1. Let a graph have vertices s,t,u,v,w,x and edge set {{s,u},{s,w},{t,w],{t,x},{w,x}}. How many connected components does the graph have? 2. Let a graph have vertices O,P,Q,R,S,T,U and edge set {{O,P},{O,R},{P,T},{P,U},{R,U},{S,U}}. How many components does the graph have?

1. Let a graph have vertices s,t,u,v,w,x and edge set {{s,u},{s,w},{t,w],{t,x},{w,x}}. How many connected components does the graph have? 2. Let a graph have vertices O,P,Q,R,S,T,U and edge set {{O,P},{O,R},{P,T},{P,U},{R,U},{S,U}}. 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

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Question

1. Let a graph have vertices s,t,u,v,w,x and edge set {{s,u},{s,w},{t,w],{t,x},{w,x}}. How many connected components does the graph have?

2. Let a graph have vertices O,P,Q,R,S,T,U and edge set {{O,P},{O,R},{P,T},{P,U},{R,U},{S,U}}. How many components does the graph have?

Expert Solution

Step 1

1. For given graph G

Vertex set is G(V) = {s,t,u,v,w,x}

Edge set is G(E) = {{s,u},{s,w},{t,w},{t,x},{w,x}}.

So we have graph as,

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