successorswhose

Successorswhose is not a standard term in mathematics or computer science but has appeared in informal discussions as a coined or shorthand phrase. In such use, it is treated as a compound of two concepts: successors and whose, signaling a subset of successor elements that possess a defined property. Because it is not canonical, its exact meaning can vary by author or context, making precise definition essential when it is encountered.

Definition and interpretation

In a relational structure such as a graph or a rooted tree, for a given element v the set of successors of v is the collection of elements that can be reached by a single application of the successor relation. When an author writes successorswhose P, they intend the subset of those successors that satisfy a predicate P. Formally, if Succ(v) denotes the successors of v, then successorswhose P is {u in Succ(v) | P(u)}. The same idea can be extended to transitive closure or to multi-step relations, but the basic intention remains selecting successors that meet a property.

Usage and examples

In narrative or data-structuring discussions, one might say: “Consider the successorswhose label is ‘leaf’.” In a graph query language or ontology, the phrase would map to a query that returns outgoing edges from a node to elements with a specified attribute. Because the phrase is informal, it is important to provide explicit definitions of both the successor relation and the predicate P to avoid ambiguity.

Relation to related concepts

Successorswhose aligns with standard ideas such as successor relations, filtering by predicates, and relational selection. It should not replace precise syntax in formal writing; when used, it is best accompanied by a clear formal specification of Succ and P. See also successor, whose, and graph query terminology.