Answer:
Here are the definitions for the requested terms:
a) State Space Graph: A state space graph represents all possible states of a problem and the transitions between those states. It is a mathematical model of all possible configurations of a system and how it can move between those configurations.
b) Exhaustive Search: An exhaustive search comprehensively enumerates all possible solutions to a problem to find the optimal solution. It guarantees to find the best possible solution but can be computationally infeasible for large problems.
c) Heuristics: Heuristics are rules of thumb, intuitive methods, or insights that can help guide problem solving and decision making. They provide an approximate solution rather than an exact optimum. Common heuristics include trial-and-error, imitation, and rule of thumb.
d) Path: A path refers to a sequence of connecting routes through a space (physical or conceptual) that leads from an origin point to a destination point. It indicates a way of getting from one place or state to another.
e) Rooted Graph: A rooted graph is a directed graph that has one designated node called the root. Any node in the graph can be reached by following the directed edges from the root. Rooted graphs are useful for depth-first search and traversal.
The key characteristics of a rooted graph are:
It is a directed graph
It has one node designated as the root
Every node in the graph can be reached by following edges from the root
The graph has a hierarchical structure with the root at the top and nodes farther from the root at lower levels.
Step-by-step explanation: