What is the chromatic number of the above graph? List the vertices in groups with the same color, with the groups separated by semicolons (i.e. AFC; B; G D; E).

A forest contains 50 vertices and 54 edges. how many connected components does the graph have?

For the 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.

How many entries would the adjacency list representation for the following graph contain? (Assume that the array slots for each vertex count as one entry, and the linked list nodes for edges each count as one entry as well.) D B E A F G

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.

What are the degrees and neighborhoods of the vertices in the graph?

Draw the graph that has V(G) = {v1,v2,v3,v4,v5,v6}, E(G) = {e1,e2,e3,e4,e5,e6,e7,e8,e9,e10} and edge - endpoint function as shown. Scan or photograph your graph and upload the file. Edge Endpoints e1 {v1,v2} e2 {v2,v3} e3 {v1,v4} e4 {v2,v4} e5 {v1,v5} e6 {v2,v6} e7 {v3,v5} e8 {v3,v6} e9 {v4,v5} e10 {v5,v6}

Draw Edge List Structure, Adjacency List Structure and Adjacency Matrix Structure representation of the following graph: e23 3 e24 14 4

What is the maximum number of edges that can be present in a graph, that has 10 vertices, and has a valid vertex coloring with only 3 colors?

Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the undirected graph. Identify the number of vertices in the given graph.