# Triadic and indirect relationship on a graph

Triadic closure: .. 3-rd order indirect relation generated by a quadruple closure. . mechanism of triadic closure in the dual graph system G. usually considered triadic closure, i.e., allowing quadruple closure and any other higher indirect relation in a pair of members of one of the two modes is generated (or induced) by together by a third 2-mode social network (bipartite graph). Today the network of relationships linking the human race to itself and to the rest of the over, clustering the vertices of graphs regarding their triadic structure, switches as well as for the loop switch the inverse transformation is of the same.

To emphasize that X and Y can be different sets, some authors call these heterogeneous relations. For example, the green relation in the diagram is injective, but the red relation is not, as it relates e. Both relations in the picture are functional.

An example for a non-functional relation can be obtained by rotating the red graph clockwise by 90 degrees, i. The green relation is one-to-one, but the red is not.

Totality properties only definable if the sets of departure X resp. For example, R is left-total when it is a function or a multivalued function. Note that this property, although sometimes also referred to as total, is different from the definition of total in the next section.

Both relations in the picture are left-total.

## indirect relationship

The green relation is surjective, but the red relation is not, as it doesn't relate any real number x to e. Uniqueness and totality properties: Both the green and the red relation are functions. An injective function or injection: A surjective function or surjection: For the theoretical explanation see Category of relations. Some important properties that a binary relation R over a set X may have are: The equality relation is the only example of a both reflexive and coreflexive relation, and any coreflexive relation is a subset of the identity relation.

The previous 4 alternatives are far from being exhaustive; e. The latter two facts also rule out quasi-reflexivity. A relation is asymmetric if and only if it is both anti-symmetric and irreflexive.

A dependent variable changes in relation to an independent variable, while an independent variable changes, for purposes of analysis, freely in value. A relationship could be thought of as a connection; you connect two variables to establish an association. There are two relationships you need to know about in economics. A positive or direct relationship is one in which the two variables we will generally call them x and y move together, that is, they either increase or decrease together.

An excellent example is the price of steel, and the response of steel suppliers to bring steel to the market; as the price increases, so does the willingness of producers to bring more of the good to the market. The example we gave of the relationship between height and weight is a direct or positive relationship. In a negative or indirect relationship, the two variables move in opposite directions, that is, as one increases, the other decreases.

Consider the price of coffee and the demand for the good. As the price of coffee, for example, goes to higher and higher levels, we can predict that people will substitute tea or hot chocolate for it, and buy less. As the price of coffee declines, people will buy more and more of it, and quite possibly buy more than they would regularly buy, and store or accumulate it for future consumption, or to sell it to others.

This relationship is negative or indirect, that is, as the price variable typically, in economics, the y variable increases, the quantity variable typically, the x variable decreases; and, as the price variable decreases, the quantity demanded increases.

These relationships between positivly- and negatively-related variables are demonstrated in the graphs Figure 1 which follow, positive first and negative second: What is the value of graphs in the study of economics? Graphs are a very powerful visual representation of the relationship between or among variables.

They assist learners in grasping fairly quickly key economic relationships. Years of statistical analysis have gone into the small graph you can examine to learn about key forces and trends in the economy. Further, they help your instructor to present data in a way which is small-scale or economical, and establish a relationship, frequently historical, between variables in a certain kind of relationship.

They permit learners and instructors to establish quickly the peaks and valleys in data, to establish a trend line, and to discuss the impact of historical events such as policies on the data that we wish to analyze.

Types of Graphs in Economics There are various kinds of graphs used in business and economics that illustrate data. These include pie charts segments are displayed as portions, usually percentages, of a circlescatter diagrams points are connected to establish a trendbar graphs results for each year can be displayed as an upward or downward barand cross section graphs segments of data can be displayed horizontally.

You will deal with some of these in economics, but you will be dealing principally with graphs of the following variety. Certain graphs display data on one variable over a certain period of time. For example, we may want to know how the inflation rate has varied in the Canadian economy from We would choose an appropriate scale for the rate of inflation on the y vertical axis; and on the x horizontal axis show the ten years from to with on the left, and on the right.

We would notice right away a trend. The trend in the inflation rate data is a decline, actually from a high of 5. We would see that there has been some increase in the inflation rate since its absolute low inbut not anything like the high. And, if we did such graphs for each of the decades in Canada sincewe would see that the s were a unique decade in terms of inflation. No decade, except the s, shows any resemblance to the s.

We can then discuss the trends meaningfully, since we have ideas about the data over a major period of time. We can link the data with historical events such as government anti-inflation policies, and try to establish some connections. Other graphs are used to present a relationship between two variables, or in some instances, among more than two variables.

Consider the relationship between price of a good or service and quantity demanded. The two variables move in opposite directions, and therefore demonstrate a negative or indirect relationship. Aggregate demand, the relationship between the total quantity of goods and services demanded in the entire economy, and the price level, also exhibits this inverse or negative relationship.

If the price level based on the prices of a given base year rises, real GDP shrinks; while if the price level falls, real GDP increases. Further, the supply curve for many goods and services exhibits a positive or direct relationship. The supply curve shows that when prices are high, producers or service providers are prepared to provide more goods or services to the market; and when prices are low, service providers and producers are interested in providing fewer goods or services to the market.

The aggregate expenditure, or supply, curve for the entire Canadian economy the sum of consumption, investment, government expenditure and the calculation of exports minus imports also shows this positive or direct relationship. Construction of a Graph You will at times be asked to construct a graph, most likely on tests and exams.

### Inverse relationships

You should always give close attention to creating an origin, the point 0, at which the axes start. Label the axes or number lines properly, so that the reader knows what you are trying to measure. Most of the graphs used in economics have, a horizontal number line or x-axis, with negative numbers on the left of the point of origin or 0, and positive numbers on the right of the origin. Figure 2 presents a typical horizontal number line or x-axis. In economics graphs, you will also find a vertical number line or y-axis.

Here numbers above the point of origin 0 will have a positive value; while numbers below 0 will have a negative value. Figure 3 demonstrates a typical vertical number line or y-axis. When constructing a graph, be careful in developing your scale, the difference between the numbers on the axes, and the relative numbers on each axis.

The scale needs to be graduated or drawn properly on both axes, meaning that the distance between units has to be identical on both, though the numbers represented on the lines may vary. You may want to use single digits, for example, on the y-axis, while using hundreds of billions on the x-axis. Using a misleading scale by squeezing or stretching the scale unfairly, rather than creating identical distances for spaces along the axes, and using a successive series of numbers will create an erroneous impression of relationship for your reader.

If you are asked to construct graphs, and to show a knowledge of graphing by choosing variables yourself, choose carefully what you decide to study.

- Binary relation

Here is a good example of a difficulty to avoid. Could you, for example, show a graphical relationship between good looks and high intelligence? I don't think so. First of all, you would have a tough time quantifying good looks though some social science researchers have tried! Intelligence is even harder to quantify, especially given the possible cultural bias to most of our exams and tests.

### What is indirect relationship? definition and meaning - salonjardin.info

Finally, I doubt if you could ever find a connection between the two variables; there may not be any. Choose variables that are quantifiable. Height and weight, caloric intake and weight, weight and blood pressure, are excellent personal examples. The supply and demand for oil in Canada, the Canadian interest rate and planned aggregate expenditure, and the Canadian inflation rate during the past forty years are all quantifiable economic variables.

You also need to understand how to plot sets of coordinate points on the plane of the graph in order to show relationships between two variables.