Question: For a positive integer k, let H be a 2k-regular graph of order 4k+1. Let G be obtained from H by removing a set of

For a positive integer k, let H be a 2k-regular graph of order 4k+1. Let G be obtained from H by removing a set of k-1 independent edges from H. Prove that

chi '(G)=Delta (G)+1

X (G) = A(G) +1

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