1. Consider the following graph.

a. Write down the adjancency matrix and adjancency lists specifying this graph. (Assume that the matrix rows and columns and vertices in the adjacency lists follow in the alphabetical order of the vertex labels.)

b. Starting at vertex a and resolving ties by the vertex alphabetical order, traverse the graph by depth-first search and construct the corresponding depth-first search tree. Give the order in which the vertices were reached for the first time( pushed onto the traversal stack) and the order in which the vertices became dead ends(popped off the stack).