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between a specific pair of vertices in is given by

:

where refers to Euler's constant, and

:

The number of matchings of the complete graphs are given by the telephone numbers
: 1, 1, 2, 4, 10, 26, 76, 232, 764, 2620, 9496, 35696, 140152, 568504, 2390480, 10349536, 46206736, ... .

These numbers give the largest possible value of the

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