Math

Consider the graph with V = [A, B, C, D, E] and E = [AX, AY, AZ, BB, CX, CY, CZ, YY]. Without drawing a picture of the graph
a. List all the vertices adjacent to Y
b. List all the edges adjacent to
c. Find the degree of Y
d. Find the sum of the degrees of the vertices

asked by Meredith
  1. a.
    A vertex adjacent to Y is one which is linked by an edge (∈E) to Y.
    An example from the set E above would be AY. The edge YY is a loop, i.e. it links back to itself, so Y is NOT considered adjacent to Y.

    b.
    question incomplete.
    If the question had been List all the edjacent to X, then it would be all the edges that contain at least one vertex as X:
    AX, CX (∈E).

    c.
    The degree of a vertex is the number of edges that are incident (connected) to the vertex. Loops are counted twice for degree.

    d.
    Will be left for you as an exercise.

    posted by MathMate

Respond to this Question

First Name

Your Response

Similar Questions

  1. College Algebra

    1.Answer the following for the given quadratic function. f(x) = -2x^2 - 8x - 13 (a) does the graph of f open up or down? (b) what is the vertex (h,k) of f? (c) what is the axis of symmetry? (d) what are the intercepts? (e) how is
  2. college algebra

    Question 638522: Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. For example, if you were asked to graph y= x^2+ 1 using transformations, you would
  3. calculus reposted

    Given the graph of f(x) find the graph of 2 f( -3x - 2) - 4 Is this correct??? First, compress the graph horizontally by 3. Second, reflect the graph over the y-axis. Third, shift the graph 2 units to the right. Fourth, stretch
  4. college algebra

    Graph the following function using transformations.  Be sure to graph all of the stages on one graph.  State the domain and range.    For example, if you were asked to graph  y= x^2+11 using transformations, you would
  5. calculus

    Given the graph of f(x) find the graph of 2 f( -3x - 2) - 4 Is this correct??? First, compress the graph horizontally by 3. Second, reflect the graph over the y-axis. Third, shift the graph 2 units to the right. Fourth, stretch
  6. Calc

    The graph of f ′(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false? The graph of f is always concave up. The graph of f has an inflection point at x = 0. The graph of f has
  7. Calculus

    The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is false? (4 points) The graph of f has an inflection point at x = 0. The graph of f has a relative maximum at
  8. Calculus really quick check

    The graph of f ′(x) is continuous and decreasing with an x-intercept at x = 2. Which of the following statements must be true? Edit The graph of f has an inflection point at x = 2. The graph of f has a relative maximum at x = 2.
  9. pre calculus

    2. Graph the following function using transformations. Be sure to graph all of the stages on one graph. State the domain and range. y= -2 lxl +2 For example, if you were asked to graph y= x^2 + 1 using transformations, you would
  10. Algebra Help

    5. 3x + y = 2 Graph A Graph B Graph C Graph D (let me know how i can send you the pictures of the graphs ) i chose graph c
  11. Algebra

    1.what is the range of f(x)=2. 2. How to graph f(x)=5x. 3. How to graph f(x)=-3x^2-1. 4. How to graph f(x)=-2\sqrt{x}. 5. How do we graph -4/x/. 6.It is curved at 1 on the graph. How to solve f(x)=2.

More Similar Questions