Let a graph have vertices O, P, Q, R, S, T, U, V and edge set { { O,P} , {O,Q} , {O,S} {O,T} {Q,R} {Q,T} {Q,V} {R,S} {R,V} {T,U} } a. What is the degree of vertex ? b. What is the degree of vertex ? c. How many components does the graph have?

Let a graph have vertices O, P, Q, R, S, T, U, V and edge set { { O,P} , {O,Q} , {O,S} {O,T} {Q,R} {Q,T} {Q,V} {R,S} {R,V} {T,U} } a. What is the degree of vertex ? b. What is the degree of vertex ? c. How many components does the graph have?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

. How many edges does a complete graph K, have? Prove / explain your answer.
15. How many edges has each of the wheel graph W105? A. 210 B. 211 D. 209 D. 105
2. Draw a graph with the following vertex and edge sets: (a) V = {a,b, c, d, e, f} and E = {ac, ad, ba, eƒ, dc, de} %3D (b) V = {a, 8, 7, 4} and E = {ad, &y, yø, pa, p8, ya} %3D
Let a graph have vertices n, o, p, q, r, s, t, u and edge set {{n,o}, {n,q}, {n,r}, {n, s}, {n, u}, {p,t}, {q,t}, {r,t}, {r,u}} . On paper, draw the graph. Then answer the questions below. a. What is the degree of vertex s? b. What is the degree of vertex r? c. How many connected components does the graph have?
5. Consider the undirected graph G = {V, E}, where V, the set of nodes, is {1,2,3,4} and E, the set of edges, is {{1, 2}, {2,3}, {1,3}, {2,4}, {1,4}}. Draw the graph G. What is the degree of each node? Indicate on your drawing of G a path from node 3 to node 4 that uses three edges (has length 3).
1. Which set of line segments forms a right triangle? *Select ALL that apply* Set A Set B Set C
Draw these graphs. a) K1,4 b) W4
a. the number of edges in the graph, b. the number of vertices in the graph, c. the number of vertices that are of odd degree, d. whether the graph is connected, and e. whether the graph is a complete graph. 5.
Let a graph have vertices H, I, J, K, L, M and edge set TH,I}, {H, K},{I, J}, {I, L},{J, K}, {J, M}, {K, M}, {L, M}}. a. What is the degree of vertex H ? b. What is the degree of vertex J? c. How many components does the graph have?
2. A graph has vertices of degrees 0, 2, 2, 3, and 9. How many edges does the graph have?
E B What is the edge set of the graph? АВ, АС, AD, BC, ВЕ, DE А, В, С, D, E АВ, АС, AD, AЕ
A 10) For the graph in number " 9 ", above, identify the degree of each Vertex: A= B= C= G= D= E= F= GRAPH "C" B E D C F G 20) H 11) What is the Vertex Set (GRAPH "C"): ANSW: 12) What is the Edge Set (GRAPH "C"): ANSW: 13) Is the Graph Connected (GRAPH "C"): Y or N TR THE J 15) Is there an Euler Circuit in this graph (GRAPH "C")? Y or N Use content from your text to explain why or why not. K PLEASE READ THE FOLLOWING QUESTIONS WELL: 14) If #13 is No, How many components are in the graph (GRAPH "C"): ANSW: If #13 is Yes, identify all circuits of Length 1: ANSW: doms 16) Find a general path, in the graph (GRAPH "C"), if possible, that starts at vertex "G" and ends at vertex " H " and has a length of "5". ANSW: 17) Find a general circuit, in the graph (GRAPH "C"), if possible, that starts at vertex "A" and 10 ends at vertex "A O 18) What type of edges can make up a circuit of length 2 ? 19) DRAW A GRAPH THAT HAS 10 VERTICES, IS CONNECTED AND CONTAINS AN EULER CIRCUIT. The number of edges…