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The 6-polyiamond illustrated above.
The central factorials x^([k]) form an associated Sheffer sequence with f(t) = e^(t/2)-e^(-t/2) (1) = 2sinh(1/2t), (2) giving the generating function ...
A point v is a central point of a graph if the eccentricity of the point equals the graph radius. The set of all central points is called the graph center.
A point in a weighted tree that has minimum weight for the tree. The set of all centroid points is called a tree centroid (Harary 1994, p. 36). The largest possible values ...
The 6-polyiamond illustrated above.
A node which is one graph edge further away from a given node in a rooted tree.
An alternative term for a binomial coefficient, in which (n; k) is read as "n choose k." R. K. Guy suggested this pronunciation around 1950, when the notations ^nC_r and ...
Let a graph G have graph vertices with vertex degrees d_1<=...<=d_m. If for every i<n/2 we have either d_i>=i+1 or d_(n-i)>=n-i, then the graph is Hamiltonian.
It is possible to place 7 cigarettes in such a way that each touches every other if l/d>7sqrt(3)/2 (Gardner 1959, p. 115).
A closed trail is called a circuit when it is specified in cyclic order but no first vertex is explicitly identified.
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