document.write( "Question 1163007: N,O,P,Q,R,S,T,U and edge set {{N,P},{N,U},{O,Q},{O,S},{O,T},{P,R},{P,U},{S,T},{S,U}} .\r
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document.write( "a. What is the degree of vertex Q ?
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document.write( "b. What is the degree of vertex U?
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document.write( "c. How many components does the graph have? \n" );
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Algebra.Com's Answer #786944 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "This is one way to draw out the graph. The vertices are {N,O,P,Q,R,S,T,U}. \n" ); document.write( " ![]() \n" ); document.write( "When we write something like edge {N,P}, we mean that there is a line segment or some kind of curve connecting N to P.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==========================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a. What is the degree of vertex Q ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The degree for vertex Q is 1 as there is only one connection from vertex Q to any other vertex. We have vertex Q connect to vertex O, as the edge {O,Q} shows.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b. What is the degree of vertex U?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The degree is 3. We have three edges connect vertex U to the vertices N, S and P.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c. How many components does the graph have?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 8 vertices and 9 edges, making a total of 8+9 = 17 components overall. \n" ); document.write( " \n" ); document.write( " |