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# Questions tagged [graphs]

For questions related to graphs, a mathematical object consisting of a set of nodes with edges connecting certain pairs of them.

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### MIP formulation for graph planarity test

In this question, it was asked wether a MIP formulation exists to test for a graph's planarity. The inputs are the graph's nodes and edges, and the output would be a certificate which guarantees that ...
1 vote
75 views

### Traffic lights optimization (part 2)

This is a follow up question of this thread, in which it is asked how to model a circular layout of a given set of cliques of a graph, which represent simultaneous movements at an intersection. @...
33 views

### How to embed an arbitrary graph into (k,d)-kautz space (like multidimensional scaling of non-normed space)

How to embed an arbitrary graph into (k,d)-kautz space (like multidimensional scaling of non-normed space)? See details in the following. Given a graph $G = \{V,E\}$, we have a distance matrix (the ...
1 vote
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### Coloring of nodes of a sensor network

It is the same problem as posted at Coloring of nodes in a sensor networks. Its about coloring a weighted graph. @RobPratt suggested a very good solution that solves the problem directly. However, we ...