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As proposed by Hosoya (1971), the Hosoya index (also called Z-index) of a graph is defined by Z = sum_(k=0)^(n)|a_k| (1) = sum_(k=0)^(n)b_k, (2) where n is the number of ...

The Beatty sequence is a spectrum sequence with an irrational base. In other words, the Beatty sequence corresponding to an irrational number theta is given by |_theta_|, ...

The number of empty neighbors of a cluster.

A Ramsey number of the form R(k,k;2).

A term for number theory.

The ordered pair (s,t), where s is the number of real embeddings of the number field and t is the number of complex-conjugate pairs of embeddings. The degree of the number ...

The algebraic integers in a number field.

The number p in a fraction p/q, i.e., the dividend.

The number q in a star polygon {p/q}.

The product of any number of perspectivities.