We study the Equitable Connected Partition problem: partitioning the vertices of a graph into a specified number of classes, such that each class of the partition induces a connected subgraph, so that the classes have cardinalities that differ by at most one. We examine the problem from the ...
However, the landscape function makes a prediction for this density of states that is significantly more accurate in practice in these regimes, with a mathematical justification (up to multiplicative constants) of this accuracy obtained in this paper of David, Filoche, and Mayboroda. More refined ...
For example, you can combine multiple connecting roads, streams, or trails into single logical profiles in the graph. The option to use m-values from input polyline vertices for y-axis values as well as z-axis values. Lidar and LAS datasets A new workflow topic explains how to extract ...
This paper is in the spirit of a number of results in extremal graph theory in which the bounds for various graph-theoretic problems or results can be greatly improved if one makes some additional hypotheses regarding the structure of the graph, for instance by requiring that the graph be “...
The Cartesian graph we have put it into to show it is an acceleration is still just an x, y graph. We still don’t have a time variable. A circle is a planar object, existing in a plane, but in the real world a curve on a plane cannot be created without time passing. A two-...
And the simplicity of their construction makes it much easier to “see inside them”—and to get more of a sense of what essential phenomena actually underlie machine learning. One might have imagined that even though the training of a machine learning system might be circuit...
Its wide availability and short exam- ination time makes CT an excellent imaging tool for acute situations. With a CT scan, a neuroradiologist can diagnose or exclude diseases that require urgent ther- apeutic decisions. The most important diagnosis that requires a prompt CT scan of the brain...
Question: Refer to the diagram below, what letters indicate angles of incidence? (i) B and F (ii) A and E (iii) A and P (iii) T and A Angle of Incidence: The angle between the incident ray and the vertical axis (perpendicular to the surf...
Sure, any planar graph can be five-colored. But that result is not sharp: in fact, any planar graph can be four-colored. That is sharp: the same can't be said for any lower number. Crisp Brittle; friable; in a condition to break with a short, sharp fracture; as, crisp snow. Th...
A circle is a fundamental geometric shape characterized by its perfect symmetry around a central point, with every point on its edge being the same distance from this center. This uniformity makes it a staple in geometry, often studied for its properties and mathematical equations, such as the ...