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(Solved): 2 points) Let G be a bipartite k-regular graph with k1 and partition A and B. Prove that A ...

$2 points) Let \( G \) be a bipartite \( k \)-regular graph with \( k \geq 1 \) and partition \( A \) and \( B \). Prove that$

2 points) Let

G

be a bipartite

k

-regular graph with

k ? 1

and partition

A

and

B

. Prove that

? A ? = ? B ?

ind

G

has a perfect matching.

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Step 1 for following processTo prove that a bipartite k-regular graph G with k ? 1 and partition A and B has a perfect matching and |A| = |B|, we can

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