Recommended Reading for non-CS undergraduate student doing a research Project on Travelling Salesman Problem

I am an undergraduate student in Industrial Engineering. I have taken the topic of Travelling Salesman Problem as a Research Project for my final year. More specifically, I am focusing on Convex Hulls for solving the Euclidean TSP.

I have gone through the published literature and have found that there are no approximation bounds for solving TSP using this method. I have just a little background in TheoCS (Started reading for fun since the last 3 months).

My Question:

Additional Books / Papers needed for achieving a good understanding of the mathematical rigor of the problem.

Here's what I am currently going through:

• Approximation Algorithms - Vazirani

• Introduction to Algorithms - CLRS

• Introduction to Graph Theory - Douglas West

• Randomized Algorithms - Motwani and Raghavan

I have also completed an introductory online course on Algorithms by Udacity.

I think I may need some background reading in Computational Geometry (Currently I do not know more than what I read in the chapter from Cormen)

This is my first question here, so sincere apologies in case my question does not conform to the Community Standards.

EDIT:

A resource I stumbled across today: In Pursuit of the Traveling Salesman - Mathematics at the Limits of Computation.
This is a good book for popular reading, providing a survey of the problem and various methods that have been used to solve it.

There are a few good books on the TSP problem where you are likely to find some relevant information:

Lawler et al., eds. The traveling salesman problem: A guided tour of combinatorial optimization. Wiley, 1985.

G. Reinelt. The traveling salesman: computational solutions for TSP applications. Springer, 1994.

G. Gutin and A. P. Punnen, eds. The traveling salesman problem and its variations. Kluwer, 2004.

Good luck with your research!

StackExchange Computer Science Q#3539, answer score: 5