directed = truefalse

Specifies whether the output graph should be directed or undirected when the input is a Newick string. The default is true. When the input is not a string, this option is ignored.

root = string, name, or integer

Specifies a root vertex when the input is an undirected graph. The default value is the first vertex in the list returned by Vertices. When the input is not an undirected graph, this option is ignored.

Newick(G), where G is a graph, returns a string comprising the Newick encoding of G.

If G is undirected, it must be a tree.

If G is directed, it must be an arborescence or anti-arborescence.

Newick(s), where s a string, returns a graph whose Newick encoding is s.

$\mathrm{with}\left(\mathrm{GraphTheory}\right)\:$

$T≔\mathrm{Graph}\left(10\,\left\{\left\{1\,8\right\}\,\left\{2\,3\right\}\,\left\{2\,7\right\}\,\left\{4\,6\right\}\,\left\{5\,6\right\}\,\left\{6\,7\right\}\,\left\{6\,8\right\}\,\left\{7\,9\right\}\,\left\{8\,10\right\}\right\}\right)$

$T≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 10\; vertices\; and\; 9\; edge(s)}$

$\mathrm{Newick}\left(T\right)$

$''(((4,5,((3)2,9)7)6,10)8)1;''$

$A≔\mathrm{Graph}\left(10\,\left\{\left[2\,5\right]\,\left[3\,4\right]\,\left[3\,7\right]\,\left[4\,1\right]\,\left[5\,3\right]\,\left[5\,6\right]\,\left[9\,8\right]\,\left[10\,2\right]\,\left[10\,9\right]\right\}\right)$

$A≔\mathrm{Graph\; 2:\; a\; directed\; graph\; with\; 10\; vertices\; and\; 9\; arc(s)}$

$\mathrm{Newick}\left(A\right)$

$''(((((1)4,7)3,6)5)2,(8)9)10;''$

$\mathrm{Newick}\left(''(((((6,(((9)16)4)15)8,(11,(19)20)10)2,(17)12,13)3,(7)5)14,18)1;''\right)$

$\mathrm{Graph\; 3:\; a\; directed\; graph\; with\; 20\; vertices\; and\; 19\; arc(s)}$

$\mathrm{Newick}\left(''(((((((4:2.990)10:6.574)9:5.323)6:2.994,(5:1.025)8:6.644)7:2.876)3:8.254)2:6.146)1;''\right)$

$\mathrm{Graph\; 4:\; a\; directed\; weighted\; graph\; with\; 10\; vertices\; and\; 9\; arc(s)}$

The GraphTheory[Newick] command was introduced in Maple 2021.

For more information on Maple 2021 changes, see Updates in Maple 2021.