The resulting Tutte graph is 3-connected and planar, so by Steinitz ' theorem it is the graph of a polyhedron.

Cacti allows a user to poll services at predetermined intervals and graph the resulting data.

The resulting mathematical structure is called a graph.

The projective plane embedding can also be formed from the standard pentagonal drawing of the Petersen graph by placing a cross-cap within the five-point star at the center of the drawing, and routing the star edges through this cross-cap ; the resulting drawing has six pentagonal faces.

It is also possible to check whether a given directed graph is a DAG in linear time, by attempting to find a topological ordering and then testing whether the resulting ordering is valid.

This generates a power-law but the resulting graph differs

Odd cycle transversal is an NP-complete algorithmic problem that asks, given a graph and a number, whether there exists a set of vertices whose removal from would cause the resulting graph to be bipartite ..

In many materials, the relation between applied stress is directly proportional to the resulting strain ( up to a certain limit ), and a graph representing those two quantities is a straight line.

Every Eulerian orientation of a connected graph is a strong orientation, an orientation that makes the resulting directed graph strongly connected.

In general, a subdivision of a graph G ( sometimes known as an expansion ) is a graph resulting from the subdivision of edges in G. The subdivision of some edge e with endpoints

The order in which a sequence of such contractions and deletions is performed on G does not affect the resulting graph H.

We call the resulting graph the Turán graph T ( n, r ).

For sufficiently small N, the resulting locations may be displayed in a graph or 3D visualisation.

Register allocation can then be reduced to the problem of K-coloring the resulting graph, where K is the number of registers available on the target architecture.

In both algorithms, the sentences are ranked by applying PageRank to the resulting graph.

Equivalently, the positive functions in the kernel of The resulting numbering is unique up to scale, and if normalized such that the smallest number is 1, consists of small integers – 1 through 6, depending on the graph.

In the resulting graph, the source corresponds to the winner.

If each strongly connected component is contracted to a single vertex, the resulting graph is a directed acyclic graph, the condensation of G. A directed graph is acyclic if and only if it has no strongly connected subgraphs with more than one vertex, because a directed cycle is strongly connected and every nontrivial strongly connected component contains at least one directed cycle.

-- After 52 rainless days, moisture finally came to Del Mar, resulting in but one workout during the week for most of the horses, and leaving us with less than half our total average rainfall during the season.

Property values are depressed, resulting in a smaller tax base for these three provinces, particularly when compared with the national average which benefits from central and western Canadian economic growth.

On the largest scale, the universe is continually expanding, resulting in an average increase in the separation between individual galaxies ( see Hubble's law ).

This pressure difference is accompanied by a velocity difference, via Bernoulli's principle, so the resulting flowfield about the foil has a higher average velocity on one side than the other.

At the most basic level, initial ratemaking involves looking at the frequency and severity of insured perils and the expected average payout resulting from these perils.

However, the Jamaican dollar has been slipping, despite intervention, resulting in an average exchange rate of J $ 73. 40 per US $ 1. 00 and J136. 2 per € 1. 00 ( February 2011 ).

Meditel's focus on lower-income markets impacted their average revenue per user, which fell by 16 %, but the resulting expansion of the customer base helped drive up the country's mobile penetration rate from 65. 7 % in 2007 to 74 % in 2008.

Given high fixed costs, the new price was below average total cost, resulting in a loss.

Alternatively, 5 ml from a neutron star of radius 20 km radius ( average density ) has a mass of about 400 million metric tons, or about the mass of all humans .</ ref > The resulting force of gravity is so strong that if an object were to fall from a height of one meter it would only take one microsecond to hit the surface of the neutron star, and would do so at around 2000 kilometers per second, or 7. 2 million kilometers per hour.

It may not be possible to observe every atom of the crystallized molecule – it must be remembered that the resulting electron density is an average of all the molecules within the crystal.

The procedure curbs the feeling of hunger and is sometimes performed in conjunction with putting bands on patients ' stomachs, resulting in average weight loss of 43 % at six months with diet and exercise.

Additions to the index raised the number of companies to 20, resulting in a mathematical inconsistency to the average from previous years, including 1914.

However, when not using full feedback, the resulting stream has a period of around 2 < sup > 32 </ sup > blocks on average ; for many applications, this period is far too low.

Because it is exposed to the generally westerly winds and waves of the Pacific, seas and weather in Juan de Fuca Strait are, on average, rougher than in the more protected waters inland, thereby resulting in a number of small-craft advisories.

Drought is unusual dryness of soil, resulting in crop failure and shortage of water for other uses, caused by significantly lower rainfall than average over a prolonged period.

The lunar cratering record shows that the frequency of impacts decreases as approximately the cube of the resulting crater's diameter, which is on average proportional to the diameter of the impactor.

We can see that the resulting intensity is made of a sinus law with a high " spatial frequency " ( wave number ) which is the average of the spatial frequencies of the two patterns, and of a sinus law with a low spatial frequency which is the half of the difference between the spatial frequencies of the two patterns.

An upswing in breastfeeding in many countries has been accompanied by a deferment in the average age of introduction of baby foods ( including cow's milk ), resulting in both increased breastfeeding and increased use of infant formula between the ages of 3-and 12-months.

" Their families – often their parents, but sometimes husbands and wives taking action against their spouses – could apply for individuals to be detained at one of the royal prisons, resulting in an average imprisonment of between six months and four years.

Blood pressure is very low during manual CPR, resulting in only a ten minute average extension of survival.

Pulse-width modulation uses a rectangular pulse wave whose pulse width is modulated resulting in the variation of the average value of the waveform.

The FLN carried out an average of 800 shootings and bombings per month through the spring of 1957, resulting in many civilian casualties and inviting a crushing response from the authorities.

This vaccine significantly increased CD4 + cells and increased antigen-specific serum IgGq and IgA, resulting in a statistically significant reduction in the average number of adult worms in the small intestine of mice.

Earlier it has been estimated that the territory is about, but a study on Mindanao Island found the nearest distance between breeding pairs to be about on average, resulting in a circular plot of.

The Year Without a Summer ( also known as the Poverty Year, The Summer that Never Was, Year There Was No Summer and Eighteen Hundred and Froze to Death ) was the year 1816, in which severe summer climate abnormalities caused average global temperatures to decrease by 0. 4 – 0. 7 ° C ( 0. 7 – 1. 3 ° F ), resulting in major food shortages across the Northern Hemisphere.