dominating-set | Exponential backtracker that finds the minimum dominating

by ornata C Version: Current License: No License

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kandi X-RAY | dominating-set Summary

dominating-set is a C library typically used in User Interface applications. dominating-set has no bugs, it has no vulnerabilities and it has low support. You can download it from GitHub.

Exponential backtracker that finds the minimum dominating set of an input graph.

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dominating-set has a low active ecosystem.

It has 6 star(s) with 0 fork(s). There are 1 watchers for this library.

It had no major release in the last 6 months.

dominating-set has no issues reported. There are no pull requests.

It has a neutral sentiment in the developer community.

The latest version of dominating-set is current.

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dominating-set has no bugs reported.

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dominating-set has no vulnerabilities reported, and its dependent libraries have no vulnerabilities reported.

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dominating-set releases are not available. You will need to build from source code and install.

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Community Discussions

Trending Discussions on dominating-set

minimum number of nodes that traverse entire graph

QUESTION

minimum number of nodes that traverse entire graph

Asked 2018-Nov-16 at 06:11

Note: The question is entirely changed.

In the following graph, we can traverse entire graph if we select the nodes 0 and 2. I am looking for an efficient algorithm which returns this two nodes. Note that this is neither vertex-cover problem nor dominating-set problem since we don't need to select node 3. We say that, if we select node 0, we can go to node 1 from there and if we select node 2, we can go to node 3 and then node 4 from there.

If I run a SCC algorithm on it, it finds all vertices as a different SCC and I can't go from there to anywhere:

...

ANSWER

Answered 2018-Nov-16 at 06:11

If there is no cycle in the graph i.e. the graph is a Directed Acyclic Graph (DAG), then we just need to count the indegrees for each node. The set of nodes with indegree 0 is the required set.

In case you are not familiar with indegree, if there is an edge a->b then indegree of b increases by 1.

This works because, if there is an edge a->b i.e. b has an indegree it means there is a node a from which b is reachable. So it is always better to include node a to the set instead of b. A node with indegree 0 has no other way to get visited unless we start with the node itself. So it will be included in the set.

In case there is a cycle in the graph, we search for Strongly Connected Components(SCC). Then we have build a new graph considering a SCC as one node and add edges from initial graph which connect two different SCC's. The new graph will be a DAG. Then we can apply the above procedure to find the required set of nodes.

Source https://stackoverflow.com/questions/53299261

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