t is state space graph? Design the state space graph for the artificial agent to be deployed in a vacuum cleaner. Consider 3 rooms, each ro

For each graph below determine the minimum number of colors necessary to colorits vertices. Justify your answer, by (i) giving a coloring and (ii) explaining why it is not possibleto use fewer colors. You can represent colors by letters a, b, c, .... To show the coloring, mark eachvertex with its color

Java - Consider the following directed graph.

construct a graph with five vertices and six edges that consists of a circuit with six edges and two cycles with three edges.

Consider the following graph: a Specify a simple cycle. Use only lower case letters. If the graph has any cycles which are not simple and which have no repeated edges, specify one. If there are none enter none Use only lower case letters.

Discrete Mathematics Suppose a graph has five vertices of degree 2 and three vertices of degree 3 and the remaining vertices are of degree 1. If the graph has 16 edges, what is the number of vertices of degree 1. Please do not use drawing for your answer.

3. For the maze shown below, use graph theory to determine whether it is possible to get out from the Entrance to the Exit. Walk through each doorway exactly once and exit the maze with the shortest path/ walking distance. Give justification to your answer why you chose this theory? Compare your answer with another theory/approach? Exit H G F E D B A Entrance

Define a graph and a path.

M2

You are given a graph with five vertices (1,2,3,4,5). You are also told that the DFS sequence is 123245421 Which of the following are NOT possible edges to be left out of the DFS (2,5) (3,4) (1,4) (3,5)