Calculate the density of directed and undirected graph?
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The density of a subgraph in an undirected graph is defined as the average degree of the subgraph. For directed graphs, the density is defined as the ratio of the number of edges going from one subset of vertices to another subset, divided by the square root of the product of the sizes of the subsets. Finding subgraphs of maximum density is a well-studied problem, and there are polynomial time algorithms available when there are no size constraints. However, when a size constraint is specified, finding a maximum density subgraph becomes NP-hard. There are approximation algorithms available that can find subgraphs within a factor of 2 of the optimum density.
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| The paper does not provide information about calculating the density of directed and undirected graphs. | |
| The density of a subgraph in an undirected graph is calculated as the ratio of the number of edges in the subgraph to the number of vertices. In a directed graph, the density is calculated as the ratio of the number of edges going from one subset of vertices to another subset, to the square root of the product of the sizes of the subsets. | |
523 Citations | The density of a directed graph is defined as the maximum density of any subset of vertices, while the density of an undirected graph is defined as the maximum density of any subset of vertices. |
| The paper does not provide information about calculating the density of directed and undirected graphs. | |
| The graph density calculation method described in the paper can be used to calculate the density of both directed and undirected graphs. |
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