Definition 2.1 (graph). A graph is an ordered pair (V,E), where V is called the vertex set and E is called the edge set. With each e ∈ E, we associate two vertices (perhaps the same) u and v, which we call the ends of e. Definition 2.2 (Basic Terminology).
Graph: a graph is a pair G = (V,E) with V a set of vertices and E a set of edges — (unordered) pairs of vertices. The edge e = {x, y} is often written e = xy; since edges are unordered, this is the same as yx.
Graph Definition
A graph is an ordered pair G=(V,E) G = ( V , E ) consisting of a nonempty set V (called the vertices ) and a set E (called the edges ) of two-element subsets of V.
A graph is a slightly abstract represention of some objects that are related to each other in some way, and of these relationships. The objects are drawn as dots called vertices; a line (or curve) connects any two vertices representing objects that are related or adjacent; such a line is called an edge.
A directed graph, also called a digraph, is a graph in which the edges have a direction. This is usually indicated with an arrow on the edge; more formally, if v and w are vertices, an edge is an unordered pair {v,w}, while a directed edge, called an arc, is an ordered pair (v,w) or (w,v).
Children are first taught what a digraph is, by explaining that a digraph is two letters that make one sound - they can also be made up of vowels or consonants.
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges, often called arcs.
A vertex of a graph is said to be pendant if its neighborhood contains exactly one vertex.
Vertices, Faces and Edges are the three properties that define any three-dimensional solid. A vertex is the corner of the shape whereas a face is a flat surface and an edge is a straight line between two faces.
In graph theory, a loop (also called a self-loop or a buckle) is an edge that connects a vertex to itself.
The graph of the absolute value parent function is composed of two linear "pieces" joined together at a common vertex (the origin). The graph of such absolute value functions generally takes the shape of a V, or an up-side-down V.
The graph of a linear equation in two variables is a straight line. From these statements we can conclude, If an ordered pair is a solution to a linear equations in two variables, then it lies on the graph of the equation.
Visually, this means that the graphs will intersect at at least one common point. A system is both consistent and dependent if two of the equations represent the same graph. Visually, this means that two of the equations represent the same graph. If there are no solutions to a system, it is called inconsistent.
For example, it can indicate the absolute value of a number, as in |-5| = 5. This means that the absolute value of -5 is 5. The vertical bar can also express divisibility.
(Variance of given ) V [ X | Y ] = E [ ( X − E [ X | Y ] ) 2 | Y ]
V used in this sense is a correlation statistic. It tells you if two variables covary (does one variable change when the other changes) and by how much; A V-value of 0 indicates no correlation while 1 indicates perfect correlation.
A universal vertex is a vertex that is adjacent to every other vertex in the graph. A cut vertex is a vertex the removal of which would disconnect the remaining graph; a vertex separator is a collection of vertices the removal of which would disconnect the remaining graph into small pieces.
An edge is where two faces meet. A vertex is a corner where edges meet.
A vertex is a corner. An edge is a line segment between faces.
A two-dimensional shape which is enclosed by a finite number of straight lines joining in the form of a closed-loop is called a polygon. The line segments which make the polygon are known as polygon's sides or edges. Whereas the corner or the point where any two sides join is called the vertex of the polygon.
A graph has an Euler circuit if and only if the degree of every vertex is even. A graph has an Euler path if and only if there are at most two vertices with odd degree.
The vertex of a 2D figure is the point of intersection of two sides of the shape. The two sides of the shape or figure meet to form an angle, and thus a vertex is formed. In the above 2D figures, V represents the vertices of each figure. A square and a rectangle have four vertices each.
A digraph in the English language is a group of two successive letters that represents a single sound or phoneme. Common vowel digraphs include ai (rain), ay (day), ea (teach), ea (bread), ea (break), ee (free), ei (eight), ey (key), ie (piece), oa (road), oo (book), oo (room), ow (slow), and ue (true).
The digraph can be made up of vowels or consonants. A trigraph is a single sound that is represented by three letters. Consonant digraphs are taught in Reception. There is then a whole range of vowel digraphs that are taught in Year 1.
There are split digraphs 'a-e, e-e, i-e, o-e' occurring in words like 'cave, these, like, home'. These same letter combinations can be seen in the two syllable words 'camel, panel, seven, given, rivet, honest, oven'.