Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Kirchhoff tree polynomial | Statement: [Symanzik polynomials, generalizationOf, Kirchhoff tree polynomial]

Target entity: Kirchhoff tree polynomial
Context triple: [Symanzik polynomials, generalizationOf, Kirchhoff tree polynomial]

• A. Tutte polynomial
  The Tutte polynomial is a fundamental graph invariant in combinatorics that encodes extensive structural information about a graph, unifying and generalizing numerous other graph invariants such as the chromatic and flow polynomials.
• B. matrix-tree theorem chosen
  The matrix-tree theorem is a fundamental result in algebraic graph theory that expresses the number of spanning trees of a graph as a determinant of a matrix derived from the graph’s Laplacian.
• C. R-polynomials
  R-polynomials are certain recursively defined polynomials associated with pairs of elements in a Coxeter group that play a key role in the combinatorial and representation-theoretic structure underlying Kazhdan–Lusztig theory.
• D. Symanzik polynomials
  Symanzik polynomials are graph-based polynomials that arise in the parametric representation of Feynman integrals in quantum field theory, encoding the topology and kinematic dependence of Feynman diagrams.
• E. Pólya enumeration theorem
  The Pólya enumeration theorem is a fundamental result in combinatorics that counts distinct configurations of objects under group actions by using cycle index polynomials and generating functions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.