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The number of empty neighbors of a cluster.

The Dyck graph is unique cubic symmetric graph on 32 nodes, illustrated above in a number of embeddings. It is denoted F_(032)A in the Foster census of cubic symmetric graphs ...

A graph cycle.

e is transcendental.

The double-struck capital letter I, I, is a symbol sometimes used instead of Z for the ring of integers. In contrast, the lower case symbol i is used to refer to the ...

Definitions about a set which depend on the entire set.

A general concept in category theory involving the globalization of local morphisms.

The appropriate notion of integer for surreal numbers.

A sum over all cluster perimeters.

The unknot, also called the trivial knot (Rolfsen 1976, p. 51), is a closed loop that is not knotted. In the 1930s Reidemeister first proved that knots exist which are ...