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1.- A tree is central if its center is K1 and bicentral if its center is K2. Show that every tree is central or bicentral. ( Kn is call complete graph and it if every two of its vertices are adjacent and every vertex has degree n)
2.- Prove taht a tree with Delta(T)=k ( Delta means maximum degree) has at least k vertices of degree 1.
3.- Prove that in a connected graph G every two longest paths have a common vertex.
Let G be a finite group with the property that all of its proper subgroups are Abelian. Let N be a proper normal subgroup of G. Show that either N is contained in the center of G or else G has a normal subgroup H which is a maximal subgroup o..
What is factoring by grouping? When factoring a trinomial by grouping, why is it necessary to write the trinomial in four terms? Use an example and show the work.
Find the x-and y-intercepts ofline represented by the equatics with stepy by step instructions and explained in words
a scale drawing of a rectangle room has a length of 6 inches and a width of 4 inches. the drawing uses a scale of one
Evaluate the ratios and check are the ratios equivalent.
Calculate the Galois group.
Describe and compare how the runners run the race. At what time is the distance between the runners the greatest? At what time do they have the same velocity?
identify the sample and suggest a population from which it was selected. then classify the sample as sample stratified
The techniques for solving linear equations and linear inequalities are similar, yet different - Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.
During a flu outbreak in a school of 763 children, the number of infected children, I, was expressed in the terms of susceptible (but still healthy) children. What is the maximum possible number of infected?
find the equation of a line that passes through the point 07 that is perpendicular to the line with the equation y
find the axis of symmetry for y 4x2nbsp 16x - 2.a.nbspnbspy 2b.nbspnbspy -2c.nbspnbspy 8d.nbspnbspy
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