Graphs are basic objects in combinatorics.

Graph ( mathematics ) | Graphs like this are among the objects studied by discrete mathematics, for their interesting graph property | mathematical properties, their usefulness as models of real-world problems, and their importance in developing computer algorithm s.

Graphs are one of the prime objects of study in discrete mathematics.

Graphs with weights, or weighted graphs, are used to represent structures in which pairwise connections have some numerical values.

Graphs are represented graphically by drawing a dot or circle for every vertex, and drawing an arc between two vertices if they are connected by an edge.

Graphs that have vertices representing events, and edges representing causal relations between events, are often acyclic.

Graphs whose edges or vertices have names or labels are known as labeled, those without as unlabeled.

Graphs with labeled vertices only are vertex-labeled, those with labeled edges only are edge-labeled.

Graphs are one of the objects of study in discrete mathematics.

Graphs are the basic subject studied by graph theory.

Graphs are frequently drawn as node-link diagrams in which the vertices are represented as disks or boxes and the edges are represented as line segments, polylines, or curves in the Euclidean plane.

( Graphs which show just the length of the rule in the two dynasties are the most widely known ; however, Fomenko's conclusions are also based on other parameters, as described above.

Graphs are converted into factor graph form to perform belief propagation.

* Graphs are used to visualize relationships between different quantities.

Current research activities of the Department are in the areas of Analysis, Algebra, Operator Theory, Functional Analysis, General topology, Fuzzy mathematics, Graph Theory, Combinations, Convexity Theory, Fluid Dynamics, Non-linear waves, Stability, Stochastic Processes in general and Random Graphs, Operations Research and the History of Mathematics.

Graphs showing this trade-off are available from folds. net.

Graphs are an expressive, visual and mathematically precise formalism for modelling of objects ( entities ) linked by relations ; objects are represented by nodes and relations between them by edges.

The optional modules are Number Patterns, Geometry and Trigonometry, Graphs and Relations, Business-Related Mathematics, Networks and Decision Mathematics, or Matrices.

40 Graphs, w species pictures, also Tables, Photos, etc.

Mikhalev, Monoids, Acts and Categories: with Applications to Wreath Products and Graphs, De Gruyter Expositions in Mathematics vol.

A Discussion of the Two qi 其 Graphs in the First Chapter of the Daodejing .” PEW 60. 3 ( 2010 ): 391-421

Free groups of higher rank: Graphs or punctured plane.

* Chein, M., Mugnier, M .- L. ( 2009 ), Graph-based Knowledge Representation: Computational Foundations of Conceptual Graphs, Springer, 2009, ISBN 978-1-84800-285-2.

It is also possible to represent logical descriptions using semantic networks such as the existential Graphs of Charles Sanders Peirce or the related Conceptual Graphs of John F. Sowa.

Stirling Numbers of the First Kind., § 24. 1. 3 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.

* Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions ( with Formulas, Graphs and Mathematical Tables ), U. S. Dept.

Coxeter, R. Frucht and D. L. Powers, Zero-Symmetric Graphs, ( 1981 ) Academic Press.

The line of an eyebrow, the color of the skin, a ghazal from Hafiz, the purity of spring water, the long afternoon among the boughs which crowd the upper story of a pavilion -- these things are noticed, judged, and valued.

They recognized that slavery was a moral issue and not merely an economic interest, and that to recognize it explicitly in their Constitution would be in explosive contradiction to the concept of sovereignty they had set forth in the Declaration of 1776 that `` all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among them are life, liberty and the pursuit of happiness.

Somewhat uneven in interest for an average reader, eight or ten of these are among the finest of their kind in literature.

nor is there need to add that among them are some of the most highly individualized and most successful of his characters.

The limits are suggested by an imaginary experiment: contrast the perceptual skill of English professors with that of their colleagues in discriminating among motor cars, political candidates, or female beauty.

All across the South there are signs that racial violence is finding less approval among whites who themselves would never take active part but might once have shown a tolerant attitude toward it.

Independence Day is the appropriate date as a symbolical reminder of the American article of faith that governments are instituted among men to secure to them certain inalienable rights, the first of which is life, and when any government becomes subversive of that end, it is the right of the people to alter or abolish it.

There are legitimate reasons for differences of opinion among the assessors as a whole and among the public officials in each town.

These provisions are designed to reflect the differences in wealth and population among the States, with the objective that a vocationally handicapped person have access to needed services regardless of whether he resides in a State with a low or high per capita income or a sparsely or thickly populated State.

The provisions for determining a State's unadjusted Federal share are designed to reflect the varying financial resources among the States.

He is expected to know about what is going on among the representatives of other agencies who are stationed in his country.

We must build a corps of highly professional teachers of interior design who have had education, experience in the profession and are willing to take on the usual accompaniments of teaching -- minimal income and minimal status among their confreres.

The detective, commenting on Barco's behavior, felt that he merely belonged among the myriad citizens of our community who are mentally unhinged -- that he was a more or less harmless `` nut ''!!

Agents that are known to cause frequent infections among laboratory workers such as those causing Q fever, tularemia, brucellosis, glanders, coccidioidomycosis, etc., belong in this category.

Now with P fixed at Af, Af-values occur when the corner Af crosses C, and are among the values of S such that Af.

In discussing the process of communication, Loomis defines it as `` the process by which information, decisions, and directives are transmitted among actors and the ways in which knowledge, opinions, and attitudes are formed, or modified by interaction ''.

and a mere cost apportionment which somehow spreads among the classes and units of service even those costs that are strictly unallocable from the standpoint of specific cost determination.

But in the second subtype, which I take to be the one more frequently applied, only the operating expenses and not the `` cost of capital '' or `` fair return '' are apportioned directly among the various classes of service.

To be sure, the capital investments in ( or, alternatively, the estimated `` fair values '' of ) the plant and equipment are apportioned among the different classes, as are also the gross revenues received from the sales of the different services.

There are obvious reasons of convenience for this practice of excluding `` cost of capital '' from the direct apportionment of annual costs among the different classes of service -- notably, the avoidance of the controversial question what rate of return should be held to constitute `` cost of capital '' or `` fair rate of return ''.