Suppose You Have a Graph G with Vertices

question 67

Essay

Suppose you have a graph G with vertices v1, v2, . . . , v17 Explain how you would use the adjacency matrix A to find
(a) The number of paths from v5 to v3 of length 12 .
(b) The length of a shortest path from v5 to v3

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Definitions:

Periosteum

A dense, fibrous membrane covering the outer surface of bones, providing nourishment and involved in bone growth and repairing.

Synovial Cavity

A fluid-filled space that exists between bones that are encapsulated by a synovial membrane, aiding in smooth movement of the joints.

Articular Surfaces

The surfaces of bones that come into contact with one another to form joints, often covered with cartilage to reduce friction.

Sesamoid Bone

A small, round bone embedded within a tendon; its primary function is to protect tendons and increase their mechanical advantage.