MATH/CSCI Graph Theory Help:) Thank you for helping me I appreciate it, will definitely upvote the correct solution! Please read the question carefully and answer it fully! If you handwrite the solution, please be as legible as possible:) take care and have.a great day!!

(a) (10 points) Write a precise definition for bipartite graph. Do not use a theorem in your definition. (b) (20 points) I have a simple undirected graph G with 16 vertices and 65 edges. Prove that G cannot be bipartite. Your solution should be coherent and precise. Do not leave out any details whatsoever. Write complete sentences. Lack of clarity and precision will result in point deductions