Suppose You Have a Graph G with Vertices V₁, V₂ $v _ { 5 } \text { to } v _ { 3 }$

question 21

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 $v _ { 5 } \text { to } v _ { 3 }$ of length 12.
(b) The length of a shortest path from $v _ { 5 } \text { to } v _ { 3 }$ .

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Definitions:

Plasticity

The capacity of the brain to change and adapt as a result of experience or injury, including the ability to reorganize pathways and create new connections.

Neurogenesis

The process of the formation of new neurons in the brain.

Split Brain

A condition resulting from surgery that isolates the brain’s two hemispheres by cutting the fibers (mainly those of the corpus callosum) connecting them.

Corpus Callosum

The large band of neural fibers connecting the two hemispheres of the brain, facilitating communication and coordination between them.