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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 ...

A game in which each player has a finite number of moves and a finite number of choices at each move.

B_(p+k)=B_k+B_(k+1) (mod p), when p is prime and B_n is a Bell number.

An integer used to generate a digitaddition. A number can have more than one generator. If a number has no generator, it is called a self number.

In any tree, the number of dissimilar points minus the number of dissimilar lines plus the number of symmetry lines equals 1.

Given two intersecting lines or line segments, the amount of rotation about the point of intersection (the vertex) required to bring one into correspondence with the other is ...

A dozen dozen, or the square number 144.

Schubert's application of the conservation of number principle.

An unknot which can only be unknotted by first increasing the number of crossings.

The word residue is used in a number of different contexts in mathematics. Two of the most common uses are the complex residue of a pole, and the remainder of a congruence. ...