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Some and graphs
Some algorithms become simpler when used on DAGs instead of general graphs, based on the principle of topological ordering.
Some methods for studying symmetries of graphs extend to hypergraphs.
Some random walks are on graphs, others on the line, in the plane, or in higher dimensions, while some random walks are on groups.
Some flexibility in orientation of graphs ( rotation and reversibility ) continues in the Western Zhou, but this becomes increasingly scarce throughout the Zhou dynasty.
Some of the more well-known perfect graphs are:
Some of the properties of claw-free graphs are generalizations of those of line graphs.
Some matroid classes has been defined from well-known families of graphs, by phrasing a characterization of these graphs in terms that make sense more generally for matroids.
Some types of ruled paper are for calligraphy, making graphs, or writing music, whereas others are for teaching students how to write in a particular language or script, etc.
Some authors exclude graphs which satisfy the definition trivially, namely those graphs which are the disjoint union of one or more equal-sized complete graphs, and their complements, the Turán graphs.
* Brendan McKay, Some collections of graphs.
Some graphs with greater crossing numbers are also toroidal: the Möbius – Kantor graph, for example, has crossing number 4 and is toroidal.
Some special angles should be noted or the graphs of two equations should be compared on the same plot.
* Some kinds of biased graph are obtained from gain graphs or are generalizations of special kinds of gain graph.

Some and are
Some of us might be inclined to argue, in fact, that an independence of mind and action and an intolerance of regimentation, either mental or physical, are particularly Southern traits.
Some years ago Julian Huxley proposed to an audience made up of members of the British Association for the Advancement of Science that `` man's supernormal or extra-sensory faculties are ( now ) in the same case as were his mathematical faculties during the ice age ''.
Some are fishing, some driving the team, and many are sitting indolently on the banks of the river.
Some historians have found his point of view not to their taste, others have complained that he makes the Tory tradition appear `` contemptible rather than intelligible '', while a sympathetic critic has remarked that the `` intricate interplay of social dynamics and political activity of which, at times, politicians are the ignorant marionettes is not a field for the exercise of his talents ''.
Some of the marble busts in the park are of young Englishmen who fought and died for Garibaldi.
Some accounts are quite lengthy but Florida's is the shortest of all, requiring only four paragraphs.
Some plant-location specialists take these signs to mean St. Louis county doesn't want industry, and so they avoid the area, and more jobs are lost.
Some fiscal changes are important.
Some brilliant rookies nailed them down, so that this spring just two spots, left and right field, are really up for grabs.
Some of the stumps are as much as three feet long, but most of them have been flattened by the pressure of the overlying sediments.
Some privately held inholdings are a source of direct damage to these Federal lands.
Some 45 frequencies are assigned for use primarily by dominant Class 1, -- A or Class 1, -- B clear-channel stations, designed to operate with adequate power and to provide service -- both groundwave and ( at night ) skywave -- over large areas and at great distances, being protected against interference to the degree necessary to achieve this objective.
Some deductions are subtracted from Gross Income to determine Adjusted Gross Income.
Some renditions are of symphonic dimensions, with the contrabass given free rein.
Some of them are obvious, such as the fact that we associate recorded and live music with our responses and behavior in different types of environments and social settings.
Some tasty frank toppings are chili con carne, Coney Island sauce and savory sauerkraut.
Some general things to look for in a site, if you haven't already bought one, are accessibility, water drainage, and orientation.
Some distribution costs are kept up by competitive pressure, some by the fact that the customers have come to expect certain niceties and flourishes.
Some of these temperatures are plotted in figure 4.
( Some suspensions break up before they are near to the direction of shear, and some become asymptotic to it without breakup.
Some experiments are composed of repetitions of independent trials, each with two possible outcomes.
Some of these speculations may have some merit, others are somewhat ambiguous.
Some phonetic features, for example glottal catch or murmur, are sometimes to be assigned to segmental phonemics and sometimes to accentual systems.
Some are failing to achieve as much as their ability would permit ; ;

Some and given
Some liar's logic, a wisp of optimism as fragile as the scent of tropical blossoms that came through the window ( a euphoria perhaps engendered by the pill Fritzie had given her ), consoled her for a moment.
Sources disagree, as may differing states ' laws, as to what category of plea the Alford plea falls under: Some sources state that the Alford guilty plea is a form of nolo contendere, where the defendant in the case states " no contest " to the factual matter of the case as given in the charges outlined by the prosecution.
Some of the major awards in Computer science are given jointly by ACM and the IEEE – CS.
Some general purpose Bulletin Board Systems had special levels of access that were given to those who paid extra money, uploaded useful files or knew the SysOp personally.
Some Anglican suffragans are given the responsibility for a geographical area within the diocese ( for example, the Bishop of Stepney is an area bishop within the Diocese of London ).
Some question whether the translation " You, also, O Ethiopians / Shall be killed by my sword " is a good translation, given the fact that Ethiopia is a long way away from Jerusalem.
Some cultures have discerned shapes in these patches and have given names to these " dark cloud constellations.
Some authors deviate from the definition just given by identifying each object with its identity morphism.
Some drives use special techniques, such as Plextor's GigaRec or Sanyo's HD-BURN, to write more data onto a given disc ; these techniques are inherently deviations from the Compact Disc ( Red, Yellow, and / or Orange Book ) standards, making the recorded discs proprietary-formatted and not fully compatible with standard CD players and drives.
Some definitions focus on the question of the probability of encountering a given condition of a system once characteristics of the system are specified.
Some researchers such as Brengelman ( 1970 ), have suggested that, in addition to this marking of word origin, these spellings indicate a more formal level of style or register in a given text, although Rollins ( 2004 ) finds this point to be exaggerated as there would be many exceptions where a word with one of these spellings, such as ⟨ ph ⟩ for ( like telephone ), could occur in an informal text.
Some tax breaks are given for investment in movie productions, as is common elsewhere including in the United States.
Some patients may experience a slight allergic reaction to the diagnostic radioiodine, and may be given an antihistamine.
Some Western cultures have often given priority to civil and political rights, sometimes at the expense of economic and social rights such as the right to work, to education, health and housing.
Some believe that neck sizing will permit a larger number of reloads with a given case in contrast to full size resizing, although this is controversial.
Some establishments have given name to a particular meal or beverage, as is the case with the Waldorf Astoria in New York City, United States where the Waldorf Salad was first created or the Hotel Sacher in Vienna, Austria, home of the Sachertorte.
Some specially compounded products are routinely given to chronic pain patients in doses of up to 180 mg of hydrocodone per day.
Some attention was given to problems of flood control and drainage before the revolution of July 14, 1958, but development plans in the 1960s and 1970s were increasingly devoted to these matters, as well as to irrigation projects on the upper reaches of the Tigris and Euphrates and the tributaries of the Tigris in the northeast.
Some believe this may be due to deliberate price fixing by those who bought the stockpile echoing the warnings from the Japan Wildlife Conservation Society on price-fixing after sales to Japan in 1997, and monopoly given to traders who bought stockpiles from Burundi and Singapore in the 1980s.
Some have attempted to argue that ICANN was never given the authority to decide policy, e. g., choose new TLDs or shut out other interested parties who refuse to pay ICANN's US $ 185, 000 fee, but was to be a technical caretaker.
Some representative data points are given in the table following the plot.
Some new reservoirs for hydroelectric schemes have been given names faithful to the names for natural bodies of water-for example: the Loch Sloy scheme, and Lochs Laggan and Treig ( which form part of the Lochaber hydroelectric scheme near Fort William ).
Some jurisdictions allow employers to count tips given to their workers as credit towards the minimum wage level.

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