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Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?
Let G be a directed graph whose vertex set is the set of numbers from 1 to 100. There is an edge from a vertex i to a vertex j if and only if either j = i + 1 or j = 3i. The minimum number of edges in a path in G from vertex 1 to vertex 100 is 
A person wants to visit some places. He starts from a vertex and then wants to visit every vertex till it finishes from one vertex, backtracks and then explore other vertex from same vertex. What algorithm he should use?
Let G be a directed graph whose vertex set is the set of numbers from 1 to 50. There is an edge from a vertex i to a vertex j if and only if either j = i + 1 or j = 3i. Calculate the minimum number of edges in a path in G from vertex 1 to vertex 50.
Steps are given to find the axis of a parabola. Arrange the steps. i. Draw a perpendicular GH to EF which cuts parabola. ii. Draw AB and CD parallel chords to given parabola at some distance apart from each other. iii. The perpendicular bisector of GH gives axis of that parabola. iv. Draw a line EF joining the midpoints lo AB and CD.
Steps are given to find focus for a parabola. Arrange the steps. i. Draw a perpendicular bisector EF to BP, Intersecting the axis at a point F. ii. Then F is the focus of parabola. iii. Mark any point P on the parabola and draw a perpendicular PA to the axis. iv. Mark a point B on the on the axis such that BV = VA (V is vertex of parabol
If focus of parabola is F (2, 5) and equation of directrix is x + y=2, then find the equation of parabola.
Find the vertex and latus rectum of parabola, whose axis is parallel to Y - axis and which passes through the points (0, 2), (1, 3) and (-2, 6), is
Find the equation of the parabola which is symmetric about the x - axis, with vertex at the origin and passes through the point P (-2, 3)?
If vertex is at (1, 2) and focus (2, 0) then find the equation of the parabola.