Hi! Our teacher sent us sample questions we can practice for our upcoming test next week. Can you help me understand this? Thank you! Make a graph/graph model for each of the following. Determine the order and size of each graphmodel.1. G = (V,E) where V(G) = {a, b, c, d, e, ƒ } and E (G) = {ae, bc, bd,cd, fb, fd,cc}.2. The vertex set is the set of six Fibonacci numbers S = {2,3,5,8,13,21} and for i, j e S, {i,j} €E if and only if i+j€S or |i – j| E S.3. A major publishing company has ten editors (referred to by 1,2,3,..,10) divided into sevencommittees as follows: c = {1,2,3}, c2 = {1,3,4,5}, c3 = {2,5,6,7}, C4 = {4,7,8,9},C5 = {2,6,7}, c6 = {8,9,10}, c, = {1,3,9,10}. Represent the committees as vertices andCiCjisan edge if and only if they have a common member.What is a logical question to ask in this situation which is answerable by analyzing the graphmodel ?4. Let V = {act, aim, arc, arm, art, car, cat, oar, oat, rat, tar}, a collection of 3-letter words bethe vertices. Two elements of V form an edge iff they are transformations of each other. Theword W; is a transformation of W; if W; is obtained from W; by performing exactly one ofthe following steps:(1) Interchanging two letters of W; (i.e., act and cat are transformations of each other);(2) Replacing a letter in W; by another letter ( i.e., aim and arm are transformations of eachother).Note: A graph is called a word graph if it is a graph of some set of words.

This is a graph theory problem.. we will solve this in the next step.

G = (V,E) where V(G) = {a,b, c, d, e, f }and E(G) = {ae,bc,bd, cd, fb, fd,cc}. . The vertex set is the set of six Fibonacci numbers S = {2,3,5,8,13,21} and for i, j e S, {i,j} € E if and only if i+j€S or |i – j| E S. %3D 1 00 10)

G = (V,E) where V(G) = {a,b, c, d, e, f }and E(G) = {ae,bc,bd, cd, fb, fd,cc}. . The vertex set is the set of six Fibonacci numbers S = {2,3,5,8,13,21} and for i, j e S, {i,j} € E if and only if i+j€S or |i – j| E S. %3D 1 00 10)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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