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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 |

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). |

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