πŸ“Š Design and Analysis of Algorithms
Q. A k-regular bipartite graph is the one in which degree of each vertices is k for all the vertices in the graph. Given that the bipartitions of this graph are U and V respectively. What is the relation between them?
  • (A) number of vertices in u=number of vertices in v
  • (B) number of vertices in u not equal to number of vertices in v
  • (C) number of vertices in u always greater than the number of vertices in v
  • (D) nothing can be said
πŸ’¬ Discuss
βœ… Correct Answer: (A) number of vertices in u=number of vertices in v

Explanation: we know that in a bipartite graph sum of degrees of vertices in u=sum of degrees of vertices in v. given that the graph is a k-regular bipartite graph, we have k* (number of vertices in u)=k*(number of vertices in v).


Explanation by: Mr. Dubey
we know that in a bipartite graph sum of degrees of vertices in u=sum of degrees of vertices in v. given that the graph is a k-regular bipartite graph, we have k* (number of vertices in u)=k*(number of vertices in v).

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