i.e., its intrinsic edges ) and measure how this affects the number of connected ordered pairs of vertices in the network.