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asked in Graph Theory by Junior (781 points)   | 46 views
Consider loop as self-loop. That is an edge connecting a vertex to itself.

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Loop implies self loop. Check the following link for difference between a loop and a cycle:

http://math.stackexchange.com/questions/1490053/what-is-the-difference-between-a-loop-cycle-and-strongly-connected-components-i

Answer should be B.

Graph will have to contain a cycle so that every vertex has degree >= 2.

Graph may not be connected, because there may be two components in the graph, each having a cycle so that each of the vertices may have degree >=2

 

answered by Loyal (3k points)  
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