Prove that a minimum spanning tree of a graph component must include a shortest edge

Describe how to determine if a back edge in an undirected graph creates an odd length cycle using only pre and post order numbers for each vertex.

A graph is a tree if and only if graph Lütfen birini seçin: O A. is completely connected O B. is a directed graph O C. is planar O D. contains no cycles

for the graphWhat edges are selected to obtain the minimum spanning tree? Select one or more than one:

6. Determine the breadth-first and depth-first traversals for the following graph: (start with vertex A) B A E

Suppose we ran Prim's algorithm on the graph starting from node 0. Which edge would be added to the minimum spanning tree third? 0,1 O 0,2 O 0,3 O 0,4 O 1,2 O 2,3 3,4

An undirected, connected graph with least weight edges is a subgraph that contains all vertices. There may be several spanning trees for a given graph. In a spanning tree, the total weight is the sum of the weights of all of the edges. The number of edges in an MST is (vertices - 1).