One of the basic motivations behind the minimum spanning tree problem is the goal of designing a spanning network for a set of nodes with minimum total cost. here we explore another type of objective: designing a spanning network for which the most expensive edge is as cheap as possible. specifically, let g=(v, e) be a connected graph with n vertices, m edges, and positive edge costs that you may assume are all distinct. let t m (v. e) be a spanning tree of g; we define the bottleneck edge of t to be the edge of t with the greatest cost. a spanning tree t of g is a minimum-bottleneck spanning tree if there is no spanning tree t of c with a cheaper bottleneck edge. is every minimum-bottleneck tree of g a minimum spanning tree of g? prove or give a counterexample. is every minimum spanning tree of g a minimum-bottleneck tree of g? prove or give a counterexample.

Jenny wants to look at row 345 and compare it to row 17. what can she do if she wanted to easily adjust to see both at once?

Fill in the following program so that it will correctly calculate the price of the orange juice the user is buying based on the buy one get one sale.#include //main functionint main() { int cartons; float price, total; //prompt user for input information printf("what is the cost of one container of oj in dollars? \n"); scanf(" [ select ] ["%d", "%c", "%f", "%lf"] ", & price); printf("how many containers are you buying? \n"); scanf(" [ select ] ["%d", "%c", "%f", "%lf"] ", & cartons); if ( [ select ] ["cartons / 2", "cartons % 1", "cartons % 2", "cartons % price", "cartons / price", "cartons / total"] [ select ] ["=", "==", "! =", "< =", "> =", "< "] 0) total = [ select ] ["price * cartons", "cartons * price / 2 + price", "(cartons / 2) * price", "cartons / (2.0 * price)", "(cartons / 2.0) * price + price", "((cartons / 2) * price) + price"] ; else total = ((cartons / 2) * price) + price; printf("the total cost is $%.2f.\n", total); return 0; }

Which option correctly describes a dbms application? a. software used to manage databases b. software used to organize files and folders c. software used to develop specialized images d. software used to create effective presentations