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How do you determine if the graph of a quadratic function has a min or max from its equation?

If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value


What is a min cut and how does it relate to graph theory?

A min cut in graph theory is the smallest number of edges that need to be removed to disconnect a graph. It is important in graph theory because it helps identify the most crucial connections in a network. By finding the min cut, we can understand the resilience and connectivity of a graph.


What scale will you use for your graph?

A scale which uses the area of the graph to its maximum.


What is the significance of the min-cut in graph theory and how does it impact network connectivity and flow optimization?

In graph theory, a min-cut is a set of edges that, when removed, disconnects a graph into two separate parts. This is significant because it helps identify the minimum capacity needed to break a network into two disconnected parts. Min-cuts play a crucial role in network connectivity and flow optimization by helping to determine the maximum flow that can pass through a network, as well as identifying bottlenecks and optimizing the flow of resources in a network.


How do you find relative minimum and maximum according to a graph in math?

Any graph should be titled and have maximum and minimum values listed on it. The minimum values are usually on the bottom left and the maximum values are on the top right and bottom right of the graph.


In math what is a landmark?

Like, it shows a stat in a graph or group of things such as: the Median, range, Mode, Max, Min, Mean.


What is unimodel?

Unimodal is having a normal disturbution. The mean, median, and mode are all a the center. When looking at a graph, there is one maximum.


What does min and max represent?

Minimum and maximum


What is the maximum flow that can be achieved in a residual graph?

In a residual graph, the maximum flow that can be achieved is the maximum amount of flow that can be sent from the source to the sink without violating capacity constraints on the edges.


How many minimum edges in a Cyclic graph with n vertices?

The term "cyclic graph" is not well-defined. If you mean a graph that is not acyclic, then the answer is 3. That would be the union of a complete graph on 3 vertices and any number of isolated vertices. If you mean a graph that is (isomorphic to) a cycle, then the answer is n. If you are really asking the maximum number of edges, then that would be the triangle numbers such as n (n-1) /2.


How does the reduction from clique to independent set demonstrate the relationship between finding a maximum clique in a graph and finding a maximum independent set in the same graph?

Reducing a clique problem to an independent set problem shows that finding a maximum clique in a graph is equivalent to finding a maximum independent set in the same graph. This means that the solutions to both problems are related and can be used interchangeably to solve each other.


What does peak mean when using line graphs?

The peak of any graph is the highest point (usually in the y direction). The peak is the maximum value.