The major arteries that take blood away from the heart are the aorta and pulmonary arteries.
The Systemic aorta is the major blood vessel that brings back blood to heart from most body parts.
The major blood vessel that needs to be cut when removing a heart during a transplant is the aorta. It is the main artery that carries oxygen-rich blood from the heart to the rest of the body.
Pulmonary trunk
The major blood vessels coming into the heart are the superior and inferior vena cava. The aorta leaves the heart. These would have to be cut.
The blood vessels are the part of the circulatory system that transports blood throughout the human body. There are three major types of blood vessels: the arteries, which carry the blood away from the heart; the capillaries, which enable the actual exchange of water and chemicals between the blood and the tissues; and the veins, which carry blood from the capillaries back toward the heart. The word vascular, meaning relating to the blood vessels, is derived from the Latin vas, meaning vessel.
I don't understand what your implying in the question, but oxygen-rich blood returns to the heart through pulmonary veins; these enter the left atrium. I hope that was helpful.
The superior vena cava
It contains the heart, major blood vessel's, trachea and esophagus, lymph nodes and nerves as well as the thymus.
Aorta
There are several vessels. The major ones are the two ureters from each kidney to the urethra.
Some areas in your body are supplied by more than one blood vessel. These extra vessels are called collateral blood vessels. For example, there is a major collateral vessel in the thigh. This is used by cardiologists to perform a heart bypass when the heart's own vessels are blocked.