This function computes iteratively the shortest path trees of maximum height equal to 1 and choosing the root a priori as the node of maximal degree, for each connected component.

1 | ```
DESP_SPT_MaxDegreeRoot2(Graph)
``` |

`Graph` |
The undirected weighted graph. |

`DESP_SPT_MaxDegreeRoot2`

returns a list of lists with components (shortest path trees):

`root` |
The undirected weighted graph. |

`penult` |
The vector containing the preceding node on the shortest path tree for each node of the graph. The root of a tree is considered to be preceded by itself. |

`nodes` |
The set of nodes that actually belong to the tree. |

Arnak Dalalyan and Samuel Balmand.

Dijkstra, E. W. (1959): A note on two problems in connexion with graphs, *Numer. Math.*, **1**, 269–271.

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