Question: This is the topic I am studying currently. Please see. https://drive.google.com/file/d/1THu__ApEXsihcq_67uO1ciwz56hIyRZd/view?usp=sharing On Slide 3 and Slide 5 are two theorems (stated but not proved), which

This is the topic I am studying currently. Please see.

https://drive.google.com/file/d/1THu__ApEXsihcq_67uO1ciwz56hIyRZd/view?usp=sharing

On Slide 3 and Slide 5 are two theorems (stated but not proved), which are essentially what are asked. I need help deriving them. For clarity I will upload the exact questions.

Here is the question:

https://drive.google.com/file/d/1cLZOB7uwk2_HBoZQQOosK5ECIPjwX7Dg/view?usp=sharing

It is not an incomplete question nor is there any link/graph missing. This is the proof of the theorems stated in the Slides 3 and 5 of the PPT uploaded above. And the links are working correctly, I checked. This is the past year assignment question verbatim. And these have been offered as a guide for this year's midterm.

Please please read the PPT. It is needed to understand the context.

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