Which of the following is not an assumption of a shortest path problem?A) The lines connecting certain pairs of nodes always allow travel in either direction.B) Associated with each link or arc is a nonnegative number called its length.C) A path through the network must be chosen going from the origin to the destination.D) The objective is to find a shortest path from the origin to the destination.E) None of the choices is correct

Which of the following is not an assumption of a minimum-cost flow problem?A) At least one of the nodes is a supply node.B) There is an equal number of supply and demand nodes.C) Flow through an arc is only allowed in the direction indicated by the arrowhead.D) The cost of the flow through each arc is proportional to the amount of that flow.E) The objective is either to minimize the total cost or to maximize the total profit.

Consider all scenarios in which we have a city on a flat plane in which all roads are straight lines; the points at which two (or more) roads meet are called junctions; and we have two points A and B that are accessible from each other by road.In this question you have to determine whether the following statement is true or false.Among all possible routes between A and B, the shortest route goes through the fewest number of junctions.The following points may be helpful:Consider using a pen and paper to draw a few maps when thinking about this problem.The statement is about all possible scenarios, not just a particular city map that you may happen to draw. The statement is about all maps imaginable (with the above-mentioned properties). Obviously you cannot draw all possible maps, so you need to reason about this problem.The statement is true if you can convince yourself that it holds in all possible maps for all possible pairs of locations A and B. The statement is false if you can draw a map in which the statement does not hold.You can assume all distances are finite.Is the statement true or false?

What is a crucial requirement for Dijkstra’s algorithm (for finding shortest path) to work correctly?Select one:a. All edge weights in the graph must be equal.b. The graph must be fully connected.c. The graph must be a tree.d. The graph must not contain any negative edge weights.

Use the following network with distances between nodes (in miles) to find the shortest path from node 1 to each of the remaining nodes (2, 3, 4, 5, 6, and 7). Then answer the following questions.   Flag question: Question 3Question 3Tips2 ptsWhat type of network model is used to solve this problem?Group of answer choicesshortest routeminimal spanning treemaximal flowsupport vector machine

A good path in routing typically means?Question 1Answera.least cost pathb.desirable cost pathc.determine cost pathd.five maximum cost path