In an in-tree/anti-arborescence, how are the notions of children/parents/siblings/ancestors defined?

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A directed rooted tree, can have two main orientations: away from the root (the usual case) (out-tree/arborescence), and towards the root, in which case it is called an in-tree or anti-arborescence. In an arborescence, the following terminology is used for vertices:



  • leaf

  • child

  • parent

  • ancestor

  • descendants

  • siblings

I was wondering whether the same terminology was used for in-trees (and if so with what definition), or if an equivalent terminology (other words to describe the same kind of relationships) existed.



Note: sources and diagrams are welcome.



EDIT: here is the problem. According to a comment, in an in-tree, children are vertices attached to in-edges. However, in a "genealogy tree", every node has 1 child, but several parents. Between these two views, what's the commonly accepted terminology used in graph theory?




graph-theory terminology trees




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  • From what I've seen, the same terminology is used in both cases. It's just a matter or being careful when defining the concepts. For instance, in an out-tree a child is an out-neighbor, but in an in-tree a child is an in-neighbor.
    – Manuel Lafond
    Jul 19 at 17:29














up vote
0
down vote

favorite












A directed rooted tree, can have two main orientations: away from the root (the usual case) (out-tree/arborescence), and towards the root, in which case it is called an in-tree or anti-arborescence. In an arborescence, the following terminology is used for vertices:



  • leaf

  • child

  • parent

  • ancestor

  • descendants

  • siblings

I was wondering whether the same terminology was used for in-trees (and if so with what definition), or if an equivalent terminology (other words to describe the same kind of relationships) existed.



Note: sources and diagrams are welcome.



EDIT: here is the problem. According to a comment, in an in-tree, children are vertices attached to in-edges. However, in a "genealogy tree", every node has 1 child, but several parents. Between these two views, what's the commonly accepted terminology used in graph theory?




graph-theory terminology trees




share|cite|improve this question





















  • From what I've seen, the same terminology is used in both cases. It's just a matter or being careful when defining the concepts. For instance, in an out-tree a child is an out-neighbor, but in an in-tree a child is an in-neighbor.
    – Manuel Lafond
    Jul 19 at 17:29












up vote
0
down vote

favorite









up vote
0
down vote

favorite











A directed rooted tree, can have two main orientations: away from the root (the usual case) (out-tree/arborescence), and towards the root, in which case it is called an in-tree or anti-arborescence. In an arborescence, the following terminology is used for vertices:



  • leaf

  • child

  • parent

  • ancestor

  • descendants

  • siblings

I was wondering whether the same terminology was used for in-trees (and if so with what definition), or if an equivalent terminology (other words to describe the same kind of relationships) existed.



Note: sources and diagrams are welcome.



EDIT: here is the problem. According to a comment, in an in-tree, children are vertices attached to in-edges. However, in a "genealogy tree", every node has 1 child, but several parents. Between these two views, what's the commonly accepted terminology used in graph theory?




graph-theory terminology trees




share|cite|improve this question













A directed rooted tree, can have two main orientations: away from the root (the usual case) (out-tree/arborescence), and towards the root, in which case it is called an in-tree or anti-arborescence. In an arborescence, the following terminology is used for vertices:



  • leaf

  • child

  • parent

  • ancestor

  • descendants

  • siblings

I was wondering whether the same terminology was used for in-trees (and if so with what definition), or if an equivalent terminology (other words to describe the same kind of relationships) existed.



Note: sources and diagrams are welcome.



EDIT: here is the problem. According to a comment, in an in-tree, children are vertices attached to in-edges. However, in a "genealogy tree", every node has 1 child, but several parents. Between these two views, what's the commonly accepted terminology used in graph theory?





graph-theory terminology trees





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Jul 19 at 17:39
























asked Jul 19 at 17:06









Vincent

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  • From what I've seen, the same terminology is used in both cases. It's just a matter or being careful when defining the concepts. For instance, in an out-tree a child is an out-neighbor, but in an in-tree a child is an in-neighbor.
    – Manuel Lafond
    Jul 19 at 17:29
















  • From what I've seen, the same terminology is used in both cases. It's just a matter or being careful when defining the concepts. For instance, in an out-tree a child is an out-neighbor, but in an in-tree a child is an in-neighbor.
    – Manuel Lafond
    Jul 19 at 17:29















From what I've seen, the same terminology is used in both cases. It's just a matter or being careful when defining the concepts. For instance, in an out-tree a child is an out-neighbor, but in an in-tree a child is an in-neighbor.
– Manuel Lafond
Jul 19 at 17:29




From what I've seen, the same terminology is used in both cases. It's just a matter or being careful when defining the concepts. For instance, in an out-tree a child is an out-neighbor, but in an in-tree a child is an in-neighbor.
– Manuel Lafond
Jul 19 at 17:29















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