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What is the adjacency list representation of a directed graph?
In a directed graph, the adjacency list representation is a data structure that stores each vertex and its outgoing edges in a list. Each vertex is associated with a list of its neighboring vertices that it has an edge pointing towards. This representation is commonly used to efficiently store and retrieve information about the connections between vertices in a directed graph.
What are the differences between an edge list and an adjacency list in graph theory?
In graph theory, an edge list is a simple list that shows the connections between nodes in a graph by listing the pairs of nodes that are connected by an edge. An adjacency list, on the other hand, is a more structured representation that lists each node and its neighboring nodes. The main difference is that an edge list focuses on the edges themselves, while an adjacency list focuses on the nodes and their connections.
When should one use an adjacency matrix instead of an adjacency list in graph representation?
An adjacency matrix is more suitable for representing dense graphs with many edges, while an adjacency list is better for sparse graphs with fewer edges. Use an adjacency matrix when the graph is dense and you need to quickly check for the presence of an edge between any two vertices.
What are the properties of an irreducible graph and how does it impact the connectivity of the graph?
An irreducible graph is a graph where every pair of vertices is connected by a path. This means that there are no isolated vertices or disconnected components in the graph. The property of irreducibility ensures that the graph is connected, meaning that there is a path between any two vertices in the graph. This connectivity property is important in analyzing the structure and behavior of the graph, as it allows for the study of paths, cycles, and other connectivity-related properties.
Can you provide an example of a minimum cut in a graph?
A minimum cut in a graph is a set of edges that, when removed, disconnects the graph into two separate components. An example of a minimum cut in a graph is shown in the image below: Image of a graph with a set of edges highlighted that, when removed, disconnect the graph into two separate components
What is a picture created from a set of numbers?
It is a graph.
What is the difference between a pictograph and a picture graph?
pictograph is a visual representation of numeric data; all the quantity would be represented in this graph. where as a picturegraph is a graph showing comparision of quantities with the help of a picture for ex. bar chart, pie etc.
What is a picture put into a graph?
A picture put into a graph is a picture put into a graph
How do you use a picture graph?
picture graph
Why does speed increase when slope increases?
The slope of the line on a graph of position vs. time is a representation of the speed. When the speed increases, its representation on the graph increases, otherwise it wouldn't be called a "representation". The appearance of a person's hair-do in a photograph is a representation of the length of his hair. If his hair gets longer, then it appears longer in the snapshot. But you wouldn't ask (I hope) ... "Why does his hair get longer when it looks longer in the picture?"
What is 175 percent as a pie graph?
175% would be a pie graph and then 3/4 of another one. See the related link, "175% pie graph" for a picture.
What is a difference between a picto graph and a picture graph?
a picture graph is an actual picture of the item being graphed and a picto graph is a symbol of the item being graphed
What are picture graphs of atcient Egypt?
a "picture-graph" or "pictograph" is a egyptian picture formed as a graph.
A graph is a pictorial representation of what?
Any type of graph is a pictorial representation of data values. A continuous line graph, such as a curve or a parabola, may represent a variable equation.
Why would you use a graph?
A graph is used as a visual representation of data
A pictoral representation of data?
graph
How is a graph similar to a data table?
A graph is similar to a data table in that they both present the data. A difference is that the graph is more of a visual representation. Often, trends in the data are easy to recognize in the visual representation of the graph.
