On symmetric structures of order two
2008 ◽
Vol Vol. 10 no. 2
(Combinatorics)
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Keyword(s):
Combinatorics International audience Let (w_n)0 < n be the sequence known as Integer Sequence A047749 In this paper, we show that the integer w_n enumerates various kinds of symmetric structures of order two. We first consider ternary trees having a reflexive symmetry and we relate all symmetric combinatorial objects by means of bijection. We then generalize the symmetric structures and correspondences to an infinite family of symmetric objects.
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